Heydari, M., Maalek Ghaini, F., Hooshmandasl, M. (2014). Legendre wavelets method for numerical solution of time-fractional heat equation. Wavelet and Linear Algebra, 1(1), 19-31.

M. H. Heydari; F. M. Maalek Ghaini; M. R. Hooshmandasl. "Legendre wavelets method for numerical solution of time-fractional heat equation". Wavelet and Linear Algebra, 1, 1, 2014, 19-31.

Heydari, M., Maalek Ghaini, F., Hooshmandasl, M. (2014). 'Legendre wavelets method for numerical solution of time-fractional heat equation', Wavelet and Linear Algebra, 1(1), pp. 19-31.

Heydari, M., Maalek Ghaini, F., Hooshmandasl, M. Legendre wavelets method for numerical solution of time-fractional heat equation. Wavelet and Linear Algebra, 2014; 1(1): 19-31.

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

^{}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.

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