High-order accurate three-point difference schemes for systems of second-order ordinary differential equations with a monotone operator

Computational Mathematics and Mathematical Physics

Volumn 42, Issue 5, 2002, Pages 724-738

  Kutniv, Myroslav V ^a  

^a LVIV POLYTECHNIC NATIONAL UNIVERSITY   (Ukraine)

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EID: 33746479155     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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. Kutniv, M.V., Accurate Three-Point Difference Schemes for Second-Order Monotone Ordinary Differential Equations and Their Implementation, Zh. Vychisl. Mat. Mat. Fiz., 2000, vol. 40, no. 3, pp. 387-401.
4. Kufner, A. and Fucik, S., Nonlinear Differential Equations, Amsterdam: Elsevier, 1980.
5. Translated under the title Nelineinye differentsial'nye uravneniya, Moscow: Nauka, 1988.
6. Samarskii, A.A., Lazarov, R.D., and Makarov, V.L., Raznostnye skhemy dlya differentsial'nykh uravnenii s obobshchennymi resheniyami (Finite Difference Schemes for Differential Equations with Weak Solutions), Moscow: Nauka, 1987.
7. Trenogin, V.A., Funktsional'nyi analiz (Functional Analysis), Moscow: Nauka, 1980.
8. Samarskii, A.A. and Nikolaev, B.S., Metody resheniya setochnykh uravnenii (Solution Methods for Grid Equations), Moscow: Nauka, 1978.
9. Makarov, V.L. and Guminskii, V.V., A High-Order Accurate Three-Point Difference Scheme for a System of Second-Order Ordinary Differential Equations (the Non-Self-Adjoint Case), Differ. Uravn., 1994, vol. 30, no. 3, pp. 493-502.