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

Berger, Alan E.; Han, Hou De; Kellogg, R. Bruce

doi:10.1090/S0025-5718-1984-0736447-2

A priori estimates and analysis of a numerical method for a turning point problem
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by Alan E. Berger, Hou De Han and R. Bruce Kellogg PDF

Math. Comp. 42 (1984), 465-492 Request permission

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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