A MORE ACCURATE FD SOLUTION FOR THE 3D NONLINEAR HEAT-EQUATION

Authors
ZERROUKAT M CHATWIN CR
Citation
M. Zerroukat et Cr. Chatwin, A MORE ACCURATE FD SOLUTION FOR THE 3D NONLINEAR HEAT-EQUATION, Communications in numerical methods in engineering, 11(6), 1995, pp. 535-544
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
11
Issue
6
Year of publication
1995
Pages
535 - 544
Database
ISI
SICI code
1069-8299(1995)11:6<535:AMAFSF>2.0.ZU;2-H
Abstract
The paper presents a new finite difference solution for the 3D non-lin ear heat equation. This solution is based on the approach of making fi nite difference substitutions into the solution of the partial differe ntial equation, rather than into the partial differential equation its elf, which is the classical approach. Numerical results show that the new FD equation is approximately ten times more accurate than the clas sical solutions.