Generalized OCI schemes for boundary layer problems

Authors:
Alan E. Berger, Jay M. Solomon, Melvyn Ciment, Stephen H. Leventhal and Bernard C. Weinberg

Journal:
Math. Comp. **35** (1980), 695-731

MSC:
Primary 65L10; Secondary 65M10

DOI:
https://doi.org/10.1090/S0025-5718-1980-0572850-8

MathSciNet review:
572850

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Abstract | References | Similar Articles | Additional Information

Abstract: A family of tridiagonal formally fourth-order difference schemes is developed for a class of singular perturbation problems. These schemes have no cell Reynolds number limitation and satisfy a discrete maximum principle. Error estimates and numerical results for this family of methods are given, and are compared with those for several other schemes.

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DOI:
https://doi.org/10.1090/S0025-5718-1980-0572850-8

Article copyright:
© Copyright 1980
American Mathematical Society