Abstract
In this paper, a numerical solution of singularly perturbed BVPs (SPBVPs) using an optimal fitted one-step integration scheme via initial value method is present. The original second order SPBVP is replaced by an asymptotically approximate first order initial value singularly perturbed problem (IVSPP) and solved using an optimal fitted one-step integration scheme. The error analysis is present. Some SPBVPs are solved and the numerical results confirm that the suggested method is accurate and efficient in solving the considered problems.
| Original language | English |
|---|---|
| Pages (from-to) | 995-1001 |
| Number of pages | 7 |
| Journal | International Journal of Engineering Research and Technology |
| Volume | 13 |
| Issue number | 5 |
| State | Published - 2020 |
Keywords
- Exponentially fitted finite difference schemes
- Initial value methods
- Singularly perturbed BVPs
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