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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Numerical Solution of Burgers' Equation by Petrov−Galerkin Method with Adaptive Weighting Functions

巻 44, 発行 1, 2012, pp. 50-67
DOI: 10.1615/JAutomatInfScien.v44.i1.50
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要約

One has proposed the modification of Petrov−Galerkin method for numerical solution of Burgers’ equation with convection-dominated term using adaptive weighting functions, which change dynamically depending on the evolutional solution. The finite-dimensional model of corresponding process has been constructed as the system of ordinary differential equations. The efficiency of the proposed method has been illustrated by examples of comparing the numerical solution with the analytical one

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