New Method for Solving Systems of Two-Dimensional Non-linear Volterra Integro-Differential Equations
Mostafa Eslami* Author for corresponding; e-mail address: mostafa.eslami@um.ac.ir; meslami.edu@gmail.com
Volume: Vol.44 No.4 (October 2017)
Research Article
DOI:
Received: 1 August 2013, Revised: -, Accepted: 3 January 2017, Published: -
Citation: Eslami M., New Method for Solving Systems of Two-Dimensional Non-linear Volterra Integro-Differential Equations, Chiang Mai Journal of Science, 2017; 44(4): 1751-1760.
Abstract
In this paper two methods, Homotopy Perturbation Method (HPM) and a new modified Homotopy Perturbation Method (NHPM) for the solution of non-linear systems of two-dimensional Volterra integro-differential equations are compared. Comparison between the solutions and the exact solution shows that the NHPM is more effective and accurate for solving systems of two-dimensional Volterra integro-differential equations.