Telescoping Decomposition Method for Solving Parabolic-Hyperbolic Nonlinear Partial Differential Equations

Clement Elkana¹ , Manjak N.H² , Kwami A.M³

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.3 , pp.103-108, Jun-2024

Online published on Jun 30, 2024

Copyright © Clement Elkana, Manjak N.H, Kwami A.M . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The aim of this paper is to study the Telescoping Decomposition Method to solve Parabolic-Hyperbolic nonlinear partial differential equations in one dimension. The Telescoping Decomposition Method (TDM) is a new iterative method to obtain numerical and analytical solutions for first order and second order non-linear differential equations. It is a modified form of the well-known Adomian Decomposition Method (ADM).

Key-Words / Index Term :
Telescoping Decomposition Method,Adomian Decomposition Method,Adomian Polynomial, Parabolic-Hyperbolic equations, on-linear equations and Differential operators.

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