EXPLICIT SOLUTION OF 2-DIMENSIONAL DIFFUSION SUBJECT TO SPECIFICATIONOF MASS

Authors
NOYE BJ DEHGHAN M
Citation
Bj. Noye et M. Dehghan, EXPLICIT SOLUTION OF 2-DIMENSIONAL DIFFUSION SUBJECT TO SPECIFICATIONOF MASS, Mathematics and computers in simulation, 37(1), 1994, pp. 37-45
Citations number
12
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematics and computers in simulation → ACNP
ISSN journal
03784754
Volume
37
Issue
1
Year of publication
1994
Pages
37 - 45
Database
ISI
SICI code
0378-4754(1994)37:1<37:ESO2DS>2.0.ZU;2-B
Abstract
An explicit finite difference scheme for the numerical solution of the diffusion equation on a rectangular region, subject to a non-local bo undary condition in the form of a double integral which simulates the specification of mass in a curved region is developed. The scheme, is based on the two-dimensional 5-point Forward-time Centered-Space (FTCS ) explicit formula. This method is simple in structure, is economical to use and is second-order, with a bounded range of stability. Some nu merical tests are presented and the accuracy obtained and the CPU time s required are compared to those found using the method described by C annon, Lin and Matheson.