A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction–subdiffusion equation View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-12

AUTHORS

Xiaoyong Xu, Da Xu

ABSTRACT

In this paper, a high-order numerical scheme is proposed for solving the two-dimensional fractional reaction–subdiffusion equation. The method is based on adopting a third-order weighted and shifted Grünwald difference (WSGD) operator to approximate the time Caputo fractional derivative and applying the orthogonal spline collocation (OSC) method to approximate the spatial derivative. Stability and convergence analysis of the proposed method are rigorously proved. Several numerical examples in one variable and in two space variables are presented to validate our theoretical analysis. More... »

PAGES

75

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13662-019-2022-7

DOI

http://dx.doi.org/10.1186/s13662-019-2022-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112389860


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0103", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Numerical and Computational Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Hunan Normal University", 
          "id": "https://www.grid.ac/institutes/grid.411427.5", 
          "name": [
            "College of Mathematics and Statistics, Hunan Normal University, Changsha, P.R. China", 
            "School of Science, East China University of Technology, Nanchang, P.R. China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Xu", 
        "givenName": "Xiaoyong", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Hunan Normal University", 
          "id": "https://www.grid.ac/institutes/grid.411427.5", 
          "name": [
            "College of Mathematics and Statistics, Hunan Normal University, Changsha, P.R. China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Xu", 
        "givenName": "Da", 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.cam.2011.01.011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000645117"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/00207160.2014.887702", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003798146"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1587126", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004588810"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.apnum.2016.09.009", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004834952"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10915-014-9956-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005914516", 
          "https://doi.org/10.1007/s10915-014-9956-4"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jcp.2016.10.006", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007109960"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cam.2014.11.020", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008929656"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jcp.2014.10.051", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009252875"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/mma.3839", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011428368"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jcp.2012.08.026", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011869998"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.amc.2007.09.020", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011963265"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.camwa.2015.09.011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012808909"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0377-0427(00)00509-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013203580"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0378-4371(99)00469-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014448139"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0025-5718-2015-02917-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017050757"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1140/epjst/e2013-01977-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018897597", 
          "https://doi.org/10.1140/epjst/e2013-01977-9"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1177/1077546314566835", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023458097"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1177/1077546314566835", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023458097"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.camwa.2009.07.006", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026203030"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11071-016-2843-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026979679", 
          "https://doi.org/10.1007/s11071-016-2843-9"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jcp.2013.09.016", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026992057"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jcp.2013.02.014", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029335224"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cam.2013.05.022", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034259265"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.amc.2016.08.028", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034961085"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jcp.2014.10.060", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035875342"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.camwa.2016.08.015", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036072418"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.camwa.2016.08.015", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036072418"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/num.20460", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037023323"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/num.20460", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037023323"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11075-014-9877-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038067118", 
          "https://doi.org/10.1007/s11075-014-9877-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/b978-0-444-50616-0.50005-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041143377"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11075-015-0065-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043601484", 
          "https://doi.org/10.1007/s11075-015-0065-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cam.2004.01.033", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049718243"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jcp.2007.02.001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050068518"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jcp.2014.08.012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051913822"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s002110050067", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052866455", 
          "https://doi.org/10.1007/s002110050067"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1093/imanum/drp024", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059689590"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0717050", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062852691"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0723020", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062853158"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0728056", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062853646"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0733031", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062854082"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/s0036142996302396", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062877365"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/s003614450240506x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062877784"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.14419/ijamr.v3i4.3678", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1067301841"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.matcom.2017.03.008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1084532752"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11071-017-3525-y", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1084774931", 
          "https://doi.org/10.1007/s11071-017-3525-y"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11071-017-3525-y", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1084774931", 
          "https://doi.org/10.1007/s11071-017-3525-y"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/00207160.2017.1324150", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1085312886"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.camwa.2017.12.004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1100085796"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.camwa.2017.12.004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1100085796"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00366-018-0584-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1100914459", 
          "https://doi.org/10.1007/s00366-018-0584-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10915-018-0672-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1101079505", 
          "https://doi.org/10.1007/s10915-018-0672-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/00207160.2018.1450502", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1101521951"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11075-018-0509-z", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1101767820", 
          "https://doi.org/10.1007/s11075-018-0509-z"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11075-018-0509-z", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1101767820", 
          "https://doi.org/10.1007/s11075-018-0509-z"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11075-018-0509-z", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1101767820", 
          "https://doi.org/10.1007/s11075-018-0509-z"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11075-018-0509-z", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1101767820", 
          "https://doi.org/10.1007/s11075-018-0509-z"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.5043780", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1105573821"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2019-12", 
    "datePublishedReg": "2019-12-01", 
    "description": "In this paper, a high-order numerical scheme is proposed for solving the two-dimensional fractional reaction\u2013subdiffusion equation. The method is based on adopting a third-order weighted and shifted Gr\u00fcnwald difference (WSGD) operator to approximate the time Caputo fractional derivative and applying the orthogonal spline collocation (OSC) method to approximate the spatial derivative. Stability and convergence analysis of the proposed method are rigorously proved. Several numerical examples in one variable and in two space variables are presented to validate our theoretical analysis.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1186/s13662-019-2022-7", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1052613", 
        "issn": [
          "1687-1839", 
          "1687-1847"
        ], 
        "name": "Advances in Difference Equations", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "2019"
      }
    ], 
    "name": "A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction\u2013subdiffusion equation", 
    "pagination": "75", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "33c7a927f790c39e17814b122d45ddc967dd20022e297478108888d4147eaabc"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1186/s13662-019-2022-7"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1112389860"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1186/s13662-019-2022-7", 
      "https://app.dimensions.ai/details/publication/pub.1112389860"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T10:03", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000347_0000000347/records_89824_00000004.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1186%2Fs13662-019-2022-7"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1186/s13662-019-2022-7'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1186/s13662-019-2022-7'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s13662-019-2022-7'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s13662-019-2022-7'


