A TIME-SPLITTING FINITE-DIFFERENCE METHOD FOR 2-DIMENSIONAL DIFFUSIONWITH AN INTEGRAL CONDITION

Authors
NOYE BJ DEHGHAN M
Citation
Bj. Noye et M. Dehghan, A TIME-SPLITTING FINITE-DIFFERENCE METHOD FOR 2-DIMENSIONAL DIFFUSIONWITH AN INTEGRAL CONDITION, Communications in numerical methods in engineering, 10(8), 1994, pp. 649-660
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
10
Issue
8
Year of publication
1994
Pages
649 - 660
Database
ISI
SICI code
1069-8299(1994)10:8<649:ATFMF2>2.0.ZU;2-G
Abstract
A new fourth-order locally one-dimensional (LOD) finite difference sch eme based upon the Noye-Hayman method for one-dimensional diffusion is used to solve a two-dimensional time-dependent diffusion equation wit h an integral condition replacing one boundary condition. Numerical te sting shows this gives better results than a locally one-dimensional s cheme based on the classical forward-time centred-space (FTCS) method for one-dimensional diffusion except when the diffusion number is 1/6 and the methods are identical. Results from some numerical experiments are presented.