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

作者：Guo, Hongfeng; Cai, Haotao; Zhang, Xin^*

来源：Abstract and Applied Analysis, 2014, 2014: 913691.

DOI：10.1155/2014/913691

• POLYNOMIAL-APPROXIMATION

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-infinity and weighted L-2 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.

• 出版日期2014
• 单位山东财经大学