A new method to solve numeric solution of nonlinear dynamic system
type: Item
instance of: scholarly article
title: A new method to solve numeric solution of nonlinear dynamic system
zbMATH Open document ID: 1400.65037
DOI: 10.1155/2016/1485759
author: Min Hu
author: Fengjun Li
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: It is well known that the cubic spline function has advantages of simple forms, good convergence, approximation, and second-order smoothness. A particular class of cubic spline function is constructed and an effective method to solve the numerical solution of nonlinear dynamic system is proposed based on the cubic spline function. Compared with existing methods, this method not only has high approximation precision, but also avoids the Runge phenomenon. The error analysis of several methods is given via two numeric examples, which turned out that the proposed method is a much more feasible tool applied to the engineering practice.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 6952788
Wikidata QID: Q59130974
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1485759
OpenAlex ID: W2552450227
cites work: An overview of bifurcation, chaos and nonlinear dynamics in control systems
cites work: Perturbation method for solving the nonlinear eigenvalue problem arising from fatigue crack growth problem in a damaged medium
cites work: Averaging methods of arbitrary order, periodic solutions and integrability
cites work: Local linearization-Runge-Kutta methods: a class of A-stable explicit integrators for dynamical systems
cites work: The Euler-Galerkin finite element method for a nonlocal coupled system of reaction-diffusion type
cites work: A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
cites work: Modulus of continuity with respect to semigroups of analytic functions and applications
cites work: Spline Function Approximations for Solutions of Ordinary Differential Equations
cites work: Two cubic spline methods for solving Fredholm integral equations
cites work: Numerical solution of non-linear Fokker-Planck equation using finite differences method and the cubic spline functions
cites work: Smooth bivariate shape-preserving cubic spline approximation
cites work: On Peano's theorem in Banach spaces
description: scientific article; zbMATH DE number 6952788