A Domain Decomposition Chebyshev Spectral Collocation Method for Volterra Integral Equations  

作　　者：Hua Wu Yunzhen Zhu Hailu Wang Lingfang Xu 

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China

出　　处：《Journal of Mathematical Study》2018年第1期57-75,共19页数学研究（英文）

基　　金：supported by the National Natural Science Foundation of China(grant number 11571225).

摘　　要：We develop a domain decomposition Chebyshev spectral collocationmethod for the second-kind linear and nonlinear Volterra integral equations with smooth kernel functions.The method is easy to implement and possesses high accuracy.In the convergence analysis,we derive the spectral convergence order under the L¥-norm without the Chebyshev weight function,and we also show numerical examples which coincide with the theoretical analysis.

关 键 词：Nonlinear Volterra integral equations domain decomposition method Chebyshev–collocation spectral method convergence analysis 

分 类 号：O17[理学—数学]