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Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

Published online by Cambridge University Press:  03 June 2015

M. H. Heydari ,
M. R. Hooshmandasl  and
F. Mohammadi
M. H. Heydari*
Affiliation:
Faculty of Mathematics, Yazd University, Yazd, Iran
M. R. Hooshmandasl*
Affiliation:
Faculty of Mathematics, Yazd University, Yazd, Iran
F. Mohammadi*
Affiliation:
Department of Mathematics, Faculty of Sciences, Hormozgan University, Bandarabbas, Iran
*
Email: heydari@stu.yazd.ac.ir
Email: hooshmandasl@yazd.ac.ir
Corresponding author. Email: f.mohammadi62@hotmail.com
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Abstract

In this paper, we develop an accurate and efficient Legendre wavelets method for numerical solution of the well known time-fractional telegraph equation. In the proposed method we have employed both of the operational matrices of fractional integration and differentiation to get numerical solution of the time-telegraph equation. The power of this manageable method is confirmed. Moreover the use of Legendre wavelet is found to be accurate, simple and fast.

Keywords

65T6026A33Telegraph equationLegendre waveletsfractional calculusCaputo derivative
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 2 , April 2014 , pp. 247 - 260
Copyright
Copyright © Global-Science Press 2014

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