06091060

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06091060 Wang, Tianjun Jia, Lirui Lagrange interpolation approximation of the nonlinear heat transfer. J. Henan Univ. Sci. Technol., Nat. Sci. 32, No. 2, 68-71 (2011). 2011 Editorial Office of HUST, Luoyang, Henan ZH nonlinear heat transfer equation Legendre-Gauss-Lobatto nodes Lagrange interpolation approximation Neumann boundary value problem Summary: This paper deals with the numerical solutions of the nonlinear heat transfer with Neumann boundary condition on bounded interval. Legendre-Gauss-Lobatto nodes are used to construct the {\it N}th degree Lagrange interpolation polynomial to approximate the solution of the nonlinear heat transfer with Neumann boundary condition. an efficient algorithm is implemented. Numerical results demonstrate its efficiency and high accuracy of this approach. Especially, it is much easier to deal with the nonlinear heat transfer. The proposed method is also applicable to other nonlinear problems defined on certain bounded domains.