Abstract
A new type of generalized Lax-Friedrichs scheme for the convective-diffusion equation u t + au x = εu xx ( a ∈ R, ε > 0) is given and analyzed. For the convection term, the scheme use generalized Lax-Friedrichs scheme. For the diffusion term, it uses implicit central difference scheme. The scheme is discussed by applying modified equation analysis, in order to find the relative phase error, numerical dissipation, numerical viscosity, numerical damping and oscillations.
Supported by Natural Science Foundation of Jiujiang University.
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Tong, W., Wu, Y. (2012). Generalized Lax-Friedrichs Scheme for Convective-Diffusion Equation. In: Liu, C., Wang, L., Yang, A. (eds) Information Computing and Applications. ICICA 2012. Communications in Computer and Information Science, vol 307. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34038-3_44
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DOI: https://doi.org/10.1007/978-3-642-34038-3_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34037-6
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