Document Type : Research Paper

**Authors**

Department of Mathematics, Faculty of Mathematics, Yazd University, Yazd, Islamic Republic of Iran

**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.

**Keywords**

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Pages 19-31