Convergence Analysis of Jacobi Pseudo-Spectral Method for the Volterra Delay Integro-Differential Equations

Authors

Zhang Xiao-yong, Department of Mathematics, Shanghai Maritime University, Haigang Avenue, 1550, Shanghai, 201306, ChinaFollow
Li Junlin, Department of Mathematics, Taiyuan University of Science and Technology, Shanxi, ChinaFollow

Author Country (or Countries)

China

Abstract

The Jacobi pseudo-spectral method for the Volterra delay integro-differential equations of the second kind is proposed in this paper. We provide a rigorous error analysis for the proposed method, which indicates that the numerical errors (in the L2w a,b -norm and the L¥-norm ) will decay exponentially provided that the source function is sufficiently smooth. Numerical examples are given to illustrate the theoretical results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090118

Recommended Citation

Xiao-yong, Zhang and Junlin, Li (2015) "Convergence Analysis of Jacobi Pseudo-Spectral Method for the Volterra Delay Integro-Differential Equations," Applied Mathematics & Information Sciences: Vol. 09: Iss. 1, Article 25.
DOI: http://dx.doi.org/10.12785/amis/090118
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss1/25