An Approached Solution of Wave Equation with Cubic Damping by Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian Decomposition Method (ADM)

Moussa Bagayogo, Youssouf Pare and Youssouf Minoungou

Journal of Mathematics Research, 2018, vol. 10, issue 2, 166-181

Abstract: In this study, we consider the wave equation with cubic damping with its initial conditions. Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian decomposition Method (ADM) are applied to this equation. Then, the solution yielding the given initial conditions is gained. Finally, the solutions obtained by each method are compared.

Keywords: Wave equation; cubic damping; Homotopy Perturbation Method (HPM); Regular Pertubation Method (RPM); Adomian decomposition Method (ADM) (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:10:y:2018:i:2:p:166

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