古振东

广东金融学院金融数学与统计学院, 广州 510521

收稿日期:2019-11-14出版日期:2021-11-14发布日期:2021-11-12


基金资助:国家自然科学基金（11971123），广东省自然科学基金（2017A030310636，2018A030313236），广东省高性能计算学会开放基金（2017060104），中山大学广东省计算科学重点实验室开放基金（2016001）资助.

SPECTRAL COLLOCATION METHOD FOR NONLINEAR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS

Gu Zhendong

Guangdong University of Finance, Guangzhou 510521, China

Received:2019-11-14Online:2021-11-14Published:2021-11-12







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基于已有文献的研究成果及前期工作，我们考察了非线性弱奇性Volterra积分方程（VIE）的谱配置法，并对该方法进行了收敛性分析.得到的结论是数值误差呈谱收敛.误差收敛阶与配置点个数及方程解的正则性相关.数值实验也证实了这一结论.本文的方法解决了已有文献中类似数值方法（Allaei（2016），Sohrabi（2017））存在的问题.
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