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

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.