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

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Abstract—In this paper, we will consider the linear advection equation in one space dimension. Numerical analysis the efficiency of the minmod scheme, MC scheme, Valeer scheme the super bee scheme, Beam warming scheme, Fromm scheme. Some numerical experiments are presented to show the efficiency of the schemes.

Index Terms—Numerical analysis, advection equation, the efficiency.

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Cite: Hongxia Li, "The Numerical Approximation of the Linear Advection Equation in One Space Dimension," Journal of Computers vol. 7, no. 1, pp. 272-277, 2012.