对实线上考奇奇异积分方程数值方法的一些考虑

IF 1.6 3区 数学 Q1 MATHEMATICS Mathematical Modelling and Analysis Pub Date : 2024-03-26 DOI:10.3846/mma.2024.18688
M. R. Capobianco, G. Criscuolo
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引用次数: 0

摘要

提出了两种不同的直接方法来求解实线上的考奇奇异积分方程。上述方法的不同之处在于能否证明其收敛性,而收敛性取决于积分方程中已知项函数的平滑性。
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SOME CONSIDERATIONS ON NUMERICAL METHODS FOR CAUCHY SINGULAR INTEGRAL EQUATIONS ON THE REAL LINE
Two different direct methods are proposed to solve Cauchy singular integral equations on the real line. The aforementioned methods differ in order to be able to prove their convergence which depends on the smoothness of the known term function in the integral equation.
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来源期刊
CiteScore
2.80
自引率
5.60%
发文量
28
审稿时长
4.5 months
期刊介绍: Mathematical Modelling and Analysis publishes original research on all areas of mathematical modelling and analysis.
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