A linear finite difference scheme for generalized time fractional Burgers equation
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › Not applicable › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 6069-6081 |
| Journal / Publication | Applied Mathematical Modelling |
| Volume | 40 |
| Issue number | 11-12 |
| Online published | 3 Feb 2016 |
| Publication status | Published - Jun 2016 |
Link(s)
Abstract
This paper is concerned with the numerical solutions of the generalized time fractional burgers equation. We propose a linear implicit finite difference scheme for solving the equation. Iterative methods become dispensable. As a result, the computational cost can be significantly reduced compare to the usual implicit finite difference schemes. Meanwhile, the finite difference method is proved to be unconditional globally stable and convergent. Numerical examples are shown to demonstrate the accuracy and stability of the method.
Research Area(s)
- Convergence, Finite difference method, Generalized time fractional Burgers equation, Stability
Citation Format(s)
A linear finite difference scheme for generalized time fractional Burgers equation. / Li, Dongfang; Zhang, Chengjian; Ran, Maohua.
In: Applied Mathematical Modelling, Vol. 40, No. 11-12, 06.2016, p. 6069-6081.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › Not applicable › peer-review
