Record Details
Classical implicit finite difference method for solving diffusion equation
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Classical implicit finite difference method for solving diffusion equation |
| Names |
Lee, Martina Shoiw-ling
(creator) Guenther, Ronald B. (advisor) |
| Date Issued | 1969-07-17 (iso8601) |
| Note | Graduation date: 1970 |
| Abstract | This thesis introduces a technique for approximating to a desired degree of accuracy a linear parabolic equation of two spatial dimensions with given initial data and prescribed boundary conditions. The technique is generalized to non-linear parabolic equations. It is stable for all mesh ratios, and it is second order accurate with respect to the spatial variables and first order accurate with respect to the time variable. The method is then applied to the solution of a non-linear diffusion equation describing the flow of a fluid in a saturated, porous medium. |
| Genre | Thesis/Dissertation |
| Topic | Diffusion -- Computer programs |
| Identifier | http://hdl.handle.net/1957/46319 |
