A precise Runge-Kutta integration and its application for solving nonlinear dynamical systems

DOI10.1016/J.AMC.2006.06.054zbMath1114.65084OpenAlexW1982322958MaRDI QIDQ879510

Zi-Chen Deng, Wen-cheng Li, Su-ying Zhang

Publication date: 14 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.054

zbMATH Keywords

stabilitynumerical examplesRunge-Kutta methodprecise integrationnonlinear dynamical equation

Mathematics Subject Classification ID

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 (4)

Highly precise and efficient solution strategy for linear heat conduction and structural dynamics ⋮ Description of dispersive wave emission and supercontinuum generation in silicon waveguides using split-step Fourier and Runge-Kutta integration methods ⋮ A modified precise integration method based on Magnus expansion for transient response analysis of time varying dynamical structure ⋮ The coupled nonlinear Schrödinger equations describing power and phase for modeling phase-sensitive parametric amplification in silicon waveguides

Cites Work

• An improved precise integration method for nonlinear dynamic system
• The optimal solution of the constrained nonlinear control system
• Precise Integration Method for Nonlinear Dynamic Equation
• Unnamed Item

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