A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method

We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space. Some numerical examples have also been studied to demonstrate the accura...

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Bibliographic Details
Main Authors: Mustafa Inc, Ali Akgül, Adem Kiliçman
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/578942