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Elzaki Substitution Method with Adomian Polynomials for Solving Initial Value Problems of nth Order Non-linear Mixed Type Partial Differential Equations.
2022
Journal:  
Turkish Journal of Computer and Mathematics Education
Author:  
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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2022
Journal:  
Turkish Journal of Computer and Mathematics Education
Author:  
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Turkish Journal of Computer and Mathematics Education

Journal Type :   Uluslararası

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Article : 1.706
Cite : 103
2023 Impact : 0.071
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Turkish Journal of Computer and Mathematics Education