Initial-value technique for a class of nonlinear singular perturbation problems |
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| Authors: | M K Kadalbajoo Y N Reddy |
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| Institution: | (1) Department of Mathematics, Indian Institute of Technology, Kanpur, India |
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| Abstract: | An initial-value technique, which is simple to use and easy to implement, is presented for a class of nonlinear, singularly perturbed two-point boundary-value problems with a boundary layer on the left end of the underlying interval. 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. Numerical experience with several examples is described. |
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| Keywords: | Singular perturbations nonlinear ordinary differential equations two-point boundary-value problems boundary layers initial-value techniques |
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