A nonstandard Euler scheme for \(y+g(y)y'+f(y)y=0\)

DOI10.1016/S0377-0427(02)00753-7zbMath1018.65091MaRDI QIDQ1872988

Bruno D. Welfert, Hristo V. Kojouharov

Publication date: 19 May 2003

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

zbMATH Keywords

linear stabilityMATLABsplittingEuler methodLie group methodnonstandard finite difference schemeconservative method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) 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 (5)

An adaptive spectral parametric method for solving nonlinear initial value problems ⋮ Piecewise homotopy methods for nonlinear ordinary differential equations ⋮ Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models ⋮ On the use of nonstandard finite difference methods† ⋮ Non-standard, explicit integration algorithms based on linearization for nonlinear dynamic response analysis

Uses Software

• Matlab

Cites Work

• Linearized methods for ordinary differential equations
• Discretizations of nonlinear differential equations using explicit nonstandard methods
• Calculation of the level splitting of energy and the decay rate of some one-dimensional potentials by instantons method
• Explicit Canonical Methods for Hamiltonian Systems
• Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
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