An approximate solution for a mixed linear Volterra-Fredholm integral equation

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• 作者：Zhong Chen ; Wei Jiang ; ^{jiangwei015@163.com}
• 关键词：Taylor expansion method ; 蔚-approximate solution ; Exact solution ; Polynomial
• 刊名：Applied Mathematics Letters
• 出版年：2012
• 期刊代码：5_08939659
• 类别：mt
• 出版时间：August, 2012
• 卷：25
• 期：8
• 页码：1131-1134
• 文件大小：198 K

摘要

In this work, a method called the Taylor expansion method is used to solve a mixed linear Volterra-Fredholm integral equation of the second kind. A strict theory is established. The advantages of this method lie in that, on the one hand, the exact solution is obtained if the true solution is a polynomial, and on the other hand, if the true solution is not a polynomial, an approximate solution with high accuracy called an -approximate solution will be obtained by taking several terms. In short, our method is fast and efficient.