Semianalytic numerical studies of turning points arising in stiff boundary value problems

Authors:
W. L. Miranker and J. P. Morreeuw

Journal:
Math. Comp. **28** (1974), 1017-1034

MSC:
Primary 65L10

DOI:
https://doi.org/10.1090/S0025-5718-1974-0381329-5

MathSciNet review:
0381329

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Abstract: A numerical algorithm for solving stiff boundary value problems with turning points is presented. The stiff systems are characterized as singularly perturbed differential equations. The numerical method is derived by appropriately discretizing the boundary layer and connection theory for such systems. Numerical results demonstrate the effectiveness of the method. In many cases the calculation proceeds with mesh increments which are orders of magnitude larger than those used by other known methods.

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DOI:
https://doi.org/10.1090/S0025-5718-1974-0381329-5

Article copyright:
© Copyright 1974
American Mathematical Society