%0 Journal Article
%T Numerical analysis of fractional differential equation by TSI-wavelet method
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Shariffar, Farhad
%A Refahi Sheikhani, Amir Hossein
%A Mashoof, Mohammad
%D 2021
%\ 07/01/2021
%V 9
%N 3
%P 659-669
%! Numerical analysis of fractional differential equation by TSI-wavelet method
%K fractional differential equation
%K Block-pulse wavelet
%K Hybrid function
%K Operational matrices
%K Two stage iterative method
%R 10.22034/cmde.2020.29679.1429
%X 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.
%U https://cmde.tabrizu.ac.ir/article_10385_dfa31644a29622f65563f1aad887c291.pdf