Journal of Computational and Applied Mathematics
An explicit sixth-order method with phase-lag of order eight for y″=f(t,y)
Journal of Computational and Applied Mathematics
Diagonally implicit Runge-Kutta-Nystro¨m methods for oscillatory problems
SIAM Journal on Numerical Analysis
Journal of Computational and Applied Mathematics
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
An explicit hybrid method of Numerov type for second-order periodic initial-value problems
Journal of Computational and Applied Mathematics
Explicit high order methods for the numerical integration of periodic initial-value problems
Applied Mathematics and Computation
An embedded 5(4) pair of explicit hybrid methods for solving oscillatory problems
ACC'11/MMACTEE'11 Proceedings of the 13th IASME/WSEAS international conference on Mathematical Methods and Computational Techniques in Electrical Engineering conference on Applied Computing
Hi-index | 7.30 |
A class of explicit two-step hybrid methods for the numerical solution of second-order IVPs is presented. These methods require a reduced number of stages per step in comparison with other hybrid methods proposed in the scientific literature. New explicit hybrid methods which reach up to order five and six with only three and four stages per step, respectively, and which have optimized the error constants, are constructed. The numerical experiments carried out show the efficiency of our explicit hybrid methods when they are compared with classical Runge-Kutta-Nystrom methods and other explicit hybrid codes proposed in the scientific literature.