典型文献
A SPECTRAL METHOD FOR A WEAKLY SINGULAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION WITH PANTOGRAPH DELAY
文献摘要：
In this paper,a Jacobi-collocation spectral method is developed for a Volterra-integro-differential equation with delay,which contains a weakly singular kernel.We use a function transformation and a variable transformation to change the equation into a new Volterra integral equation defined on the standard interval[1,1],so that the Jacobi orthog-onal polynomial theory can be applied conveniently.In order to obtain high order accuracy for the approximation,the integral term in the resulting equation is approximated by Jacobi spectral quadrature rules.In the end,we provide a rigorous error analysis for the proposed method.The spectral rate of convergence for the proposed method is established in both the L∞-norm and the weighted L2-norm.
文献关键词：
中图分类号：
作者姓名：
Weishan ZHENG;Yanping CHEN
作者机构：
College of Mathematics and Statistics,Hanshan Normal University,Chaozhou 521041,China;School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China
文献出处：
引用格式：
[1]Weishan ZHENG;Yanping CHEN-.A SPECTRAL METHOD FOR A WEAKLY SINGULAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION WITH PANTOGRAPH DELAY)[J].数学物理学报（英文版）,2022(01):387-402
A类：
SPECTRAL,WEAKLY,SINGULAR,VOLTERRA,INTEGRO,DIFFERENTIAL,EQUATION,PANTOGRAPH
B类：
METHOD,FOR,WITH,DELAY,In,this,paper,Jacobi,collocation,spectral,method,developed,Volterra,integro,differential,equation,delay,which,contains,weakly,singular,kernel,We,use,function,transformation,variable,change,into,new,integral,defined,standard,interval,so,that,orthog,onal,polynomial,theory,can,be,applied,conveniently,order,obtain,high,accuracy,approximation,term,resulting,approximated,by,quadrature,rules,end,provide,rigorous,error,analysis,proposed,rate,convergence,established,both,norm,weighted,L2
AB值：
0.591579
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
