On the numerical solution of the diffusion equation subject to the specification of mass

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Abstract

A parallel algorithm is developed for the numerical solution of the diffusion equation u1 = uxx, 0 < x < X, 0 < t < T, subject to u(x, 0) = f (x), ux(X, t) = g(t) and the specification of mass ∫a b u(x, t) dx = M(t), 0 < b < X.

Original languageEnglish (US)
Pages (from-to)475-483
Number of pages9
JournalJournal of the Australian Mathematical Society Series B-Applied Mathematics
Volume40
Issue number4
StatePublished - Apr 1999
Externally publishedYes

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Parallel algorithms
Diffusion equation
Parallel Algorithms
Numerical Solution
Specification
Specifications

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

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abstract = "A parallel algorithm is developed for the numerical solution of the diffusion equation u1 = uxx, 0 < x < X, 0 < t < T, subject to u(x, 0) = f (x), ux(X, t) = g(t) and the specification of mass ∫a b u(x, t) dx = M(t), 0 < b < X.",
author = "Abba Gumel",
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