A nonasymptotic method for general linear singular perturbation problems. (English) Zbl 0618.65066
The nonasymptotic method developed by the authors [A nonasymptotic method for singular perturbation problems, ibid. (to appear)] is extended for solving general linear singularly perturbed two-point boundary-value problems. First, we discuss problems with a right-hand boundary layer. Second, 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.
MSC:
65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
34B05 | Linear boundary value problems for ordinary differential equations |
34E15 | Singular perturbations for ordinary differential equations |
Keywords:
nonasymptotic method; linear singularly perturbed two-point boundary- value problems; boundary layer; interior layerReferences:
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