Open Access
2013 A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
Mustafa Inc, Ali Akgül, Adem Kiliçman
Abstr. Appl. Anal. 2013(SI08): 1-11 (2013). DOI: 10.1155/2013/578942

Abstract

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 accuracy of the present method. Results of numerical examples show that the presented method is effective.

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Mustafa Inc. Ali Akgül. Adem Kiliçman. "A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method." Abstr. Appl. Anal. 2013 (SI08) 1 - 11, 2013. https://doi.org/10.1155/2013/578942

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1266.65178
MathSciNet: MR3034984
Digital Object Identifier: 10.1155/2013/578942

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI08 • 2013
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