Elzaki Substitution Method with Adomian Polynomials for Solving Initial Value Problems of nth Order Non-linear Mixed Type Partial Differential Equations.

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Mousumi Datta, Md. Babul Hossain, Umme Habibac

Abstract

A method entitled the Elzaki Substitution Method (ESM) will be generalized in this article , an overview of the ESM for nth-order  non-linear partial differential equations (NPDEs) involving the following three types of mixed derivatives:  (where  and  are positive integers such that ) will be included. ESM technique often includes Adomian polynomial for non-linear terms to find exact solutions of non-linear homogeneous and non-homogeneous higher-order initial value problems containing mixed partial derivatives. Illustrative examples are presented in order to demonstrate the utility and applicability of the proposed procedure.

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