University of TabrizComputational Methods for Differential Equations2345-39829320210701Numerical analysis of fractional differential equation by TSI-wavelet method6596691038510.22034/cmde.2020.29679.1429ENFarhadShariffarDepartment of Applied Mathematics,
Faculty of Mathematical Sciences,
Lahijan Branch, Islamic Azad University, Lahijan, Iran.Amir HosseinRefahi SheikhaniDepartment of Applied Mathematics,
Faculty of Mathematical Sciences,
Lahijan Branch, Islamic Azad University, Lahijan, Iran.0000-0003-1664-5471MohammadMashoofDepartment of Applied Mathematics,
Faculty of Mathematical Sciences,
Lahijan Branch, Islamic Azad University, Lahijan, Iran.Journal Article20181007In 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.https://cmde.tabrizu.ac.ir/article_10385_dfa31644a29622f65563f1aad887c291.pdf