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

Joint Authors

Inc, Mustafa
Akgül, Ali
Kiliçman, Adem

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-02-21

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Inc, Mustafa& Akgül, Ali& Kiliçman, Adem. 2013. A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-482269

Modern Language Association (MLA)

Inc, Mustafa…[et al.]. A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-482269

American Medical Association (AMA)

Inc, Mustafa& Akgül, Ali& Kiliçman, Adem. A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-482269

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-482269