A DIAGONALLY IMPLICIT RUNGE-KUTTA-NYSTROM (RKN) METHOD FOR SOLVING SECOND ORDER ODES ON PARALLEL COMPUTERS

Authors

Keywords:

ordinary differential equations, initial value problems, Runge-Kutta-Nystrom method, parallel method, oscillatory problems, analytical solution

Abstract

In this paper, diagonally implicit Runge-Kutta-Nystrom (RKN) method of high-order for the numerical solution of second order ordinary differential equations (ODE) possessing oscillatory solutions to be used on parallel computers is constructed. The method has the properties of minimized local truncation error coefficients as well as possessing non-empty interval of periodicity, thus suitable for oscillatory problems. The method was tested with standard test problems from the literature and numerical results compared with the analytical solution to show the advantage of the algorithm

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Reference

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Published

29-09-2020

How to Cite

A DIAGONALLY IMPLICIT RUNGE-KUTTA-NYSTROM (RKN) METHOD FOR SOLVING SECOND ORDER ODES ON PARALLEL COMPUTERS. (2020). FUDMA JOURNAL OF SCIENCES, 4(3), 513-522. https://doi.org/10.33003/fjs-2020-0403-371

Issue

Vol. 4 No. 3 (2020): FUDMA Journal of Sciences - Vol. 4 No. 3

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

A DIAGONALLY IMPLICIT RUNGE-KUTTA-NYSTROM (RKN) METHOD FOR SOLVING SECOND ORDER ODES ON PARALLEL COMPUTERS. (2020). FUDMA JOURNAL OF SCIENCES, 4(3), 513-522. https://doi.org/10.33003/fjs-2020-0403-371

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