Abstract
In this paper, a new A-stable explicit one-step integration method is developed for numerically solving stiff differential systems which characterize several kinds of linear reactions and diffusion from biochemistry, physiology, etc. The method is based on deriving a nonlinear relation between the dependent variable and its derivatives from the well known Taylor expansion. The method can be classified as a rational method. The accuracy and stability properties of the method are investigated and shown to yield at least fourth-order and A-stable. Some differential systems arising in chemical reactions will be solved to illustrate the performance and accuracy of the method.
| Original language | English |
|---|---|
| Pages (from-to) | 803-812 |
| Number of pages | 10 |
| Journal | International Journal of Pure and Applied Mathematics |
| Volume | 81 |
| Issue number | 6 |
| State | Published - 2012 |
Keywords
- Explicit methods
- Initial-value problems
- Stiff problems