ON SINGULAR PERTURBATION PROBLEMS WITH INTERIOR NONUNIFORMITIES.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Certain boundary value problems of the form epsilon y double prime fx,y,y, epsilon, 0 or x or 1 y0 alphaepsilon, y1 betaepsilon have solutions whose derivatives exhibit nonuniform convergence within 0,1 as epsilon approaches 0. A method for constructing asymptotic solutions to such problems is presented. The work is related to previous investigations by Haber and Levinson and Vasileva. Author
- Numerical Mathematics