Ontology type: schema:ScholarlyArticle
2021-11-03
AUTHORSJumana H. S. Alkhalissi, Ibrahim Emiroglu, Mustafa Bayram, Aydin Secer, Fatih Tasci
ABSTRACTThis article develops a method based on the generalized Gegenbauer–Humbert wavelets in concert with their operational matrices of fractional integration to deal with the fractional partial differential equations and find the approximate solutions of it. The goal is to show that the proposed method is appropriate for boundary and initial-boundary problems even though it is generalized form. The convergence of the method under study is investigated. The numerical results gained by the proposed method are considered and compared with other methods, to establish the effectiveness and accuracy. More... »
PAGES1-12
http://scigraph.springernature.com/pub.10.1007/s00366-021-01532-2
DOIhttp://dx.doi.org/10.1007/s00366-021-01532-2
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1142387717
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/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
},
{
"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"
}
],
"author": [
{
"affiliation": {
"alternateName": "Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey",
"id": "http://www.grid.ac/institutes/grid.38575.3c",
"name": [
"Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey"
],
"type": "Organization"
},
"familyName": "Alkhalissi",
"givenName": "Jumana H. S.",
"id": "sg:person.010456143003.40",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010456143003.40"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey",
"id": "http://www.grid.ac/institutes/grid.38575.3c",
"name": [
"Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey"
],
"type": "Organization"
},
"familyName": "Emiroglu",
"givenName": "Ibrahim",
"id": "sg:person.012762464217.38",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012762464217.38"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Computer Engineering, Biruni University, Istanbul, Turkey",
"id": "http://www.grid.ac/institutes/grid.488405.5",
"name": [
"Department of Computer Engineering, Biruni University, Istanbul, Turkey"
],
"type": "Organization"
},
"familyName": "Bayram",
"givenName": "Mustafa",
"id": "sg:person.012077030243.23",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012077030243.23"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey",
"id": "http://www.grid.ac/institutes/grid.38575.3c",
"name": [
"Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey"
],
"type": "Organization"
},
"familyName": "Secer",
"givenName": "Aydin",
"id": "sg:person.015265711011.29",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015265711011.29"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey",
"id": "http://www.grid.ac/institutes/grid.38575.3c",
"name": [
"Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey"
],
"type": "Organization"
},
"familyName": "Tasci",
"givenName": "Fatih",
"id": "sg:person.014677623347.03",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014677623347.03"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1007/s00366-020-01221-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1134283657",
"https://doi.org/10.1007/s00366-020-01221-6"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-7091-2664-6_7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1010203972",
"https://doi.org/10.1007/978-3-7091-2664-6_7"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s10231-003-0085-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023381125",
"https://doi.org/10.1007/s10231-003-0085-1"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s00366-020-01139-z",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1130093304",
"https://doi.org/10.1007/s00366-020-01139-z"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s13398-019-00720-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1119790914",
"https://doi.org/10.1007/s13398-019-00720-6"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s40010-018-0538-y",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1107245299",
"https://doi.org/10.1007/s40010-018-0538-y"
],
"type": "CreativeWork"
}
],
"datePublished": "2021-11-03",
"datePublishedReg": "2021-11-03",
"description": "This article develops a method based on the generalized Gegenbauer\u2013Humbert wavelets in concert with their operational matrices of fractional integration to deal with the fractional partial differential equations and find the approximate solutions of it. The goal is to show that the proposed method is appropriate for boundary and initial-boundary problems even though it is generalized form. The convergence of the method under study is investigated. The numerical results gained by the proposed method are considered and compared with other methods, to establish the effectiveness and accuracy.",
"genre": "article",
"id": "sg:pub.10.1007/s00366-021-01532-2",
"inLanguage": "en",
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1041785",
"issn": [
"0177-0667",
"1435-5663"
],
"name": "Engineering with Computers",
"publisher": "Springer Nature",
"type": "Periodical"
}
],
"keywords": [
"fractional partial differential equations",
"partial differential equations",
"differential equations",
"initial-boundary problem",
"operational matrix",
"approximate solution",
"fractional integration",
"numerical results",
"equations",
"convergence",
"wavelets",
"problem",
"solution",
"matrix",
"accuracy",
"effectiveness",
"form",
"results",
"integration",
"goal",
"article",
"study",
"concert",
"method"
],
"name": "Generalized Gegenbauer\u2013Humbert wavelets for solving fractional partial differential equations",
"pagination": "1-12",
"productId": [
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1142387717"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/s00366-021-01532-2"
]
}
],
"sameAs": [
"https://doi.org/10.1007/s00366-021-01532-2",
"https://app.dimensions.ai/details/publication/pub.1142387717"
],
"sdDataset": "articles",
"sdDatePublished": "2022-05-20T07:39",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-springernature-scigraph/baseset/20220519/entities/gbq_results/article/article_908.jsonl",
"type": "ScholarlyArticle",
"url": "https://doi.org/10.1007/s00366-021-01532-2"
}
]Download the RDF metadata as: json-ld nt turtle xml License info
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.10.1007/s00366-021-01532-2'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s00366-021-01532-2'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00366-021-01532-2'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00366-021-01532-2'
This table displays all metadata directly associated to this object as RDF triples.
131 TRIPLES
22 PREDICATES
52 URIs
38 LITERALS
4 BLANK NODES