Accession Number : AD0778309

Title :   Numerical Solution of a Diffusion Consumption Problem with a Free Boundary.

Descriptive Note : Technical rept.,


Personal Author(s) : Berger,Alan E. ; Ciment,Melvyn ; Rogers,Joel C. W.

Report Date : 31 JAN 1974

Pagination or Media Count : 61

Abstract : The authors consider the numerical solution of an implicit moving free boundary problem which arises in the study of diffusion and consumption of oxygen in tissue. A fixed domain numerical method is presented which is motivated by a theoretical formulation developed by Rogers. The numerical method uses any convenient finite difference or finite element scheme which converges to the underlying partial differential equation. The frontal generation appears by way of a simple algebraic comparison operation involving truncation of the computed approximation. Higher space dimensions are treated with equal ease. Results of numerical experiments are presented. A convergence proof for the truncation method is given. (Author)

Descriptors :   *Tissues(Biology), *Respiration, *Oxygen consumption, *Diffusion, *Boundary value problems, Finite difference theory, Partial differential equations, Steady state, Theorems, Algorithms

Subject Categories : Anatomy and Physiology

Distribution Statement : APPROVED FOR PUBLIC RELEASE