Two-dimensional Fredholm Integral Equation Configure The Solution And Convergence Analysis

With the numerical method of solving Fredholm integral equation,projection method has the advantages of relatively smaller number of operators and lower complexity.Then, colloca-tion method is a good projection methods which has a good theoretical analysis results and strong practical application value. In this paper,the Chebyshev-collocation method and the Legendre-collocation method for a class of two-dimomensional Fredholm integral equation are discussed by Descartes product-type Chebyshev polynomials as basis functions.The results of error analysis are obtained.This paper structure as follows:Chapterl,the research background and lay out some basic knowledge are introduced.Chapter 2,some common used methods of the one-dimensional Fredholm integral equation of the numerical solution are summarized and corresponding specific examples are given.Chapter 3,the Chebyshev-collocation method and the Legendre-collocation method are researched for two-dimomensional Fredholm integral equations.The results of error estimate are obtained.