A semi-analytical collocation method for solving multi-term variable-order time fractional partial differential equations
Numerical Analysis
2020-07-21 v1 Numerical Analysis
Abstract
This paper presents a novel semi-analytical collocation method to solve multi-term variable-order time fractional partial differential equations (VOTFPDEs). In the proposed method it employs the Fourier series expansion for spatial discretization, which transforms the original multi-term VOTFPDEs into a sequence of multi-term variable-order time fractional ordinary differential equations (VOTFODEs). Then these VOTFODEs can be solved by using the recent-developed backward substitution method. Several numerical examples verify the accuracy and efficiency of the proposed numerical approach in the solution of multi-term VOTFPDEs.
Cite
@article{arxiv.2007.09535,
title = {A semi-analytical collocation method for solving multi-term variable-order time fractional partial differential equations},
author = {Xia Tian and S. Yu. Reutskiy and Zhuo-Jia Fu},
journal= {arXiv preprint arXiv:2007.09535},
year = {2020}
}