Adaptive interval wavelet precise integration method for partial differential equations

DOI10.1007/BF02440087zbMath1144.65325MaRDI QIDQ939825

Shu-Li Mei, Qi-Shao Lu, Sen-Wen Zhang, Li Jin

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Burgers equationextrapolation methodprecise integration methodinterval wavelet

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (9)

The existence and uniqueness of solution to wavelet collocation ⋮ Adaptive wavelet precise integration method for nonlinear Black-Scholes model based on variational iteration method ⋮ Wavelet based solutions to the Poisson and the Helmholtz equations on the \(n\)-dimensional unit sphere ⋮ Numerical simulation of vortex evolution based on adaptive wavelet method ⋮ Construction of interval Shannon wavelet and its application in solving nonlinear Black-Scholes equation ⋮ Wavelet-based homotopy analysis method for nonlinear matrix system and its application in Burgers equation ⋮ Construction of interval wavelet based on restricted variational principle and its application for solving differential equations ⋮ Interval Shannon wavelet collocation method for fractional Fokker-Planck equation ⋮ Numerical solution of Poisson equation with wavelet bases of Hermite cubic splines on the interval

Cites Work

• The study of quasi-wavelets based numerical method applied to Burgers equations
• Improved exponential discretization method for convection-diffusion equation
• Adaptive wavelet collocation method for the solution of Burgers equation

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