Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2014), Article ID 913691, 10 pages.
A Jacobi-Collocation Method for Second Kind Volterra Integral Equations with a Smooth Kernel
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 and weighted 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.
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 913691, 10 pages.
First available in Project Euclid: 27 February 2015
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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