Accession Number : AD0256982

Title :   ON THE STABILITY ANALYSIS OF AN IMPLICIT DIFFERENCE ANALOG OF THE TWO-DIMENSIONAL DIFFUSION EQUATION WITH CONCENTRATION DEPENDENT DIFFUSIVITY

Corporate Author : CALIFORNIA UNIV LOS ANGELES

Personal Author(s) : BUSSELL,BERTRAM

Report Date : MAR 1961

Pagination or Media Count : 1

Abstract : A procedure has been demonstrated by which variations in the diffusion coefficient in a two dimensional diffusion equation can be introduced into the solution at every time step in the alternating direction method of solution. This can be accomplished provided that the change in the dimensionless parameter (analogous to the inverse of the Fourier modulus in heat transfer) falls within specified ranges as indicated, or that an adjustment in the time step can be made to compensate for a portion of the change in the diffusion coefficient so that the allowable bounds on the change are not violated. The conditions as de eloped for this problem using the von Neumann criterion are sufficient to insure stability of the difference analog. (Author)

Descriptors :   *DIFFUSION, *HEAT TRANSFER, *THERMODYNAMICS, NONLINEAR SYSTEMS, NUMERICAL ANALYSIS, NUMERICAL METHODS AND PROCEDURES, PARTIAL DIFFERENTIAL EQUATIONS, SERIES(MATHEMATICS), STABILITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE