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中文摘要：
以Legendre-Gauss-type积分节点为插值节点,构造插值基函数展开数值解,逼近有界杆上的非线性热传导方程Dirichlet边界条件的正确解。给出算法格式和相应的数值算例,表明所提算法格式的有效性和高精度。所给算法适合于非线性问题求解。
英文摘要：
This paper deals with the numerical solutions of mixed problem of nonlinear heat transfer with Dirichlet boundary conditions on bounded interval.Legendre-Gauss-type nodes are used to construct the degree Lagrange interpolation polynomial to approximate the solution of nonlinear heat transfer.Efficient algorithms is mplemented.Numerical results demonstrate its efficiency and high accuracy of this approach.Especially,it is much easier to deal with nonlinear heat transfer.The proposed method is also applicable to other nonlinear problems defined on certain bounded domains.
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