Title of article :
Numerical analysis of fractional differential equation by TSI-wavelet method
Author/Authors :
Shariffar, Farhad Department of Applied Mathematics - Faculty of Mathematical Sciences - Lahijan Branch - Islamic Azad University - Lahijan, Iran , Refahi Sheikhani, Amir Hossein Department of Applied Mathematics - Faculty of Mathematical Sciences - Lahijan Branch - Islamic Azad University - Lahijan, Iran , Mashoof, Mohammad Department of Applied Mathematics - Faculty of Mathematical Sciences - Lahijan Branch - Islamic Azad University - Lahijan, Iran
Abstract :
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.
Keywords :
Fractional differential equation , Block-pulse wavelet , Hybrid function , Operational matrices , Two stage iterative method
Journal title :
Computational Methods for Differential Equations
