Solving a nonlinear Singular Cauchy Problem of Euler- Poisson-Darboux Equation through Homotopy Perturbation Method

Document Type : Research Paper


Department of Electrical Engineering, Shomal University, Amol, Iran, P. O. Box 753 and Department of Electrical Engineering, South Dakota State University, Brookings, USA


In this paper, we have applied He’s homotopy perturbation method (HPM) to solve a nonlinear Singular Cauchy Problem of Euler-Poisson-Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter in the solution of Singular Cauchy Problem. The results are compared with those obtained HPM and exact solutions. The results homotopy perturbation method (HPM) are of high concentration and the method is very effective and succinct.  


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Volume 03, Issue 02
June 2019
Pages 29-34
  • Receive Date: 26 March 2018
  • Revise Date: 26 April 2018
  • Accept Date: 26 May 2019
  • First Publish Date: 01 June 2019