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

Authors:
Xionghua Wu;Chen Li;Wenbin Kong
Affiliations:
Department of Applied Mathematics, Tongji University, Shanghai, PR China;Department of Applied Mathematics, Tongji University, Shanghai, PR China;Department of Applied Mathematics, Tongji University, Shanghai, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 7
Cited 4

Sinc methods for quadrature and differential equations

Sinc methods for quadrature and differential equations
Summary of Sinc numerical methods

Journal of Computational and Applied Mathematics - Special issue on numerical analysis in the 20th century vol. 1: approximation theory
The double-exponential transformation in numerical analysis

Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
Surfaces in CAGD '84

Surfaces in CAGD '84
Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems

Mathematics of Computation
Recent developments of the Sinc numerical methods

Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Sinc collocation method with boundary treatment for two-point boundary value problems

Journal of Computational and Applied Mathematics

A survey on various computational techniques for nonlinear elliptic boundary value problems

Advances in Engineering Software
Imposing boundary conditions in Sinc method using highest derivative approximation

Journal of Computational and Applied Mathematics
Numerical solution of two-point boundary value problems using

AMERICAN-MATH'12/CEA'12 Proceedings of the 6th WSEAS international conference on Computer Engineering and Applications, and Proceedings of the 2012 American conference on Applied Mathematics
The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	7.29

Visualization

Abstract

It is difficult for the Sinc-collocation method to solve directly boundary value problems in two variables with the mixed nonhomogeneous boundary condition. In this paper, a developed Sinc-collocation method with boundary treatment (SCMBT) is introduced. It is easy to treat mixed nonhomogeneous boundary condition for our method. The error in the approximation of the solution is shown to converge at an exponential rate. And the numerical results show that compared with the exiting results, our method is of high accuracy, of good convergence with little computational efforts.