Abstract
In this paper, the linear barycentric rational interpolation collocation method for solving one‐ and two‐dimensional telegraph equation is presented. The barycentric rational interpolation is introduced. Following the barycentric rational interpolation method, the matrix form of the collocation method is also obtained which can be easily programmed. With the help of the convergence rate of the linear barycentric rational interpolation, the convergence rate of linear barycentric rational collocation method for solving telegraph equation is proved. At last, several numerical examples are provided to show the convergence rate and verify the correctness of the theoretical analysis.
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