Zhejiang University of Finance and Economics , Hangzhou, Zhejiang, 310018, China

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Abstract—In this paper, one explicit scheme for the linear he at conduction equation in one space dimension is conside re d. We will analysis the truncation error of the method and w ill use the super norm, Fourier series to analysis the stability of the scheme; at last the numerical experiments of initial va lue problem will be presented.

Index Terms—Explicit scheme, heat conduction equation, nu merical experiments.

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Cite: Hongxia Li, "One Explicit Scheme for the Linear Heat Conduction Equation and the Numerical Approximation," Journal of Computers vol. 7, no. 3, pp. 743-748, 2012.