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The Convection-diffusion Equations' Difference Scheme In Product Difference Quotient Space And Parallel Calculation

Posted on:2006-12-21Degree:MasterType:Thesis
Country:ChinaCandidate:W L LiFull Text:PDF
GTID:2120360185974065Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, the concept of combination difference quotient is giveno It has constructed a kind of explicit and implicit difference schemes in product difference quotient space with the idea of combinational difference quotient, which has higher precision, better stability, wider application scope and calculates simply; and it also given out the parallel iterative methods for the implicit scheme, which calculate simply, need less time and have higher efficiency. And numerical examples verify the results of the theoretical analysis.
Keywords/Search Tags:diffusion-convection equation, combined difference quotient, product difference quotient space, stability condition, diagonally dominant condition, parallel iteration methods
PDF Full Text Request
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