Three-point difference schemes of high accuracy order for systems of nonlinear ordinary differential equations of the second order

Computational Mathematics and Mathematical Physics

Volumn 41, Issue 6, 2001, Pages 860-873

  Kutniv, Myroslav V ^a  

^a LVIV POLYTECHNIC NATIONAL UNIVERSITY   (Ukraine)

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EID: 33746943338     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Makarov, V.L., Makarov, I.L., and Prikazchikov, V.G., Exact Difference Schemes and Schemes of an Arbitrary Order of Accuracy for Systems of Second-order Ordinary Differential Equations, Differ. Uravn., 1979, vol. 15, no. 7, pp. 1194-1205.
2. Makarov, V.L. and Guminskii, V.V., An Exact Difference Scheme of the Second-order Accuracy for Systems of Second-order Ordinary Differential Equations (Nonself-Adjoint Case), Differ. Uravn., 1994, vol. 30, no. 3, pp. 493-502.
3. Makarov, V.L. and Samarskii, A.A., Exact Three-point Difference Schemes for Nonlinear Second-order Ordinary Differential Equations and Their Implementation, Dokl. Akad. Nauk SSSR, 1990, vol. 312, no. 4, pp. 795-800.
4. Kutniv, M.V., Makarov, V.L., and Samarskii, A.A., Exact Three-point Difference Schemes for Nonlinear Second-order Ordinary Differential Equations and Their Implementation, Zh. Vychisl. Mat. Mat. Fiz., 1999, vol. 39, no. 1, pp. 45-60.
5. Kufner, A. and Fuchik, S., Nelineinye differentsial'nye uravneniya (Nonlinear Differential Equations), Moscow: Nauka, 1988.
6. Samarskii, A.A., Vvedenie v teoriyu raznostnykh skhem (Introduction into the Theory of Difference Schemes), Moscow: Nauka, 1971.
7. Samarskii, A.A., Lazarov, R.D., and Makarov, V.L., Raznostnye skhemy dlya differentsial'nykh uravnenii s obobshchennymi resheinyami (Difference Schemes for Differential Equations with Distribution Solutions), Moscow: Nauka, 1987.