University of Tabriz Computational Methods for Differential Equations 2345-3982 9 3 2021 07 01 Numerical analysis of fractional differential equation by TSI-wavelet method 659 669 10385 10.22034/cmde.2020.29679.1429 EN Farhad Shariffar Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran. Amir Hossein Refahi Sheikhani Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran. Mohammad Mashoof Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran. Journal Article 2018 10 07 In this paper, we propose a new numerical algorithm for the approximate solution of non-homogeneous fractional differential equation. Using this algorithm the fractional differential equations are transformed into a system of algebraic linear equations by operational matrices of block-pulse and hybrid functions. Based on our new algorithm, this system of algebraic linear equations can be solved by a proposed (TSI) method. Further, some numerical examples are given to illustrate and establish the accuracy and reliability of the proposed algorithm. fractional differential equation Block-pulse wavelet Hybrid function Operational matrices Two stage iterative method https://cmde.tabrizu.ac.ir/article_10385_dfa31644a29622f65563f1aad887c291.pdf