Application of The Homotopy Method to Solve The KdV (Kortewegde Vries) Equation

Penggunaan Metode Homotopi untuk Menyelesaikan Persamaan KdV (Korteweg-de Vries)

dc.contributor.advisor	Jaharuddin
dc.contributor.advisor	Kusnanto, Ali
dc.contributor.author	Febrina, Verawaty
dc.date.accessioned	2013-04-11T06:48:44Z
dc.date.available	2013-04-11T06:48:44Z
dc.date.issued	2010
dc.identifier.uri	http://repository.ipb.ac.id/handle/123456789/62159
dc.description.abstract	Natural phenomena can be explained using nonlinear mathematical models. In this paper, we studied the solution of KdV equation using the Homotopy method. The KdV equation is used for describing both surface and internal waves. One of the solutions is called a solitary wave. The use of homotopy method to solve the KdV equation required a nonlinear operator which was determined by the nonlinear form of the KdV equation itself. Based on this operator, a recursive formula was obtained to get a sequence of the KdV solution. The higher the sequence order of the sequence used, the closer to the exact solution of the KdV equation.	en
dc.subject	KdV equation	en
dc.subject	Homotopy Method	en
dc.subject	Solitary Wave	en
dc.title	Application of The Homotopy Method to Solve The KdV (Kortewegde Vries) Equation	en
dc.title	Penggunaan Metode Homotopi untuk Menyelesaikan Persamaan KdV (Korteweg-de Vries)