An optimized two-step hybrid block method for solving general second order initial-value problems

Author:

Ramos Higinio,Kalogiratou Z.,Monovasilis Th.,Simos T. E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference22 articles.

1. Anake, T.A.: Continuous implicit hybrid one-step methods for the solution of initial value problems of general second-order ordinary differential equations, Ph. D. Thesis. Covenant University, Nigeria (2011)

2. Awoyemi, D.O., Adebile, E.A., Adesanya, A.O., Anake, T.A.: Modified Block Method for the Direct Solution of Second Order Ordinary Differential Equation. Int. J. Appl. Math. Comput. 3(3), 181–188 (2011)

3. Brugnano, L., Trigiante, D.: Solving Differential Problems by Multistep Initial and Boundary Value Methods. Gordon and Breach Science Publishers, Amsterdam (1998)

4. Chawla, M.M., Sharma, S.R.: Families of three-stage third order Runge-Kutta-Nystrom methods for y ′′ = f ( x , y , y ′ ) $y^{\prime \prime } = f(x, y, y^{\prime })$ . J. Aust. Math. Soc. 26, 375–386 (1985)

5. Fatunla, S.O.: Block methods for second order odes. Int. J. Comput. Math 41, 55–63 (1991)

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