An efficient approach to approximate analytical solutions of second-order nonlinear telegraph equations

Che Haziqah Che Hussin and Arif Mandangan and Abdul Rahman Farhan Sabdin and Shahzad Sarwar (2025) An efficient approach to approximate analytical solutions of second-order nonlinear telegraph equations. Warisan Journal of Mathematical Sciences and Engineering, 1. pp. 1-11. ISSN 3093-6896

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Abstract

We propose the Multistep Modified Reduced Differential Transform Method (MMRDTM) as a novel approach to solving Nonlinear Telegraph Equations (NLTEs). To streamline the process, we replace the nonlinear terms within NLTEs with corresponding Adomian polynomials before implementing the multistep technique. This substitution simplifies the solution process and enables more precise approximations over longer time domains. To validate the MMRDTM's efficacy and accuracy, we solve two different NLTE problems, showcasing the method's capability for analytical approximation. The resulting outcomes are then presented both in tabular and graphical formats. The findings confirm that MMRDTM delivers highly accurate, and in some cases, exact solutions for the studied equations.

Item Type:	Article
Keyword:	Adomian polynomials, multistep approach, Reduced Differential Transform Method, nonlinear telegraph equations
Subjects:	Q Science > QC Physics > QC1-999 Physics > QC350-467 Optics. Light T Technology > T Technology (General) > T1-995 Technology (General) > T351-385 Mechanical drawing. Engineering graphics
Department:	CENTRE > Preparation Centre for Science and Technology
Depositing User:	JUNAINE JASNI -
Date Deposited:	21 Oct 2025 12:13
Last Modified:	21 Oct 2025 12:13
URI:	https://eprints.ums.edu.my/id/eprint/45488

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