Solving a Class of High Order Non-linear Partial Differential Systems Using Adomian Decomposition Method | Zendy

Ahmed Farooq | Zendy; Mohammed F. Abdul Azeez | Zendy

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Solving a Class of High Order Non-linear Partial Differential Systems Using Adomian Decomposition Method

Author(s) -

Ahmed Farooq,

Mohammed F. Abdul Azeez

Publication year - 2018

Publication title -

diyala journal for pure science

Language(s) - English

Resource type - Journals

eISSN - 2518-9255

pISSN - 2222-8373

DOI - 10.24237/djps.1402.378b

Subject(s) - adomian decomposition method , class (philosophy) , decomposition , order (exchange) , mathematics , decomposition method (queueing theory) , differential (mechanical device) , partial differential equation , mathematical analysis , computer science , physics , economics , artificial intelligence , statistics , thermodynamics , chemistry , organic chemistry , finance

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 nonlinear 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.

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