A comparison of diffusion modeled by two mixed derivative equations

E. Momoniat

doi:10.1142/S0217984908017254

A comparison of diffusion modeled by two mixed derivative equations

E. Momoniat

University of the Witwatersrand

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

3 Citations (Scopus)

Abstract

Fourier and Bessel function solutions of two mixed derivative equations are investigated. For the appropriate sign of the material constants in the derivation of the mixed derivative equation, we obtain both Fourier and Bessel function solutions that tend to the corresponding solutions of the phenomenological diffusion equation. For the opposite sign of the material constants, the solutions diverge.

Original language	English
Pages (from-to)	2709-2713
Number of pages	5
Journal	Modern Physics Letters B
Volume	22
Issue number	27
DOIs	https://doi.org/10.1142/S0217984908017254
Publication status	Published - 30 Oct 2008
Externally published	Yes

Keywords

Bessel function solution
Fourier integral
Mixed derivative

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217984908017254

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title = "A comparison of diffusion modeled by two mixed derivative equations",

abstract = "Fourier and Bessel function solutions of two mixed derivative equations are investigated. For the appropriate sign of the material constants in the derivation of the mixed derivative equation, we obtain both Fourier and Bessel function solutions that tend to the corresponding solutions of the phenomenological diffusion equation. For the opposite sign of the material constants, the solutions diverge.",

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AB - Fourier and Bessel function solutions of two mixed derivative equations are investigated. For the appropriate sign of the material constants in the derivation of the mixed derivative equation, we obtain both Fourier and Bessel function solutions that tend to the corresponding solutions of the phenomenological diffusion equation. For the opposite sign of the material constants, the solutions diverge.

KW - Bessel function solution

KW - Fourier integral

KW - Mixed derivative

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DO - 10.1142/S0217984908017254

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A comparison of diffusion modeled by two mixed derivative equations

Abstract

Keywords

ASJC Scopus subject areas

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