Title : ( Cubic B-splines collocation method for solving a partial integrodifferential equation with a weakly singular kernel )
Authors: mohammad gholamian , Jafar Saberi- Nadjafi , Ali Reza Soheili ,
Full TextAbstract
In this paper, we apply a numerical scheme for the solution of a second order partial integro-differential equation with a weakly singular kernel. In the time direction, the backward Euler method time-stepping is used to approximate the differential term and the cubic B-splines is applied to the space discretization. Detailed discrete schemes, the convergence and the stability of the method is demonstrated. Next, the computational efficiency and accuracy of the method are examined by the numerical results.
Keywords
, 65L05, 34K06, 34K28
@article{paperid:1075010,
author = {Gholamian, Mohammad and Saberi- Nadjafi, Jafar and Soheili, Ali Reza},
title = {Cubic B-splines collocation method for solving a partial integrodifferential equation with a weakly singular kernel},
journal = {Computational Methods for Differential Equations},
year = {2019},
volume = {7},
number = {3},
month = {July},
issn = {2345-3982},
pages = {497--510},
numpages = {13},
keywords = {65L05; 34K06; 34K28},
}
%0 Journal Article
%T Cubic B-splines collocation method for solving a partial integrodifferential equation with a weakly singular kernel
%A Gholamian, Mohammad
%A Saberi- Nadjafi, Jafar
%A Soheili, Ali Reza
%J Computational Methods for Differential Equations
%@ 2345-3982
%D 2019
