Improving the accuracy of Chebyshev Tau method for nonlinear differential problems

DOI10.1007/s11786-016-0265-1zbMath1342.65162OpenAlexW2337864647MaRDI QIDQ2630787

Yanyan Li

Publication date: 22 July 2016

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-016-0265-1

zbMATH Keywords

spectral methodsinitial and boundary value problemsnumerical investigation of stability of solutions

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Cites Work

• Chebyshev tau matrix method for Poisson-type equations in irregular domain
• Numerical solution of ordinary and partial functional-differential eigenvalue problems with the Tau method
• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• Step by step tau method. I: Piecewise polynomial approximations
• Parallel strategies for the step by step tau method
• New implementation of the tau method for PDEs.
• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• Numerical solution of a class of integro-differential equations by the tau method with an error estimation
• A tau method for nonlinear dynamical systems
• The special functions and their approximations. Vol. I, II
• Numerical solution of the system of Fredholm integro-differential equations by the tau method
• Dynamics of the Van der Pol equation
• The Lanczos Tau-method
• The Tau Method
• Trigonometric Interpolation of Empirical and Analytical Functions
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