Article citationsMore>>

Evans, D.J. and Sanugi, B.B. (1988) Numerical Solution of the Goursat Problem by a Nonlinear Trapezoidal Formula. Applied Mathematics Letters, 1, 221-223.
http://dx.doi.org/10.1016/0893-9659(88)90080-8

has been cited by the following article:

• 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.