Exponentially-fitted and trigonometrically-fitted implicit RKN methods for solving $$y''=f(t,y)$$
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01575-0
Abstract: The second-order ordinary differential equation (ODE) often emerges from applied science, such as orbital mechanics, quantum mechanics, physical chemistry, electronics. As we all know, Runge-Kutta-Nystrom (RKN) method is indispensable when solving the second-order ODE. In… read more here.
Keywords: exponentially fitted; implicit rkn; fitted trigonometrically; trigonometrically fitted ... See more keywords
Exponentially Fitted and Trigonometrically Fitted Two-Derivative Runge-Kutta-Nyström Methods for Solving
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DOI: 10.1155/2018/7689854
Abstract: Two exponentially fitted and trigonometrically fitted explicit two-derivative Runge-Kutta-Nystrom (TDRKN) methods are being constructed. Exponentially fitted and trigonometrically fitted TDRKN methods have the favorable feature that they integrate exactly second-order systems whose solutions are linear… read more here.
Keywords: exponentially fitted; fitted trigonometrically; trigonometrically fitted; derivative runge ... See more keywords