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.
Numerical solutionInitial value problemRunge-Kutta-NystromOrders 7(5)NUMEROV-TYPE METHODSHYBRID 4-STEP METHODSSYMBOLIC DERIVATIONEXPLICIT
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Elsevier
