Properties of finite difference models of non-linear conservative oscillators
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Publication:2879849
DOI10.1016/S0022-460X(88)81414-7zbMath1235.65085MaRDI QIDQ2879849
Publication date: 5 April 2012
Published in: Journal of Sound and Vibration (Search for Journal in Brave)
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
Related Items (8)
NSFD representations for polynomial terms appearing in the potential functions of 1-dimensional conservative systems ⋮ On the choice of denominator functions and convergence of NSFD schemes for a class of nonlinear SBVPs ⋮ Applications of modified Mickens-type NSFD schemes to Lane-Emden equations ⋮ AN INTRODUCTION TO NONSTANDARD FINITE DIFFERENCE SCHEMES ⋮ On the use of nonstandard finite difference methods† ⋮ Construction of finite difference schemes for coupled nonlinear oscillators derived form a discrete energy function ⋮ Numerical studies of a nonlinear heat equation with square root reaction term ⋮ Finite-difference schemes having the correct linear stability properties for all finite step-sizes. III
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