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Linear barycentric rational collocation method for solving heat conduction equation |
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| Authors: | Jin Li Yongling Cheng |
| Abstract: | The linear barycentric rational collocation method for solving heat conduction equation is presented. The matrix form of discrete heat conduction equation by collocation method is also obtained. With the help of convergence rate of the barycentric interpolation, the convergence rate of linear barycentric rational collocation method for solving heat conduction equation is proved. At last, several numerical examples are provided to validate the theoretical analysis. |
| Keywords: | barycentric form heat conduction equation linear rational interpolation |