Title : ( Numerical Solution of Two-Dimensional Volterra Integral Equations by Spectral Galerkin Method )
Authors: Jafar Saberi- Nadjafi , Omid Navid Samadi , emran tohidi ,
Full TextAbstract
In this paper, we present ultra spherical spectral discontinuous Galerkin method for solving the two-dimensional volterra integral equation (VIE) of the second kind. The Gauss-Legendre quadrature rule is used to ap- proximate the integral operator and the inner product based on the ultra spherical weights is implemented in the weak formulation. Illustrative examples are provided to demonstrate the preciseness and effectiveness of the proposed technique. Moreover, a comparison is made with another numerical approach that is proposed recently for solving two-dimensional VIEs.
Keywords
, two-dimensional integral equations, spectral discontinuous Galerkin, ultraspherical polynomials
@article{paperid:1024805,
author = {Saberi- Nadjafi, Jafar and Navid Samadi, Omid and Tohidi, Emran},
title = {Numerical Solution of Two-Dimensional Volterra Integral Equations by Spectral Galerkin Method},
journal = {Journal of Applied Mathematics and Bioinformatics},
year = {2011},
volume = {1},
number = {2},
month = {November},
issn = {1792-6602},
pages = {159--174},
numpages = {15},
keywords = {two-dimensional integral equations; spectral discontinuous Galerkin;ultraspherical polynomials},
}
%0 Journal Article
%T Numerical Solution of Two-Dimensional Volterra Integral Equations by Spectral Galerkin Method
%A Saberi- Nadjafi, Jafar
%A Navid Samadi, Omid
%A Tohidi, Emran
%J Journal of Applied Mathematics and Bioinformatics
%@ 1792-6602
%D 2011
