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On the Coupling of the Homotopy Perturbation Method and New Integral Transform for Solving Systems of Partial Differential Equations

Author

Listed:
  • E. E. Eladdad
  • E. A. Tarif

Abstract

In the current work, a combination between a new integral transform and the homotopy perturbation method is presented. This combination allows to obtain analytic and numerical solutions for linear and nonlinear systems of partial differential equations.

Suggested Citation

  • E. E. Eladdad & E. A. Tarif, 2019. "On the Coupling of the Homotopy Perturbation Method and New Integral Transform for Solving Systems of Partial Differential Equations," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
  • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:5658309
    DOI: 10.1155/2019/5658309
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    References listed on IDEAS

    as
    1. Fethi Bin Muhammed Belgacem & Ahmed Abdullatif Karaballi, 2006. "Sumudu transform fundamental properties investigations and applications," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-23, May.
    2. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
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