Abstract
The nonasymptotic method developed in Ref. 1 has been extended for solving general linear singularly perturbed two-point boundary-value problems. Firstly, we discuss problems with a right-hand boundary layer. Secondly, we discuss problems with an interior layer. Finally, we discuss problems with two boundary layers. Numerical experience with the method for some model problems is also reported to confirm the theoretical analysis.
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References
Kadalbajoo, M. K., andReddy, Y. N.,A Nonasymptotic Method for Singular Perturbation Problems, Journal of Optimization Theory and Applications, Vol. 55, pp. 73–84, 1987.
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Communicated by S. M. Roberts
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Kadalbajoo, M.K., Reddy, Y.N. A nonasymptotic method for general linear singular perturbation problems. J Optim Theory Appl 55, 257–269 (1987). https://doi.org/10.1007/BF00939084
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DOI: https://doi.org/10.1007/BF00939084