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Modified Runge-Kutta Verner methods for the numerical solution of initial and boundary-value problems with engineering applications
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机译：Modified Runge-Kutta Verner methods for the numerical solution of initial and boundary-value problems with engineering applications
Two new modified Runge-Kutta methods with minimal phase-lag are developed for the numerical solution of Ordinary Differential Equations with engineering applications. These methods are based on the well-known Runge-Kutta method of Verner RK6(5)9b (see J.H. Verner, some Runge-Kutta formula pairs, SIAM J. Numer. Anal 28 (1991) 496-511) of order six. Numerical and theoretical results in some problems of the plate deflection theory show that this new approach is more efficient compared with the well-known classical sixth order Runge-Kutta Verner method. (C) 1998 Elsevier Science Inc. All rights reserved. References: 36
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