Classical implicit finite difference method for solving diffusion equation Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/sn00b170q

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  • 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.
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  • 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.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-03-03T20:55:27Z (GMT) No. of bitstreams: 1 LeeMartina1970.pdf: 903667 bytes, checksum: d891546a8e61e0a40c9b638804d62d27 (MD5)
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-03-03T15:27:35Z (GMT) No. of bitstreams: 1 LeeMartina1970.pdf: 903667 bytes, checksum: d891546a8e61e0a40c9b638804d62d27 (MD5)
  • description.provenance : Made available in DSpace on 2014-03-03T20:55:27Z (GMT). No. of bitstreams: 1 LeeMartina1970.pdf: 903667 bytes, checksum: d891546a8e61e0a40c9b638804d62d27 (MD5) Previous issue date: 1969-07-17

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