A priori estimates and analysis of a numerical method for a turning point problem

Authors:
Alan E. Berger, Hou De Han and R. Bruce Kellogg

Journal:
Math. Comp. **42** (1984), 465-492

MSC:
Primary 65L10; Secondary 34E20

DOI:
https://doi.org/10.1090/S0025-5718-1984-0736447-2

MathSciNet review:
736447

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Abstract | References | Similar Articles | Additional Information

Abstract: Bounds are obtained for the derivatives of the solution of a turning point problem. These results suggest a modification of the El-Mistikawy Werle finite difference scheme at the turning point. A uniform error estimate is obtained for the resulting method, and illustrative numerical results are given.

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DOI:
https://doi.org/10.1090/S0025-5718-1984-0736447-2

Article copyright:
© Copyright 1984
American Mathematical Society