Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6930087 | Journal of Computational Physics | 2016 | 29 Pages |
Abstract
In this article, finite difference methods with non-uniform meshes for solving nonlinear fractional differential equations are presented, where the non-equidistant stepsize is non-decreasing. The rectangle formula and trapezoid formula are proposed based on the non-uniform meshes. Combining the above two methods, we then establish the predictor-corrector scheme. The error and stability analysis are carefully investigated. At last, numerical examples are carried out to verify the theoretical analysis. Besides, the comparisons between non-uniform and uniform meshes are given, where the non-uniform meshes show the better performance when dealing with the less smooth problems.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Changpin Li, Qian Yi, An Chen,