A fractional model of Harry Dym equation and its approximate solution

Kumar, S.; Tripathi, M.P.; Singh, O.P.

dc.contributor.author	Kumar, S.
dc.contributor.author	Tripathi, M.P.
dc.contributor.author	Singh, O.P.
dc.date.accessioned	2021-10-07T06:32:36Z
dc.date.available	2021-10-07T06:32:36Z
dc.date.issued	2013-03
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1765
dc.description.abstract	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.	en_US
dc.description.sponsorship	Ain Shams Engineering Journal	en_US
dc.language.iso	en	en_US
dc.publisher	Ain Shams University	en_US
dc.relation.ispartofseries	Issue 1;Volume 4
dc.subject	Approximate solution;	en_US
dc.subject	Caputo derivative;	en_US
dc.subject	Harry Dym equation;	en_US
dc.subject	Homotopy perturbation method	en_US
dc.title	A fractional model of Harry Dym equation and its approximate solution	en_US
dc.type	Article	en_US