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A novel method for solving KdV equation based on reproducing kernel hilbert space method


Citation

Inc, Mustafa and Akgul, Ali and Kilicman, Adem (2013) A novel method for solving KdV equation based on reproducing kernel hilbert space method. Abstract and Applied Analysis, 2013. art. no. 578942. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409

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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Official URL or Download Paper: http://www.hindawi.com/journals/aaa/2013/578942/

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2013/578942
Publisher: Hindawi Publishing Corporation
Keywords: KdV equation; Reproducing hilbert kernel method.
Depositing User: Umikalthom Abdullah
Date Deposited: 02 Jul 2014 00:00
Last Modified: 22 Sep 2015 03:50
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/578942
URI: http://psasir.upm.edu.my/id/eprint/30125
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