NDLI: Fitted finite volume positive difference scheme for a stationary model of air pollution

Content Provider	Springer Nature Link
Author	Chergorova, Tatiana Lubin Vulkov, Lubin
Copyright Year	2014
Abstract	A new approach is proposed for the numerical solution of boundary value one-dimensional problem of advection-diffusion equation which arises, among others, in air pollution modeling. Since the problem is posed in an unbounded interval we use a log-transformation to confine the computational region. We discuss the well-posedness of the new problem and the properties of its solution. We derive a positive finite volume difference scheme. Some results from computational experiments are presented.
Starting Page	171
Ending Page	189
Page Count	19
File Format	PDF
ISSN	10171398
Journal	Numerical Algorithms
Volume Number	70
Issue Number	1
e-ISSN	15729265
Language	English
Publisher	Springer US
Publisher Date	2014-11-27
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Advection-diffusion equation Infinite domain Log-transformation Degeneracy Maximum principle Finite volume method Conservation of non-negativity Numeric Computing Algorithms Algebra Theory of Computation Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Fitted finite volume positive difference scheme for a stationary model of air pollution