Abstract and Applied Analysis

A Jacobi-Collocation Method for Second Kind Volterra Integral Equations with a Smooth Kernel

Hongfeng Guo, Haotao Cai, and Xin Zhang

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

The purpose of this paper is to provide a Jacobi-collocation method for solving second kind Volterra integral equations with a smooth kernel. This method leads to a fully discrete integral operator. First, it is shown that the fully discrete integral operator is stable in both L and weighted L2 norms. Then, the proposed approach is proved to arrive at an optimal (the most possible) convergent order in both norms. One numerical example demonstrates the efficiency and accuracy of the proposed method.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 913691, 10 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425048180

Digital Object Identifier
doi:10.1155/2014/913691

Mathematical Reviews number (MathSciNet)
MR3240571

Zentralblatt MATH identifier
07023295

Citation

Guo, Hongfeng; Cai, Haotao; Zhang, Xin. A Jacobi-Collocation Method for Second Kind Volterra Integral Equations with a Smooth Kernel. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 913691, 10 pages. doi:10.1155/2014/913691. https://projecteuclid.org/euclid.aaa/1425048180


Export citation