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. Heydari, M. R. Hooshmandasl 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 - M. H. Heydari, M. R. Hooshmandasl & F. Mohammadi 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 KW - Legendre wavelets KW - fractional calculus KW - 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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