A linearly implicit finite-difference scheme for the one-dimensional porous medium equation
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- by David Hoff PDF
- Math. Comp. 45 (1985), 23-33 Request permission
Abstract:
We present and analyze a linearly implicit finite-difference scheme for computing approximate solutions and interface curves for the porous medium equation in one space variable. Our scheme requires only that linear, tridiagonal systems of equations be solved at each time step. We derive error bounds for the approximate interface curves as well as for the approximate solutions under the rather mild mesh condition $\Delta t/\Delta x \leqslant {\text {constant}}$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Math. Comp. 45 (1985), 23-33
- MSC: Primary 65M15; Secondary 76S05
- DOI: https://doi.org/10.1090/S0025-5718-1985-0790642-6
- MathSciNet review: 790642