Classical implicit finite difference method for solving diffusion equation

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/sn00b170q

Descriptions

Attribute Name	Values
Creator	Lee, Martina Shoiw-ling
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.
Resource Type	Masters Thesis
Date Available	2014-03-03T20:55:27+00:00
Date Issued	1969-07-17
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1970
Advisor	Guenther, Ronald B.
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Fluid dynamics Diffusion -- Computer programs
Rights Statement	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/46319

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