Trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for second-order oscillatory differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.03.006
Abstract: Abstract A new family of modified two-derivative Runge-Kutta-Nystrom (TDRKN) methods are proposed for solving initial value problems of second-order oscillatory ordinary differential equations. Order conditions are obtained via the Nystrom tree theory and the B-series… read more here.
Keywords: runge kutta; derivative runge; order oscillatory; order ... See more keywords
On the Simulations of Second-Order Oscillatory Problems with Applications to Physical Systems
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.2139/ssrn.4183287
Abstract: Second-order oscillatory problems have been found to be applicable in studying various phenomena in science and engineering; this is because these problems have the capabilities of replicating different aspects of the real world. In this… read more here.
Keywords: oscillatory problems; order oscillatory; second order; method ... See more keywords