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.

中文翻译：

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线性重心有理搭配法求解热传导方程

提出了求解热传导方程的线性重心有理搭配方法。通过搭配法获得了离散热传导方程的矩阵形式。借助重心插值的收敛速度，证明了求解热传导方程的线性重心有理搭配方法的收敛速度。最后，通过数值算例验证了理论分析的正确性。