Journal ArticleOPEN ACCESS

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

  • Berger A
  • Han H
  • Kellogg R
Mathematics of Computation (1984) 42(166) 465-492
DOI: 10.1090/s0025-5718-1984-0736447-2
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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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Berger, A. E., Han, H. D., & Kellogg, R. B. (1984). A priori estimates and analysis of a numerical method for a turning point problem. Mathematics of Computation, 42(166), 465–492. https://doi.org/10.1090/s0025-5718-1984-0736447-2

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