A sinc-collocation method with boundary treatment for two-dimensional elliptic boundary value problems

DOI10.1016/j.cam.2005.08.022zbMath1096.65118OpenAlexW1964393998MaRDI QIDQ2499793

Wenbin Kong, Chen Li, Xiong-Hua Wu

Publication date: 14 August 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.08.022

zbMATH Keywords

convergencenumerical resultssingular perturbationconvection-diffusion problemserror boundssinc-collocation methodboundary treatment

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items

Accurate function sinc interpolation and derivative estimations over finite intervals, Imposing boundary conditions in Sinc method using highest derivative approximation, On sinc discretization method and block-tridiagonal preconditioning for second-order differential-algebraic equations, Stress analysis for long thermoelastic rods with mixed boundary conditions, Eliminating the unbounded behavior of function derivative expansions in terms of sinc bases, Numerical approach for solving neutral differential equation with deviating argument, The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method, The impact of two transformations on the solutions of second kind Fredholm integral equations system, A collection of computational techniques for solving singular boundary-value problems

Cites Work

• Double exponential formulas for numerical integration
• Recent developments of the Sinc numerical methods.
• Summary of Sinc numerical methods
• Double exponential transformation in the Sinc-collocation method for two-point boundary value problems
• Sinc collocation method with boundary treatment for two-point boundary value problems
• Linearized and rational approximation method for solving non-linear Burgers' equation
• Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
• The double-exponential transformation in numerical analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item