Barycentric rational collocation method for semi-infinite domain problems

Abstract

The barycentric rational collocation method for solving semi-infinite domain problems is presented. Following the barycentric interpolation method of rational polynomial and Chebyshev polynomial, matrix equation is obtained from discrete semi-infinite domain problem. Truncation method and transformation method are presented to solve linear and nonlinear differential equation defined on the semi-infinite domain problems. At last, three numerical examples are presented to valid our theoretical analysis.

Keywords

• linear barycentric rational interpolation
• collocation method
• semi-infinite domain problem
• truncation method
• barycentric interpolation method