Homotopy Perturbation Transform Method for Extensible Beam Equations

Khaled A. Ishag; Faris Azhari Okasha

doi:10.52981/fjes.v8i1.14

Khaled A. Ishag Omdurman Islamic University
Faris Azhari Okasha Omdurman Islamic University

DOI: https://doi.org/10.52981/fjes.v8i1.14

Keywords: partial differential equations, homotopy perturbation method, Laplace's Transforms, MATLAB programming

Abstract

In this paper, we apply analytical method (homotopy perturbation transformmethod), for solving extensible beam, we discuss certain initial- boundary value problems for the nonlinear equation. This equation wasproposed by Woiniwsky- Krieger as a model for transverse deflection of an extensible beam of natural length whose ends are held a fixed distance apart.

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Khaled A. Ishag, O. M. El Mekki and Emadeldeen A. Abdalrahim, Homotopy Perturbation method for Solving Transverse Vibrations of a Beam, Sudan Journal for Basic Sciences (SJBS),M 2019, 15: 1-11.

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