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An Optimal-Order Error Estimate to the Modified Method of Characteristics for a Degenerate Convection-Diffusion Equation

An Optimal-Order Error Estimate to the Modified Method of Characteristics for a Degenerate Convection-Diffusion Equation

Year:    2009

International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 217–231

Abstract

We prove a priori error estimates in a weighted energy norm to the modified method of characteristics (MMOC) for time-dependent convection-diffusion equations with degenerate diffusion. The convergence rates are independent of the lower bound of the diffusion. In other words, these estimates hold uniformly with respect to the degenerate diffusion.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-IJNAM-764

International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 217–231

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Convergence analysis degenerate convection-diffusion equations Eulerian-Lagrangian methods interpolation of spaces optimal-order estimates.