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

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.  

Keywords:

Homotopy Perturbation Method (HPM) , Singular Cauchy problem , Partial Differential Equations