A new family of Explicit Runge-Kutta-Nystrom pair of orders seven and five is studied here. Its main advantage is that it spends only six stages per step. This is a remarkable improvement since only pairs of orders 6(4) were attained at this cost until now. We present a particular pair with minimal truncation error coefficients. Numerical results show the superiority of our proposal over a set of relevant problems. (C) 2021 Elsevier B.V. All rights reserved.
Key words
Numerical solution/Initial value problem/Runge-Kutta-Nystrom/Orders 7(5)/NUMEROV-TYPE METHODS/HYBRID 4-STEP METHODS/SYMBOLIC DERIVATION/EXPLICIT
NSTL
Elsevier