Analytical Solution of the Klein---Gordon Equation by a New Homotopy Perturbation Method

  • Authors:
  • Mostafa Eslami;Jafar Biazar

  • Affiliations:
  • Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran;Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

  • Venue:
  • Computational Mathematics and Modeling
  • Year:
  • 2014

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Abstract

The Klein-Gordon equation is used to model many nonlinear phenomena. In this paper, an analytic solution of the Klein---Gordon equation is obtained by using a new modification of the homotopy perturbation method (NHPM). Theoretical considerations are discussed. The results reveal that the method is explicit, effective, and easy to use.