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A new homotopy perturbation method for solving systems of partial differential equations
Authors:Jafar Biazar  Mostafa Eslami
Affiliation:
  • a Department of Mathematics, Faculty of Sciences, Islamic Azad University, Rasht Branch, Guilan, Iran
  • b Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
  • c Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
  • Abstract:In this paper, a new homotopy perturbation method (NHPM) is introduced for obtaining solutions of systems of non-linear partial differential equations. Theoretical considerations are discussed. To illustrate the capability and reliability of the method three examples are provided. Comparison of the results of applying NHPM with those of applying HPM reveal the effectiveness and convenience of the new technique.
    Keywords:System of partial differential equations   New homotopy perturbation method
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