Zero-dissipative phase-fitted hybrid methods for solving oscillatory second order ordinary differential equations

DOI10.1016/j.amc.2013.03.116zbMath1290.65057OpenAlexW1990695759WikidataQ62630609 ScholiaQ62630609MaRDI QIDQ2016366

Sufia Zulfa Ahmad, Norazak Senu, Mohamed Bin Suleiman, Fudziah Bt. Ismail

Publication date: 20 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.03.116

zbMATH Keywords

oscillatory solutionsphase-laghybrid methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

Some numerical algorithms for solving the highly oscillatory second-order initial value problems ⋮ Reproducing kernel-based piecewise methods for efficiently solving oscillatory systems of second-order initial value problems ⋮ Unnamed Item ⋮ Optimized hybrid methods for solving oscillatory second order initial value problems ⋮ Phase-fitted and amplification-fitted higher order two-derivative Runge-Kutta method for the numerical solution of orbital and related periodical ivps ⋮ Higher order dispersive and dissipative hybrid method for the numerical solution of oscillatory problems ⋮ Optimized fourth-order Runge-Kutta method for solving oscillatory problems ⋮ A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems

Cites Work

• Unnamed Item
• Unnamed Item
• Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations
• A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions
• A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators.
• An explicit hybrid method of Numerov type for second-order periodic initial-value problems
• An invariant imbedding algorithm for the solution of inhomogeneous linear two-point boundary value problems
• Phase-fitted and amplification-fitted two-step hybrid methods for \(y^{\prime\prime }=f(x,y)\)
• Stabilization of Cowell's method
• A class of explicit two-step hybrid methods for second-order IVPs
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Order conditions for a class of two-step methods for y = f (x, y)
• A class of self-starting methods for the numerical solution ofy″=f(x,y)
• Numerical Methods for Ordinary Differential Equations

This page was built for publication: Zero-dissipative phase-fitted hybrid methods for solving oscillatory second order ordinary differential equations