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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Communicated by S. M. Roberts
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Kadalbajoo, M.K., Reddy, Y.N. Initial-value technique for a class of nonlinear singular perturbation problems. J Optim Theory Appl 53, 395–406 (1987). https://doi.org/10.1007/BF00938946
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DOI: https://doi.org/10.1007/BF00938946