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Non‐Equidistant Generalizations of the Gushchin‐Shchennikov Scheme
Author(s) -
Vulanović R.
Publication year - 1987
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19870671212
Subject(s) - equidistant , mathematics , scheme (mathematics) , consistency (knowledge bases) , boundary (topology) , stability (learning theory) , boundary value problem , mathematical analysis , geometry , computer science , machine learning
The numerical solution of singularly perturbed boundary value problems with turning points is considered. Some modifications and non‐equidistant generalizations of the Gushchin‐Shchennikov finite‐difference scheme are introduced. Both, the stability and the second order consistency are proved. Numerical examples are given.