 

This table displays all metadata directly associated to this object as RDF triples.

227 TRIPLES      21 PREDICATES      77 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1186/s13662-019-2022-7 schema:about anzsrc-for:01
2 anzsrc-for:0103
3 schema:author Na4e170802e094276b4abfad84a51295d
4 schema:citation sg:pub.10.1007/s002110050067
5 sg:pub.10.1007/s00366-018-0584-8
6 sg:pub.10.1007/s10915-014-9956-4
7 sg:pub.10.1007/s10915-018-0672-3
8 sg:pub.10.1007/s11071-016-2843-9
9 sg:pub.10.1007/s11071-017-3525-y
10 sg:pub.10.1007/s11075-014-9877-1
11 sg:pub.10.1007/s11075-015-0065-8
12 sg:pub.10.1007/s11075-018-0509-z
13 sg:pub.10.1140/epjst/e2013-01977-9
14 https://doi.org/10.1002/mma.3839
15 https://doi.org/10.1002/num.20460
16 https://doi.org/10.1016/b978-0-444-50616-0.50005-1
17 https://doi.org/10.1016/j.amc.2007.09.020
18 https://doi.org/10.1016/j.amc.2016.08.028
19 https://doi.org/10.1016/j.apnum.2016.09.009
20 https://doi.org/10.1016/j.cam.2004.01.033
21 https://doi.org/10.1016/j.cam.2011.01.011
22 https://doi.org/10.1016/j.cam.2013.05.022
23 https://doi.org/10.1016/j.cam.2014.11.020
24 https://doi.org/10.1016/j.camwa.2009.07.006
25 https://doi.org/10.1016/j.camwa.2015.09.011
26 https://doi.org/10.1016/j.camwa.2016.08.015
27 https://doi.org/10.1016/j.camwa.2017.12.004
28 https://doi.org/10.1016/j.jcp.2007.02.001
29 https://doi.org/10.1016/j.jcp.2012.08.026
30 https://doi.org/10.1016/j.jcp.2013.02.014
31 https://doi.org/10.1016/j.jcp.2013.09.016
32 https://doi.org/10.1016/j.jcp.2014.08.012
33 https://doi.org/10.1016/j.jcp.2014.10.051
34 https://doi.org/10.1016/j.jcp.2014.10.060
35 https://doi.org/10.1016/j.jcp.2016.10.006
36 https://doi.org/10.1016/j.matcom.2017.03.008
37 https://doi.org/10.1016/s0377-0427(00)00509-4
38 https://doi.org/10.1016/s0378-4371(99)00469-0
39 https://doi.org/10.1063/1.1587126
40 https://doi.org/10.1063/1.5043780
41 https://doi.org/10.1080/00207160.2014.887702
42 https://doi.org/10.1080/00207160.2017.1324150
43 https://doi.org/10.1080/00207160.2018.1450502
44 https://doi.org/10.1090/s0025-5718-2015-02917-2
45 https://doi.org/10.1093/imanum/drp024
46 https://doi.org/10.1137/0717050
47 https://doi.org/10.1137/0723020
48 https://doi.org/10.1137/0728056
49 https://doi.org/10.1137/0733031
50 https://doi.org/10.1137/s0036142996302396
51 https://doi.org/10.1137/s003614450240506x
52 https://doi.org/10.1177/1077546314566835
53 https://doi.org/10.14419/ijamr.v3i4.3678
54 schema:datePublished 2019-12
55 schema:datePublishedReg 2019-12-01
56 schema:description In this paper, a high-order numerical scheme is proposed for solving the two-dimensional fractional reaction–subdiffusion equation. The method is based on adopting a third-order weighted and shifted Grünwald difference (WSGD) operator to approximate the time Caputo fractional derivative and applying the orthogonal spline collocation (OSC) method to approximate the spatial derivative. Stability and convergence analysis of the proposed method are rigorously proved. Several numerical examples in one variable and in two space variables are presented to validate our theoretical analysis.
57 schema:genre research_article
58 schema:inLanguage en
59 schema:isAccessibleForFree true
60 schema:isPartOf N0272b3678c5e4c2486cf15d18ad71099
61 Ndecc78db889f4341bd38450aec07781b
62 sg:journal.1052613
63 schema:name A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction–subdiffusion equation
