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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:196

Article

Wu, Xionghua ; Li, Chen ; Kong, Wenbin

关键词: Sinc-collocation method;    singular perturbation;    boundary treatment;    convection-diffusion problems;   

DOI  :  10.1016/j.cam.2005.08.022

来源: Elsevier

【 摘 要 】

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. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free