A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay  

作　　者：Weishan Zheng Yanping Chen 

机构地区：[1]School of Mathematics sciences,South China Normal University,Guangzhou 510631,Guangdong,China

出　　处：《Advances in Applied Mathematics and Mechanics》2013年第2期131-145,共15页应用数学与力学进展（英文）

基　　金：This work is supported by National Science Foundation of China(11271145);Foundation for Talent Introduction of Guangdong Provincial University,Specialized Research Fund for the Doctoral Program of Higher Education(20114407110009);the Project of Department of Education of Guangdong Province(2012KJCX0036).

摘　　要：In this paper,a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with pantograph delay.We provide a rigorous error analysis for the proposed method.The spectral rate of convergence for the proposed method is established in both L^(2)-norm and L^(∞)-norm.

关 键 词：Legendre-spectral method second order Volterra integro-differential equation pantograph delay error analysis 

分 类 号：O17[理学—数学]