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作者郑伟珊,陈艳萍（2019）在《NUMERICAL ANALYSIS FOR VOLTERRA INTEGRAL EQUATION WITH TWO KINDS OF DELAY》一文中研究指出：In this article, we study the Volterra integral equations with two kinds of delay that are proportional delay and nonproportional delay. We mainly use Chebyshev spectral collocation method to analyze them. First, we use variable transformation to transform the equation into an new equation which is defined in [-1,1]. Then, with the help of Gronwall inequality and some other lemmas, we provide a rigorous error analysis for the proposed method, which shows that the numerical error decay exponentially in L∞ and Lωc2-norm. In the end, we give numerical test to confirm the conclusion.
Abstract
In this article, we study the Volterra integral equations with two kinds of delay that are proportional delay and nonproportional delay. We mainly use Chebyshev spectral collocation method to analyze them. First, we use variable transformation to transform the equation into an new equation which is defined in [-1,1]. Then, with the help of Gronwall inequality and some other lemmas, we provide a rigorous error analysis for the proposed method, which shows that the numerical error decay exponentially in L∞ and Lωc2-norm. In the end, we give numerical test to confirm the conclusion.
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论文作者分别是来自Acta Mathematica Scientia(English Series)的郑伟珊,陈艳萍，发表于刊物Acta Mathematica Scientia(English Series)2019年02期论文，是一篇关于,Acta Mathematica Scientia(English Series)2019年02期论文的文章。本文可供学术参考使用，各位学者可以免费参考阅读下载，文章观点不代表本站观点，资料来自Acta Mathematica Scientia(English Series)2019年02期论文网站，若本站收录的文献无意侵犯了您的著作版权，请联系我们删除。