Accurate three-point difference schemes for second-order monotone ordinary differential equations and their implementation

Computational Mathematics and Mathematical Physics

Volumn 40, Issue 3, 2000, Pages 368-382

  Kutniv, Myroslav V ^a  

^a LVIV POLYTECHNIC NATIONAL UNIVERSITY   (Ukraine)

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[No Author keywords available]

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EID: 33746951547     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Makarov, V.L. and Samarskii, A.A., Accurate Three-Point Difference Schemes for Second-Order Nonlinear Ordinary Differential Equations and Their Implementation, Dokl. Akad. Nauk SSSR, 1990, vol. 312, no. 4, pp. 795-800.
2. Kutniv, M.V., Makarov, V.L., and Samarskii, A.A., Accurate Three-Point Difference Schemes for Second-Order Nonlinear Ordinary Differential Equations and Their Implementation, Zh. Vychisl. Mat. Mat. Fiz., 1999, vol. 39, no. 1, pp. 45-60.
3. Kufner, A. and Fucik, S., Nonlinear Differential Equations, Amsterdam: Elsevier, 1980. Translated under the title Nelineinye differentsial'nye uravneniya, Moscow: Nauka, 1988.
4. Samarskii, A.A., Lazarov, R.D., and Makarov, V.L., Raznostnye skhemy dlya differentsial'nykh uravnenii s obobshchennymi resheniyami (Difference Schemes for Differential Equations with Generalized Solutions), Moscow: Nauka, 1987.
5. Trenogin, V.A., Funktsional'nyi analiz (Functional Analysis), Moscow: Nauka, 1980.
6. Samarskii, A.A. and Nikolaev, E.S., Metody resheniya setochnykh uravnenii (Methods for Solving Grid Equations), Moscow: Nauka, 1978.
7. Makarov, V.L. and Samarskii, A.A., On the Implementation of Accurate Three-Point Difference Schemes for Second-Order Ordinary Differential Equations with Piecewise Smooth Coefficients, Dokl. Akad. Nauk SSSR, 1990, vol. 312, no. 3, pp. 538-543.
8. Samarskii, A.A. and Makarov, V.L., On the Implementation of Accurate Three-Point Difference Schemes for Second-Order Ordinary Differential Equations with Piecewise Smooth Coefficients, Differ. Uravn., 1990, vol. 26, no. 7, pp. 1254-1265.