Linear barycentric rational collocation method for solving generalized Poisson equations

Abstract

We consider the Poisson equation by collocation method with linear barycentric rational function. The discrete form of the Poisson equation was changed to matrix form. For the basis of barycentric rational function, we present the convergence rate of the linear barycentric rational collocation method for the Poisson equation. Domain decomposition method of the barycentric rational collocation method (BRCM) is also presented. Several numerical examples are provided to validate the algorithm.

Keywords

• linear barycentric rational function
• collocation method
• error functional
• poisson equation
• barycentric rational function