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Volume 6, Issue 2
Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

M. H. Heydari, M. R. Hooshmandasl & F. Mohammadi

Adv. Appl. Math. Mech., 6 (2014), pp. 247-260.

Published online: 2014-06

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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

Telegraph equation, Legendre wavelets, fractional calculus, Caputo derivative.

  • AMS Subject Headings

65T60, 26A33

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-6-247, author = {M. H. and Heydari and and 20008 and and M. H. Heydari and M. R. and Hooshmandasl and and 20009 and and M. R. Hooshmandasl and F. and Mohammadi and and 20010 and and F. Mohammadi}, title = {Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {2}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m12132}, url = {http://global-sci.org/intro/article_detail/aamm/17.html} }
TY - JOUR T1 - Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation AU - Heydari , M. H. AU - Hooshmandasl , M. R. AU - Mohammadi , F. JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 247 EP - 260 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.12-m12132 UR - https://global-sci.org/intro/article_detail/aamm/17.html KW - Telegraph equation, Legendre wavelets, fractional calculus, Caputo derivative. AB -

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.

M. H. Heydari, M. R. Hooshmandasl & F. Mohammadi. (1970). Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation. Advances in Applied Mathematics and Mechanics. 6 (2). 247-260. doi:10.4208/aamm.12-m12132
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