Arbitrary-order numerical schemes for model parabolic equation

dc.contributor.authorShi, Jianen_UK
dc.date1992en_UK
dc.date.accessioned2005-11-23T12:20:06Z
dc.date.available2005-11-23T12:20:06Z
dc.date.issued1992en_UK
dc.description.abstractThis report investigates the general theory and methodology of high order numerical schemes for one-dimensional model parabolic equation. The Universal Formula from which a 2-level explicit arbitrary-order numerical methods for diffusion equation can be derived is developed. Using the Universal Formula some high order numerical methods are constructed. Some important features of numerical methods are revealed through the construction of high order numerical methods and stability analysis. Subject to the limitation of diffusion number, d, being positive, only the method that satisfies positive stable region is relevant.en_UK
dc.description.sponsorshipCITen_UK
dc.format.extent1963 bytes
dc.format.extent497738 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1826/190
dc.language.isoen_UKen_UK
dc.relation.ispartofseriesCollege of Aeronautics Report;9210en_UK
dc.relation.ispartofseriesCIT/CoA/R;9210en_UK
dc.titleArbitrary-order numerical schemes for model parabolic equationen_UK
dc.typeTechnical Reporten_UK

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