A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems

DOI10.1155/2014/985120zbMath1407.65077OpenAlexW2149930707WikidataQ59071413 ScholiaQ59071413MaRDI QIDQ1719536

K. W. Moo, Norazak Senu, Fudziah Bt. Ismail, Mohamed Bin Suleiman

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/985120

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

Optimal three-stage implicit exponentially-fitted RKN methods for solving second-order ODEs ⋮ Implicit symmetric and symplectic exponentially fitted modified Runge-Kutta-Nyström methods for solving oscillatory problems ⋮ A phase- and amplification-fitted 5(4) diagonally implicit Runge-Kutta-Nyström pair for oscillatory systems ⋮ A class of implicit symmetric symplectic and exponentially fitted Runge-Kutta-Nyström methods for solving oscillatory problems ⋮ A fourth order implicit symmetric and symplectic exponentially fitted Runge-Kutta-Nyström method for solving oscillatory problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems
• A Runge-Kutta-Nyström pair for the numerical integration of perturbed oscillators
• A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions
• A zero-dissipative Runge-Kutta-Nyström method with minimal phase-lag
• Accuracy and linear stability of RKN methods for solving second-order stiff problems
• A note on a diagonally implicit Runge-Kutta-Nyström method
• \(A\)-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers
• An optimized explicit Runge-Kutta-Nyström method for the numerical solution of orbital and related periodical initial value problems
• A Runge-Kutta Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution
• Embedded diagonally implicit Runge-Kutta-Nystrom 4(3) pair for solving special second-order IVPs
• Stabilization of Cowell's method
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Families of Runge-Kutta-Nystrom Formulae
• Two-stage and Three-stage Diagonally Implicit Runge-Kutta Nyström Methods of Orders Three and Four
• Diagonally Implicit Runge–Kutta–Nyström Methods for Oscillatory Problems
• A one-step method for direct integration of structural dynamic equations
• Symmetric Multistip Methods for Periodic Initial Value Problems
• A NEW METHODOLOGY FOR THE CONSTRUCTION OF OPTIMIZED RUNGE–KUTTA–NYSTRÖM METHODS

This page was built for publication: A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems