Difference schemes for degenerate parabolic equations
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- by E. A. Socolovsky PDF
- Math. Comp. 47 (1986), 411-420 Request permission
Abstract:
Diagonal dominant implicit-difference schemes approximating a porous media type class of multidimensional nonlinear equations are shown to generate semigroups in an approximate ${L^1}$-space, and the rate of convergence to the semigroup solution in ${L^1}$ is given. The numerical schemes proposed by Berger et al. in [4] are described and a proof of convergence for the fully discrete algorithms is outlined. Numerical experiments are discussed.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Math. Comp. 47 (1986), 411-420
- MSC: Primary 65M10
- DOI: https://doi.org/10.1090/S0025-5718-1986-0856694-0
- MathSciNet review: 856694