EXPLICIT EIGHTH ORDER NUMEROV-TYPE METHODS WITH REDUCED NUMBER OF STAGES FOR OSCILLATORY IVPs

DOI10.1142/S0129183108012625zbMath1153.65067OpenAlexW2083462361MaRDI QIDQ3534066

Ioannis Th. Famelis

Publication date: 3 November 2008

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183108012625

zbMATH Keywords

numerical examplesphase-lagperiodic problemsorder conditionsoscillating solutionsNumerov methodsecond order initial value problems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

On ninth order, explicit Numerov-type methods with constant coefficients ⋮ A class of explicit high-order exponentially-fitted two-step methods for solving oscillatory IVPs ⋮ An eighth-order exponentially fitted two-step hybrid method of explicit type for solving orbital and oscillatory problems ⋮ Trigonometric-fitted explicit Numerov-type method with vanishing phase-lag and its first and second derivatives ⋮ NUMEROV-TYPE METHODS FOR OSCILLATORY LINEAR INITIAL VALUE PROBLEMS ⋮ Trigonometrically fitted multi-step hybrid methods for oscillatory special second-order initial value problems

Uses Software

• Mathematica
• SLCPM12

Cites Work

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• Order conditions for a class of two-step methods for y = f (x, y)
• EXPLICIT EIGHTH ORDER TWO-STEP METHODS WITH NINE STAGES FOR INTEGRATING OSCILLATORY PROBLEMS
• On Runge-Kutta processes of high order
• Two-step fourth order P-stable methods for second order differential equations

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