A NEW HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEME FOR SOLVING 3-DIMENSIONAL PARABOLIC EQUATIONS

Authors
Citation
Ms. Ma, A NEW HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEME FOR SOLVING 3-DIMENSIONAL PARABOLIC EQUATIONS, Applied mathematics and mechanics, 19(5), 1998, pp. 497-501
Citations number
4
Categorie Soggetti
Mathematics,Mathematics,Mechanics
ISSN journal
02534827
Volume
19
Issue
5
Year of publication
1998
Pages
497 - 501
Database
ISI
SICI code
0253-4827(1998)19:5<497:ANHAED>2.0.ZU;2-D
Abstract
In this paper, a new three-level explicit difference scheme with high- order accuracy is proposed for solving three-dimensional parabolic equ ations. The stability condition is r = Delta t/Delta x(2) = Delta t/De lta gamma(2) = Delta t/Delta z(2) less than or equal to 1/4, and the t runcation error is O(Delta t(2) + Delta x(4)).