Abstract
In this paper, an adaptive step-size nonlinear explicit integration algorithm for solving ordinary differential equations is present. The algorithm is based on a new high order nonlinear explicit integration scheme. The order of convergence and stability properties are investigated and shown to be of fifth-order and large stability region. Several test problems are solved and the numerical results are presented. The results confirm that the algorithm is effective and appropriate for solving stiff and singularly perturbed ordinary differential equations.
| Original language | English |
|---|---|
| Pages (from-to) | 3151-3155 |
| Number of pages | 5 |
| Journal | International Journal of Engineering Research and Technology |
| Volume | 12 |
| Issue number | 12 |
| State | Published - 2019 |
Keywords
- Adaptive techniques
- Nonlinear schemes
- Numerical integration
- Stiff and singularly perturbed ODEs