Legendre wavelets method for numerical solution of time fractional heat equation

In this paper, we develop an efficient Legendre wavelets collocation method for well known time fractional heat equation. Inthe proposed method, we apply operational matrix of fractionalintegration to obtain numerical solution of the inhomogeneoustime fractional heat equation with lateral heat loss and Dirichletboundary conditions. The power of this manageable method isconfirmed. Moreover, the use of Legendre wavelets is found tobe accurate, simple and fast.