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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2013 Malaysia English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,013, pages 1-11 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Inc, Mustafa; Akgul, Ali; Kilicman, Adem;

doi: 10.1155/2013/578942

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

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.

Country
Malaysia
Related Organizations
Keywords

QA1-939, Mathematics

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 18
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Average
Top 10%
Top 10%
gold