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 - <p style="text-align: justify;">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.</p>