Implicit third derivative Runge-Kutta-Nyström method with trigonometric coefficients
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Publication:745228
DOI10.1007/s11075-014-9938-5zbMath1325.65104OpenAlexW2011902397MaRDI QIDQ745228
Publication date: 13 October 2015
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-014-9938-5
stabilitynumerical experimentperiodic initial value problemoscillatory initial value problemstrigonometrically-fittedRunge-Kutta-Nystöm methodthird derivative
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)
Related Items (10)
Solving the telegraph and oscillatory differential equations by a block hybrid trigonometrically fitted algorithm ⋮ 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 trigonometrically fitted block method for solving oscillatory second-order initial value problems and Hamiltonian systems ⋮ A class of implicit symmetric symplectic and exponentially fitted Runge-Kutta-Nyström methods for solving oscillatory problems ⋮ Integrating oscillatory general second-order initial value problems using a block hybrid method of order 11 ⋮ On modified TDRKN methods for second-order systems of differential equations ⋮ A functionally-fitted block Numerov method for solving second-order initial-value problems with oscillatory solutions ⋮ A fourth order implicit symmetric and symplectic exponentially fitted Runge-Kutta-Nyström method for solving oscillatory problems ⋮ Functionally fitted block method for solving the general oscillatory second-order initial value problems and hyperbolic partial differential equations
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