无界域头部方程的有理逼近

Q4 Mathematics

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Pub Date : 2019-07-20 DOI:10.31926/but.mif.2019.12.61.1.2

N. Arar

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引用次数: 0

摘要

本文提出并分析了利用切比雪夫多项式的诱导有理函数的Galerkin型近似，以确定热方程在整个R上的解。我们已经通过数值测试表明，这些新的有理函数非常适合于无界域中偏微分方程的近似。

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Rational approximation of the head equation in unbounded domain

In this paper, a Galerkin-type approximation using induced rational functions of Chebyshev polynomials is proposed and analyzed in order to deter-mine the solution of the heat equation over a whole R . We have shown by numerical tests that these new rational functions are very well adapted to approximations of PDEs in unbounded domain.

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来源期刊

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量