Título
A Phase- and Amplification-Fitted 5(4) Diagonally Implicit Runge–Kutta–Nyström Pair for Oscillatory Systems.
Autor(es)
Palabras clave
Phase-fitted and amplification-fitted approach
Diagonally implicit methods
Embedded Pairs
Runge–Kutta–Nyström methods
Oscillatory system
Initial value problems
Clasificación UNESCO
Fecha de publicación
2023
Editor
Springer
Citación
Demba, M.A., Senu, N., Ramos, H. et al. A Phase- and Amplification-Fitted 5(4) Diagonally Implicit Runge–Kutta–Nyström Pair for Oscillatory Systems. Bull. Iran. Math. Soc. 49, 24 (2023). https://doi.org/10.1007/s41980-023-00765-9
Resumen
[EN]In this work, a phase- and amplification-fitted 5(4) diagonally implicit pair of Runge–Kutta–Nyström methods with four stages is developed to solve special second-order ordinary differential equations (ODEs), whose solutions are oscillatory. The local truncation errors of the formulas of the new pair are given, showing that the orders are maintained, with respect to the original formulas. The stability of the new method is studied, showing that the developed formulas present non-vanishing intervals of absolute stability. The numerical examples considered clearly show the robustness of the developed embedded pair over other diagonally implicit Runge–Kutta–Nyström (DIRKN) pairs in the literature.
URI
ISSN
1017-060X
DOI
10.1007/s41980-023-00765-9
Versión del editor
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