Vali-e-Asr university of Rafsanjan Wavelet and Linear Algebra 2383-1936 1 1 2014 08 01 Legendre wavelets method for numerical solution of time-fractional heat equation 19 31 6348 EN M. H. Heydari Department of Mathematics, Faculty of Mathematics, Yazd University, Yazd, Islamic Republic of Iran F. M. Maalek Ghaini Department of Mathematics, Faculty of Mathematics, Yazd University, Yazd, Islamic Republic of Iran M. R. Hooshmandasl Department of Mathematics, Faculty of Mathematics, Yazd University, Yazd, Islamic Republic of Iran Journal Article 2014 07 01 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.

https://wala.vru.ac.ir/article_6348_1fe46a07a9ba5f05129cab882582d907.pdf