64 schema:pagination 75
65 schema:productId Naec43f4eca5a41c4b5963c58bc5265cd
66 Ndddc92e465234d988b2602829e72bea2
67 Nea44a48fa7e541b3b35ffa82420ff7e7
68 schema:sameAs https://app.dimensions.ai/details/publication/pub.1112389860
69 https://doi.org/10.1186/s13662-019-2022-7
70 schema:sdDatePublished 2019-04-11T10:03
71 schema:sdLicense https://scigraph.springernature.com/explorer/license/
72 schema:sdPublisher N486df52aa9b9497591656ec5f440f831
73 schema:url https://link.springer.com/10.1186%2Fs13662-019-2022-7
74 sgo:license sg:explorer/license/
75 sgo:sdDataset articles
76 rdf:type schema:ScholarlyArticle
77 N0272b3678c5e4c2486cf15d18ad71099 schema:issueNumber 1
78 rdf:type schema:PublicationIssue
79 N486df52aa9b9497591656ec5f440f831 schema:name Springer Nature - SN SciGraph project
80 rdf:type schema:Organization
81 N5eb89ebdc2a94a6aa0c6517c92e7cf88 rdf:first Ne4dd2d24d88c4f709845fe9b9dc4c43f
82 rdf:rest rdf:nil
83 Na4e170802e094276b4abfad84a51295d rdf:first Nbafcf8f47f6c466eb51a35b13e8e5914
84 rdf:rest N5eb89ebdc2a94a6aa0c6517c92e7cf88
85 Naec43f4eca5a41c4b5963c58bc5265cd schema:name readcube_id
86 schema:value 33c7a927f790c39e17814b122d45ddc967dd20022e297478108888d4147eaabc
87 rdf:type schema:PropertyValue
88 Nbafcf8f47f6c466eb51a35b13e8e5914 schema:affiliation https://www.grid.ac/institutes/grid.411427.5
89 schema:familyName Xu
90 schema:givenName Xiaoyong
91 rdf:type schema:Person
92 Ndddc92e465234d988b2602829e72bea2 schema:name doi
93 schema:value 10.1186/s13662-019-2022-7
94 rdf:type schema:PropertyValue
95 Ndecc78db889f4341bd38450aec07781b schema:volumeNumber 2019
96 rdf:type schema:PublicationVolume
97 Ne4dd2d24d88c4f709845fe9b9dc4c43f schema:affiliation https://www.grid.ac/institutes/grid.411427.5
98 schema:familyName Xu
99 schema:givenName Da
100 rdf:type schema:Person
101 Nea44a48fa7e541b3b35ffa82420ff7e7 schema:name dimensions_id
102 schema:value pub.1112389860
103 rdf:type schema:PropertyValue
104 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
105 schema:name Mathematical Sciences
106 rdf:type schema:DefinedTerm
107 anzsrc-for:0103 schema:inDefinedTermSet anzsrc-for:
108 schema:name Numerical and Computational Mathematics
109 rdf:type schema:DefinedTerm
110 sg:journal.1052613 schema:issn 1687-1839
111 1687-1847
112 schema:name Advances in Difference Equations
113 rdf:type schema:Periodical
114 sg:pub.10.1007/s002110050067 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052866455
115 https://doi.org/10.1007/s002110050067
116 rdf:type schema:CreativeWork
117 sg:pub.10.1007/s00366-018-0584-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1100914459
118 https://doi.org/10.1007/s00366-018-0584-8
119 rdf:type schema:CreativeWork
120 sg:pub.10.1007/s10915-014-9956-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005914516
121 https://doi.org/10.1007/s10915-014-9956-4
122 rdf:type schema:CreativeWork
123 sg:pub.10.1007/s10915-018-0672-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1101079505
124 https://doi.org/10.1007/s10915-018-0672-3
125 rdf:type schema:CreativeWork
126 sg:pub.10.1007/s11071-016-2843-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026979679
127 https://doi.org/10.1007/s11071-016-2843-9
128 rdf:type schema:CreativeWork
129 sg:pub.10.1007/s11071-017-3525-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1084774931
