Diyala Journal for Pure Science
Scientific Refereed Journal Published By College of Science - University of Diyala
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Diyala Journal For Pure Sciences DJPS
ISRA Impact Factor:3.715
P- ISSN:2222-8373, E-ISSN:2518-9255
Volume 14, Issue 2 , April . 2018
Solving a Class of High Order Non-linear Partial Differential Systems Using Adomian Decomposition Method
Ahmed Farooq Qasim , Mohammed Azeez Hilal
Year: 2018, Volume: 14, Issue: 2
Pages: 76-93 , DOI: http://dx.doi.org/10.24237/djps.1402.378B
In this paper, Adomian Decomposition Method with Adomain Polynomials are proposed to solve a class of high-order non-linear partial differential systems. The method is applied to non-linear fifth-order Mikhailov-Novikov-Wang and sixth-order Coupled Ramani Systems. This method provides an accurate and efficient technique in comparison with other classical methods, the solutions procedure are very simple and in few iteration leads to high accurate solutions. The numerical results indicated that the obtained approximate solutions were in suitable agreement with the exact solutions.
Keywords: Adomian Decomposition Method, Mikhailov-Novikov-Wang system, Coupled Ramani System.