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.