Document Type

Article

Publication Date

10-1-2016

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

We propose a piecewise linear approximation method, based on the maximum entropy principle, to approximate a nonnegative solution of a Fredholm integral equation numerically. The theoretical analysis and numerical examples show that our method has a convergence rate of order 2, and it can get more accurate approximations with more moments used without ill-condition of the classic maximum entropy approach. The method can also be applied to solve Fredholm integral equations with singular kernels.

Comments

© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.

Publication Title

Journal of Computational and Applied Mathematics

Volume

304

First Page

130

Last Page

137

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