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

Author

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  • Moussa BAGAYOGO
  • Youssouf PARE
  • Youssouf MINOUNGOU

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.

Suggested Citation

  • Moussa BAGAYOGO & Youssouf PARE & Youssouf MINOUNGOU, 2018. "An Approached Solution of Wave Equation with Cubic Damping by Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian Decomposition Method (ADM)," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(2), pages 166-181, April.
  • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:2:p:166
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    Cited by:

    1. Bakari ABBO & BAGAYOGO Moussa & MINOUNGOU Youssouf & Youssouf PARE, 2021. "Comparative Numerical Study of SBA (Somé Blaise-Abbo) Method and Homotopy Perturbation Method (HPM) on Biomathematical Models Type Lotka-Volterra," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(3), pages 1-22, June.

    More about this item

    Keywords

    Wave equation; cubic damping; Homotopy Perturbation Method (HPM); Regular Pertubation Method (RPM); Adomian decomposition Method (ADM);
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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