Title : ( A method based on the meshless approach for the numerical solution of the singularly perturbed differential-difference equation arising in the modeling of neuronal variability )
Authors: Fahimeh Akhavan Ghassabzade , Jafar Saberi- Nadjafi , Ali Reza Soheili ,
Full TextAbstract
In this paper, an efficient procedure based on the multiquadric radial basis functions (RBFs) collocation method is applied for the numerical solution of the singularly perturbed differential difference (SPDDE) equation. The method is coupled with the Residual subsampling algorithm for support adaptivity. The problem considered in this paper shows turning point behavior which is added to the complexity in the construction of numerical approximation to the solution of the problem. The proposed algorithm is very simple to perform. Some numerical examples are given to validate the computational efficacy of the suggested numerical scheme.
Keywords
, differential-difference equation, neuronal variability, multiquadric collocation method, radial basis function.
@article{paperid:1088544,
author = {Fahimeh Akhavan Ghassabzade and Saberi- Nadjafi, Jafar and Soheili, Ali Reza},
title = {A method based on the meshless approach for the numerical solution of the singularly perturbed differential-difference equation arising in the modeling of neuronal variability},
journal = {Caspian Journal of Mathematical Sciences},
year = {2021},
volume = {10},
number = {2},
month = {December},
issn = {2676-7260},
pages = {210--223},
numpages = {13},
keywords = {differential-difference equation; neuronal variability; multiquadric collocation method; radial basis function.},
}
%0 Journal Article
%T A method based on the meshless approach for the numerical solution of the singularly perturbed differential-difference equation arising in the modeling of neuronal variability
%A Fahimeh Akhavan Ghassabzade
%A Saberi- Nadjafi, Jafar
%A Soheili, Ali Reza
%J Caspian Journal of Mathematical Sciences
%@ 2676-7260
%D 2021
