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: Inc, Mustafa, Akgul, Ali, Kilicman, Adem
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30125/1/A%20novel%20method%20for%20solving%20KdV%20equation%20based%20on%20reproducing%20kernel%20hilbert%20space%20method.pdf