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Details van artikel 2 van 7 gevonden artikelen
| Titel: |
An Initial-Value Technique for Singularly Perturbed Boundary Value Problems via Cubic Spline |
| Auteur: |
Kumar, Manoj Singh, P. Mishra, Hradyesh Kumar |
| Verschenen in: |
International journal for computational methods in engineering science and mechanics |
| Paginering: | Jaargang 8 (2007) nr. 6 pagina's 419-427 |
| Jaar: |
2007-11 |
| Inhoud: |
A new way to solve singular perturbation problems is introduced. It is designed for the practicing engineer or applied mathematician who needs a practical tool for these problems (easy to use, modest problem preparation and ready computer implementation). In this paper, we consider singularly perturbed two-point boundary value problems with the boundary layer at one end (left or right) point. An initial-value technique is used for its solution. However, this technique is based on the boundary layer behavior of the solution. It is distinguished by the following fact: The original second order problem is replaced by an asymptotically equivalent first-order problem and is solved as an initial-value problem via cubic spline. Numerical experience with several linear and non-linear examples is described. It is observed that the present method approximates the exact solution very well. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 2 van 7 gevonden artikelen
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