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High-order compact schemes for second-order ordinary differential equations with singular coefficients

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Abstract

Homogeneous three-point finite-difference schemes of arbitrary order of accuracy for a second-order Dirichlet problem with generalized coefficients and generalized right-hand side are constructed and validated. Bibliography: 8 titles.

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Authors
  1. L. D. Grekov
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  2. V. M. Krasnikov
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Additional information

Translated fromObchyslyuval’na ta Prykladna Matematyka, No. 77, 1993, pp. 55–60.

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Grekov, L.D., Krasnikov, V.M. High-order compact schemes for second-order ordinary differential equations with singular coefficients. J Math Sci 77, 3433–3436 (1995). https://doi.org/10.1007/BF02367990

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  • DOI: https://doi.org/10.1007/BF02367990

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