Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies
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Publication:711074
DOI10.1016/j.cpc.2008.07.013zbMath1197.65085OpenAlexW2052243544MaRDI QIDQ711074
Xin-Yuan Wu, Yong-Zhong Song, Yong Lei Fang
Publication date: 25 October 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2008.07.013
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (13)
Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ A class of explicit high-order exponentially-fitted two-step methods for solving oscillatory IVPs ⋮ New phase fitted and amplification fitted Numerov-type methods for periodic IVPs with two frequencies ⋮ Ordinary differential equation algorithms for a frequency-domain water wave Green's function ⋮ Two-step extended RKN methods for oscillatory systems ⋮ Trigonometrically-fitted Scheifele two-step methods for perturbed oscillators ⋮ Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations ⋮ Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations ⋮ Explicit exponentially fitted two-step hybrid methods of high order for second-order oscillatory IVPs ⋮ An eighth-order exponentially fitted two-step hybrid method of explicit type for solving orbital and oscillatory problems ⋮ Exponentially fitted two-step hybrid methods for \(y^{\prime\prime} = f(x,y)\) ⋮ Two-frequency trigonometrically-fitted and symmetric linear multi-step methods for second-order oscillators ⋮ An explicit trigonometrically fitted Runge–Kutta method for stiff and oscillatory problems with two frequencies
Cites Work
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