Article ID Journal Published Year Pages File Type
4637974 Journal of Computational and Applied Mathematics 2016 8 Pages PDF
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 22, 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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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