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On the two-step high order of accuracy difference schemes for second order differential equations. (English) Zbl 1069.65090

Ladde, G.S.(ed.) et al., Dynamic systems and applications. Volume 4. Proceedings of the 4th international conference, Morehouse College, Atlanta, GA, USA, May 21–24, 2003. Atlanta, GA: Dynamic Publishers (ISBN 1-890888-00-1/hbk). 528-534 (2004).
Summary: Two-step difference schemes of high order of accuracy for the numerical solution of an initial-value problem and a boundary value problem for second-order differential equations are presented.
For the entire collection see [Zbl 1054.34001].

MSC:

65L12 Finite difference and finite volume methods for ordinary differential equations
34A30 Linear ordinary differential equations and systems
34B05 Linear boundary value problems for ordinary differential equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
65L10 Numerical solution of boundary value problems involving ordinary differential equations