Author = M. H. Heydari

Legendre wavelets method for numerical solution of time-fractional heat equation

Volume 1, Issue 1, August 2014, Pages 19-31

M. H. Heydari, F. M. Maalek Ghaini, M. R. Hooshmandasl

Abstract In this paper, we develop an efficient Legendre wavelets collocation method for well known time-fractional heat equation. In the proposed method, we apply operational matrix of fractional integration to obtain numerical solution of the inhomogeneous time-fractional heat equation with lateral heat loss and Dirichlet boundary conditions. The power of this manageable method is confirmed. Moreover, the use of Legendre wavelets is found to be accurate, simple and fast.