2007-01-01
Mikusiński operators
mathematical model
character
continuous functions
approximate solution
chapters
equations
233-242
solid body
problem
corresponding problem
function solutions
2007-01-01
conditions
starting problem
On the solution of a mathematical model of a viscoelastic bar
regularity
en
bar
operators
https://doi.org/10.1007/978-1-4020-5678-9_20
type equation
boundary conditions
field
algorithm
chapter
applications
viscoelastic bar
model
false
shock
function
2022-05-10T10:48
hyperbolic-type equations
solution
finite sum
similar problems
https://scigraph.springernature.com/explorer/license/
calculus
example
A hyperbolic type equation with certain initial and boundary conditions, appropriate for application of the Mikusiński calculus, is considered. Similar problems appeared as mathematical models of the shock between a solid body and a viscoelastic bar.The exact solution of the corresponding problem in the field of Mikusiński operators is constructed, and the character and regularity of the operational function solution of the problem is analyzed. Then the solution of the starting problem is obtained as a finite sum of continuous functions. An algorithm for constructing an approximate solution is given, and an example is presented.
sum
exact solution
body
Mathematical Methods in Engineering
978-1-4020-5677-2
978-1-4020-5678-9
Springer Nature - SN SciGraph project
Takači
Djurdjica
Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, 21000, Novi Sad, Serbia
Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, 21000, Novi Sad, Serbia
dimensions_id
pub.1035397904
Arpad
Takači
Applied Mathematics
Springer Nature
J. A.
Tenreiro Machado
Baleanu
D.
doi
10.1007/978-1-4020-5678-9_20
K.
Taş
Mathematical Sciences