130 https://doi.org/10.1007/s11071-017-3525-y
131 rdf:type schema:CreativeWork
132 sg:pub.10.1007/s11075-014-9877-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038067118
133 https://doi.org/10.1007/s11075-014-9877-1
134 rdf:type schema:CreativeWork
135 sg:pub.10.1007/s11075-015-0065-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043601484
136 https://doi.org/10.1007/s11075-015-0065-8
137 rdf:type schema:CreativeWork
138 sg:pub.10.1007/s11075-018-0509-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1101767820
139 https://doi.org/10.1007/s11075-018-0509-z
140 rdf:type schema:CreativeWork
141 sg:pub.10.1140/epjst/e2013-01977-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018897597
142 https://doi.org/10.1140/epjst/e2013-01977-9
143 rdf:type schema:CreativeWork
144 https://doi.org/10.1002/mma.3839 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011428368
145 rdf:type schema:CreativeWork
146 https://doi.org/10.1002/num.20460 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037023323
147 rdf:type schema:CreativeWork
148 https://doi.org/10.1016/b978-0-444-50616-0.50005-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041143377
149 rdf:type schema:CreativeWork
150 https://doi.org/10.1016/j.amc.2007.09.020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011963265
151 rdf:type schema:CreativeWork
152 https://doi.org/10.1016/j.amc.2016.08.028 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034961085
153 rdf:type schema:CreativeWork
154 https://doi.org/10.1016/j.apnum.2016.09.009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004834952
155 rdf:type schema:CreativeWork
156 https://doi.org/10.1016/j.cam.2004.01.033 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049718243
157 rdf:type schema:CreativeWork
158 https://doi.org/10.1016/j.cam.2011.01.011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000645117
159 rdf:type schema:CreativeWork
160 https://doi.org/10.1016/j.cam.2013.05.022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034259265
161 rdf:type schema:CreativeWork
162 https://doi.org/10.1016/j.cam.2014.11.020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008929656
163 rdf:type schema:CreativeWork
164 https://doi.org/10.1016/j.camwa.2009.07.006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026203030
165 rdf:type schema:CreativeWork
166 https://doi.org/10.1016/j.camwa.2015.09.011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012808909
167 rdf:type schema:CreativeWork
168 https://doi.org/10.1016/j.camwa.2016.08.015 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036072418
169 rdf:type schema:CreativeWork
170 https://doi.org/10.1016/j.camwa.2017.12.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1100085796
171 rdf:type schema:CreativeWork
172 https://doi.org/10.1016/j.jcp.2007.02.001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050068518
173 rdf:type schema:CreativeWork
174 https://doi.org/10.1016/j.jcp.2012.08.026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011869998
175 rdf:type schema:CreativeWork
176 https://doi.org/10.1016/j.jcp.2013.02.014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029335224
177 rdf:type schema:CreativeWork
178 https://doi.org/10.1016/j.jcp.2013.09.016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026992057
179 rdf:type schema:CreativeWork
180 https://doi.org/10.1016/j.jcp.2014.08.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051913822
