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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

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 $\Delta t/\Delta x \leqslant {\text {constant}}$.
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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