非光滑核Fredholm积分方程的谱逼近方法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-11-10 DOI:10.3846/mma.2022.16029

C. Allouch, D. Sbibih, M. Tahrichi

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引用次数: 0

摘要

本文研究了逼近格林函数型核Fredholm积分方程解的多项式投影和修正投影方法。投影可以是正交投影，也可以是利用勒让德多项式基的插值投影。分析了这些方法的收敛阶数和迭代版本的超收敛阶数。最后给出了一个数值算例来说明理论结果。

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Spectral Approximation Methods for Fredholm integral equations with non-smooth Kernels

In this paper, polynomially based projection and modified projection methods for approximating the solution of Fredholm integral equations with a kernel of Green’s function type are studied. The projection is either an orthogonal projection or an interpolatory projection using Legendre polynomial basis. The orders of convergence of these methods and those of superconvergence of the iterated versions are analysed. A numerical example is given to illustrate the theoretical results.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.