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

A. B. Gumel

doi:10.1017/s0334270000010560

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

A. B. Gumel

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	475-483
Number of pages	9
Journal	Journal of the Australian Mathematical Society Series B-Applied Mathematics
Volume	40
Issue number	4
DOIs	https://doi.org/10.1017/s0334270000010560
State	Published - Apr 1999
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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10.1017/s0334270000010560

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title = "On the numerical solution of the diffusion equation subject to the specification of mass",

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 ∫ab u(x, t) dx = M(t), 0 < b < X.",

author = "Gumel, {A. B.}",

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AB - 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 ∫ab u(x, t) dx = M(t), 0 < b < X.

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

Abstract

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