An adaptive method for the numerical solution of Fredholm integral equations of the second kind. I. regular kernels期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

An adaptive method for the numerical solution of Fredholm integral equations of the second kind. I. regular kernels

Affiliation:	1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, PR China;2. School of Mathematics and Information Sciences, Nanchang Hangkong University, Nanchang 330063, PR China;1. School of Science, Huzhou University, Huzhou 313000, China;2. School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia;3. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210000, China

Abstract:	An adaptive method based on the trapezoidal rule for the numerical solution of Fredholm integral equations of the second kind is developed. The choice of mesh points is made automatically so as to equidistribute both the change in the discrete solution and its gradient. Some numerical experiments with this method are presented.

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