A NOTE ON JACOBI SPECTRAL-COLLOCATION METHODS FOR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS WITH SMOOTH SOLUTIONS

查看全文 作　　者：Yanping [1]Chen;Xianjuan [2]Li;Tao [3]Tang

机构地区：[1]School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;[2]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350108, China;[3]Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong

出　　处：《Journal of Computational Mathematics》索引2013年第31卷第1期,共10页

基　　金：Acknowledgments. This work is supported by National Science Foundation of China (1127114 5), Foundation for Talent Introduction of Guangdong Provincial University, Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme (2008), Specialized Research Fund for the Doctoral Program of Higher Education (20114407110009), and the Project of Department of Education of Guangdong Province (No. [2012] 290). The second author is sup- ported by the Natural Science Foundation of Fujian Province, China (2012J01007) and Start-up fund of Fuzhou University (0460022456). The second and third author are supported by the FRG Grant of Hong Kong Baptist University and the RGC Grants provided by Research Grant Council of Hong Kong. 摘　　要：这个工作涉及光谱为第二种类型与的 Volterra 不可分的方程的 Jacobi 搭配方法一形式弱单个(t - s )-- 伪当内在的答案是足够地光滑的时,集中分析被执行在[陈与唐, J。Comput。Appl。数学, 233 (2009 ) , pp。938-950 ] ;由于技术原因,结果被限制为 0 < 渭 < 1/2。在这个工作,我们将改进结果到一般盒子 0 < 渭 < 1 并且当光滑的答案被包含时,证明数字错误在无穷和加权的标准指数地腐烂。[从作者抽象] 关键词：VOLTERRA积分方程 JACOBI 光滑解积分方程组配置方法弱奇性注记频谱

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A NOTE ON JACOBI SPECTRAL-COLLOCATION METHODS FOR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS WITH SMOOTH SOLUTIONS

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