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2013 Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method
Mustafa Inc, Ali Akgül, Adem Kılıçman
Abstr. Appl. Anal. 2013(SI50): 1-13 (2013). DOI: 10.1155/2013/768963

Abstract

We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel theory. Its exact solution is represented in the form of a series in reproducing kernel Hilbert space. Some numerical examples are given in order to demonstrate the accuracy of this method. The results obtained from this method are compared with the exact solutions and other methods. Results of numerical examples show that this method is simple, effective, and easy to use.

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Mustafa Inc. Ali Akgül. Adem Kılıçman. "Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method." Abstr. Appl. Anal. 2013 (SI50) 1 - 13, 2013. https://doi.org/10.1155/2013/768963

Information

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

zbMATH: 07095346
MathSciNet: MR3096813
Digital Object Identifier: 10.1155/2013/768963

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI50 • 2013
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