Embedded diagonally implicit Runge–Kutta–Nystrom 4(3) pair for solving special second-order IVPs

Author:

Al-Khasawneh Raed Ali,Ismail Fudziah,Suleiman Mohamed

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference16 articles.

1. Families of Runge– Kutta–Nystrom formulae;Dormand;IMA Journal of Numerical Analysis,1987

2. A note on a diagonally implicit Runge–Kutta–Nystrom method;Sommeijer;Journal of Computational and Applied Mathematics,1987

3. A new non-FSAL embedded Runge–Kutta–Nystrom algorithm of orders 6 and 4 in six stages;El-Mikkawy;Applied Mathematics and Computation,2003

4. A P-stable singly diagonally implicit Runge–Kutta Nystrom method;Papageorgiou;Numerical Algorithm,1998

5. A new Runge–Kutta Nystrom formula pairs of order 8(7), 9(8), 10(9) and 11(10) for differential equations of the form y″=f(x,y);Filippi;Journal of Computational and Applied Mathematics,1986

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