A HIGHLY ACCURATE AND EFFICIENT TRIGONOMETRICALLY-FITTED P-STABLE THREE-STEP METHOD FOR PERIODIC INITIAL-VALUE PROBLEMS
DOI10.1142/S0129183106008674zbMath1098.65080OpenAlexW2022399494MaRDI QIDQ5481807
Zhongcheng Wang, Dongmei Wu, Yongming Dai
Publication date: 24 August 2006
Published in: International Journal of Modern Physics C (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129183106008674
computational complexitynumerical examplesphase-lagDuffing equationhigh-order derivativetrigonometric fitting\(P\)-stabilityObrechkoff methodthree-step methodfirst-order derivative formulasecond-order initial value problem periodic solutions
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Cites Work
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- A Mathematica program for the two-step twelfth-order method with multi-derivative for the numerical solution of a one-dimensional Schrödinger equation
- A new high efficient and high accurate Obrechkoff four-step method for the periodic nonlinear undamped Duffing's equation
- Importance of the first-order derivative formula in the Obrechkoff method
- A modification of the Stiefel-Bettis method for nonlinearly damped oscillators
- Stabilization of Cowell's classical finite difference method for numerical integration
- Unconditionally stable methods for second order differential equations
- Obrechkoff versus super-implicit methods for the solution of first- and second-order initial value problems.
- The numerical solution of coupled differential equations arising from the Schrödinger equation
- P-Stable Obrechkoff Methods with Minimal Phase-Lag for Periodic Initial Value Problems
- Symmetric Multistip Methods for Periodic Initial Value Problems
- CLOSED NEWTON–COTES TRIGONOMETRICALLY-FITTED FORMULAE FOR LONG-TIME INTEGRATION