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He-Laplace Method for Linear and Nonlinear Partial Differential Equations

Author

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  • Hradyesh Kumar Mishra
  • Atulya K. Nagar

Abstract

A new treatment for homotopy perturbation method is introduced. The new treatment is called He-Laplace method which is the coupling of the Laplace transform and the homotopy perturbation method using He’s polynomials. The nonlinear terms can be easily handled by the use of He’s polynomials. The method is implemented on linear and nonlinear partial differential equations. It is found that the proposed scheme provides the solution without any discretization or restrictive assumptions and avoids the round-off errors.

Suggested Citation

  • Hradyesh Kumar Mishra & Atulya K. Nagar, 2012. "He-Laplace Method for Linear and Nonlinear Partial Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-16, July.
    • Handle: RePEc:hin:jnljam:180315
    DOI: 10.1155/2012/180315
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    Cited by:

    1. Ghaleb, A.F. & Abou-Dina, M.S. & Moatimid, G.M. & Zekry, M.H., 2021. "Analytic approximate solutions of the cubic–quintic Duffing–van​ der Pol equation with two-external periodic forcing terms: Stability analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 129-151.

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