A semi-analytical method for solving a class of non-homogeneous time-fractional partial differential equations Online publication date: Wed, 15-Sep-2021
by Jianke Zhang; Luyang Yin
International Journal of Computing Science and Mathematics (IJCSM), Vol. 13, No. 4, 2021
Abstract: In this paper, a new kind of hybrid method is established to get the analytical approximate solutions for a class of non-homogeneous time-fractional partial differential equations. This hybrid method is with respect to the fourier series and the Chelyshkov polynomials. Firstly, the Fourier series is presented to transform the time-fractional partial differential equations to the time-fractional ordinary differential equations. Secondly, the operational matrix based on Chelyshkov polynomials is proposed to attain the analytical approximate solutions with the polynomial least squares method. The fractional derivatives are in Caputo sense. Several numerical examples are given in this paper, whose results are shown in the form of graphs and data. The results show that this hybrid method is effective to solve this class of non-homogeneous time-fractional partial differential equations.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Computing Science and Mathematics (IJCSM):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook