TY - JOUR
T1 - Numerical Solution of Two-dimensional Nonlinear Volterra Integro-differential Equations by Tau Method
AU - Y. Ordokhani and F. Samari
JO - Journal of Information and Computing Science
VL - 2
SP - 101
EP - 110
PY - 2024
DA - 2024/01
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22518.html
KW - Two dimensional, Linear, Nonlinear, Volterra integro-differential equation, Tau  method . 

AB - In this paper, a method is employed to approximate the solution of  two-dimensional nonlinear 
Volterra integro-differential equations (2DNVIDEs) with supplementary conditions. First, we introduce two-
dimensional Legendre polynomials, then convert 2DNVIDEs to the two-dimensional linear Volterra integro-
differential  equations (2DLVIDEs). Using this properties and collocation points, reduce it to the system of 
algebraic equations. Finally, some numerical examples are given to clarify the efficiency and accuracy of the 
present method.