TITLE:
Reduced Differential Transform Method for Solving Linear and Nonlinear Goursat Problem
AUTHORS:
Sharaf Mohmoud, Mohamed Gubara
KEYWORDS:
Reduced Differential Transform Method, Goursat Problem, Adomian Decomposition Method (ADM), Variational Iteration Method (VIM)
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.10,
June
15,
2016
ABSTRACT: In this paper a new method for solving
Goursat problem is introduced using Reduced Differential Transform Method
(RDTM). The approximate analytical solution of the problem is calculated in the
form of series with easily computable components. The comparison of the
methodology presented in this paper with some other well known techniques
demonstrates the effectiveness and power of the newly proposed methodology.