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The Convection-diffusion Equations’ Difference Scheme in Product Difference Quotient Space and Parallel Calculation

Author: LiWuLan
Tutor: ZhangDaKai
School: Guizhou University
Course: Basic mathematics
Keywords: diffusion-convection equation combined difference quotient product difference quotient space stability condition diagonally dominant condition parallel iteration methods
CLC: O241.82
Type: Master's thesis
Year: 2005
Downloads: 49
Quote: 0
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Abstract


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.

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
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