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

Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation
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Year:    2014

Author:    M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 2 : pp. 247–260

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.12-m12132

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 2 : pp. 247–260

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Telegraph equation Legendre wavelets fractional calculus Caputo derivative.

Author Details

M. H. Heydari

M. R. Hooshmandasl

F. Mohammadi

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