Author(s)

Sharaf Mohmoud¹, Mohamed Gubara²

¹Department of Mathematics, College of Science, Omdurman Islamic University, Khartoum, Sudan.
²Department of Mathematics, College of Science, AL-Neelain University, Khartoum, Sudan.

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.

Reduced Differential Transform Method, Goursat Problem, Adomian Decomposition Method (ADM), Variational Iteration Method (VIM)

Mohmoud, S. and Gubara, M. (2016) Reduced Differential Transform Method for Solving Linear and Nonlinear Goursat Problem. Applied Mathematics, 7, 1049-1056. doi: 10.4236/am.2016.710092.