Pseudospectral method for second-order autonomous nonlinear differential equations

DOI10.20537/vm190106zbMath1442.65123OpenAlexW2947841765WikidataQ127759240 ScholiaQ127759240MaRDI QIDQ5114305

Le Anh Nhat

Publication date: 22 June 2020

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu666

zbMATH Keywords

pseudospectral methodnonlinear differential equationsChebyshev polynomialChebyshev differentiation matrixautonomous equationsVan der Pol oscillator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Uses Software

• Matlab

Cites Work

• Exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain
• Application of the Chebyshev pseudospectral method to van der Waals fluids
• Collocation method via Jacobi polynomials for solving nonlinear ordinary differential equations
• Exact solutions for certain nonlinear autonomous ordinary differential equations of the second order and families of two-dimensional autonomous systems
• Solution of nonlinear ordinary differential equations by feedforward neural networks
• Approximating of unstable cycles in nonlinear autonomous systems
• Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept
• The Pseudospectral Method and Discrete Spectral Analysis
• A Pseudospectral Fictitious Point Method for High Order Initial‐Boundary Value Problems
• The Pseudospectral Method for Third-Order Differential Equations
• Stability and Dynamics of Numerical Methods for Nonlinear Ordinary Differential Equations
• Spectral Methods in MATLAB
• Accuracy and Speed in Computing the Chebyshev Collocation Derivative
• Using differentiation matrices for pseudospectral method solve Duffing Oscillator
• Numerical simulation of incompressible flows within simple boundaries: accuracy
• Pseudospectral Methods for Nonlinear Pendulum Equations
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