181 rdf:type schema:CreativeWork
182 https://doi.org/10.1016/j.jcp.2014.10.051 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009252875
183 rdf:type schema:CreativeWork
184 https://doi.org/10.1016/j.jcp.2014.10.060 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035875342
185 rdf:type schema:CreativeWork
186 https://doi.org/10.1016/j.jcp.2016.10.006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007109960
187 rdf:type schema:CreativeWork
188 https://doi.org/10.1016/j.matcom.2017.03.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1084532752
189 rdf:type schema:CreativeWork
190 https://doi.org/10.1016/s0377-0427(00)00509-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013203580
191 rdf:type schema:CreativeWork
192 https://doi.org/10.1016/s0378-4371(99)00469-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014448139
193 rdf:type schema:CreativeWork
194 https://doi.org/10.1063/1.1587126 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004588810
195 rdf:type schema:CreativeWork
196 https://doi.org/10.1063/1.5043780 schema:sameAs https://app.dimensions.ai/details/publication/pub.1105573821
197 rdf:type schema:CreativeWork
198 https://doi.org/10.1080/00207160.2014.887702 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003798146
199 rdf:type schema:CreativeWork
200 https://doi.org/10.1080/00207160.2017.1324150 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085312886
201 rdf:type schema:CreativeWork
202 https://doi.org/10.1080/00207160.2018.1450502 schema:sameAs https://app.dimensions.ai/details/publication/pub.1101521951
203 rdf:type schema:CreativeWork
204 https://doi.org/10.1090/s0025-5718-2015-02917-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017050757
205 rdf:type schema:CreativeWork
206 https://doi.org/10.1093/imanum/drp024 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059689590
207 rdf:type schema:CreativeWork
208 https://doi.org/10.1137/0717050 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062852691
209 rdf:type schema:CreativeWork
210 https://doi.org/10.1137/0723020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062853158
211 rdf:type schema:CreativeWork
212 https://doi.org/10.1137/0728056 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062853646
213 rdf:type schema:CreativeWork
214 https://doi.org/10.1137/0733031 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062854082
215 rdf:type schema:CreativeWork
216 https://doi.org/10.1137/s0036142996302396 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062877365
217 rdf:type schema:CreativeWork
218 https://doi.org/10.1137/s003614450240506x schema:sameAs https://app.dimensions.ai/details/publication/pub.1062877784
219 rdf:type schema:CreativeWork
220 https://doi.org/10.1177/1077546314566835 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023458097
221 rdf:type schema:CreativeWork
222 https://doi.org/10.14419/ijamr.v3i4.3678 schema:sameAs https://app.dimensions.ai/details/publication/pub.1067301841
223 rdf:type schema:CreativeWork
224 https://www.grid.ac/institutes/grid.411427.5 schema:alternateName Hunan Normal University
225 schema:name College of Mathematics and Statistics, Hunan Normal University, Changsha, P.R. China
226 School of Science, East China University of Technology, Nanchang, P.R. China
227 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...