IJPAM: Volume 94, No. 2 (2014)

SOLUTION OF THE TWO-DIMENSIONAL SECOND-ORDER
DIFFUSION EQUATION WITH NONLOCAL
BOUNDARY CONDITION

Samaneh Afshar$^1$, B. Soltanalizadeh$^{2}$
$^1$Department of Mathematics
Islamic Azad University
Central Tehran Branch
Tehran, IRAN
$^2$Department of Mathematics
University of Houston
4800 Calhoun Rd, Houston, TX 77204, USA


Abstract. In the mathematical modeling of many physical phenomena, the diffusion equations with nonlocal boundary condition can be appeared. In this paper, we focus on the two-dimensional inhomogeneous diffusion equations subject to a nonlocal boundary condition. We transform the model of partial differential equation (PDE) into a system of first order, linear, ordinary differential equations (ODEs).

Received: August 29, 2013

AMS Subject Classification: 35K05, 35K30

Key Words and Phrases: diffusion equations, nonlocal boundary conditions, parabolic PDEs, expansion methods, differential transformation method

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DOI: 10.12732/ijpam.v94i2.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 2
Pages: 119 - 131

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).