IJPAM: Volume 82, No. 1 (2013)

EXACT SOLUTIONS TO FICK-JACOBS EQUATION

Juan M. Romero$^1$, O. González-Gaxiola$^2$, G. Chacón-Acosta$^3$
$^{1,2,3}$Department of Applied Mathematics and Systems
UAM-Cuajimalpa
Artificios 40, México, D.F 01120, MEXICO


Abstract. A relation between Fick-Jacobs and Schrödinger equation is shown. When the diffusion coefficient is constant, exact solutions for Fick-Jacobs equation are obtained. Using a change of variable the general case is studied.

Received: September 1, 2012

AMS Subject Classification: 35Q82, 35Q40, 35Q92

Key Words and Phrases: Fick-Jacobs equation, Schrödinger equation, exact solutions

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 1