AN IMPLICIT, NUMERICAL METHOD FOR SOLVING TWO-DIMENSIONAL TIME-DEPENDENT DIFFUSION PROBLEMS

Journal Article · Sun Oct 01 00:00:00 EDT 1961 · Quart. Appl. Math.

OSTI ID:4818941

Oliphant, T A

An implicit scheme is developed for the numerical solution of two- dimensional, time-dependent diffusion and related problems. A general set of linear, simultaneous equations that may occur in 9- point differencing schemes is solved. The method is applied to both linear and nonlinear problems. Each time step is solved by an iterative procedure, and a convergence condition is derived for the linear case. Satisfactory convergence of the iterations is obtained. The method may be applied to simple, unconditionally stable differencing schemes. Schemes involving more than 9 points can be constructed and the method is in principle generalizable to 3 dimensions. (L.N.N.)

• Research Organization: Los Alamos Scientific Lab., N. Mex.
• NSA Number: NSA-16-008015
• OSTI ID: 4818941
• Journal Information: Quart. Appl. Math., Journal Name: Quart. Appl. Math. Vol. Vol: 19
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DIFFERENTIAL EQUATIONS
DIFFUSION
NUMERICALS
PHYSICS