A fractional model of Harry Dym equation and its approximate solution

Ain Shams Engineering Journal

Om P. Singh¹  Sunil Kumar²  Manoj P. Tripathi³ 

[1] Department of Applied Mathematics, Indian Institute of Technology, BHU, Varanasi, 221005, India;Department of Mathematics, National Institute of Technology, Jamshedpur, 831 014 Jharkhand, India;Udai Pratap Autonomous College, Varanasi, 221002, India;

关键词: Homotopy perturbation method;    Harry Dym equation;    Caputo derivative;    Approximate solution;   

DOI  :  10.1016/j.asej.2012.07.001

来源: DOAJ

【 摘 要 】

The aim of present paper is to obtain the approximate analytical solution of time fractional Harry Dym equation by using homotopy perturbation method (HPM). The beauty of the paper is error analysis which shows that our approximate solution converges very rapidly to the exact solution and the numerical solution is compared with the known analytical solution which is nearly identical with the exact solution. The results show that the solution of HPM is good agreement with the exact solution. The fractional derivatives are described in the Caputo sense. The results reveal that the method is very effective and simple.

【 授权许可】

Unknown