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http://localhost:8080/xmlui/handle/123456789/1728| Title: | Method of reduction of order for solving singularly perturbed two-point boundary value problems |
| Authors: | Reddy, Y.N Pramod Chakravarthy, P. |
| Keywords: | Ordinary differential equations Singular perturbations Boundary value problems Initial value methods |
| Issue Date: | Mar-2003 |
| Publisher: | Applied Mathematics and Computation |
| Citation: | 10.1016/S0096-3003(02)00015-2 |
| Abstract: | In this paper, a method of reduction of order is proposed for solving singularly perturbed two-point boundary value problems with a boundary layer at one end point. It is distinguished by the following fact: the original singularly perturbed boundary value problem is replaced by a pair of initial value problems. Classical fourth order Runge–Kutta method is used to solve these initial value problems. Several linear and non-linear singular perturbation problems have been solved and the numerical results are presented to support the theory. |
| Description: | NITW |
| URI: | http://localhost:8080/xmlui/handle/123456789/1728 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Method of reduction of order for solving singularly perturbed two-point boundary value problems.pdf | 119.72 kB | Adobe PDF | View/Open |
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