Approximate solution of Fredholm integral equations by the maximum‐entropy method
Approximate solution of Fredholm integral equations by the maximum‐entropy method
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DOI：
10.1063/1.527267
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发表时间：
1986-12
影响因子：
1.3
通讯作者：
L. Mead
中科院分区：
文献类型：
--
作者：
L. Mead
给出了用极大熵方法求解Fredholm积分方程的一种近似方法。Fredholm积分方程被转化为广义矩问题，其最大熵方法的近似解已在Mead和Papanicolaou的先前论文中成功实现[L. R. Mead和N. Papanicolaou，J.Math.Phys.25，2404（1984）]。给出了第一类和第二类以及Wiener-Hopf型Fredholm积分方程的近似最大熵解的几个显式例子。讨论了该方法的优缺点。
An approximate means of solving Fredholm integral equations by the maximum‐entropy method is developed. The Fredholm integral equation is converted to a generalized moment problem whose approximate solution by maximum‐entropy methods has been successfully implemented in a previous paper by Mead and Papanicolaou [L. R. Mead and N. Papanicolaou, J. Math. Phys. 25, 2404 (1984)]. Several explicit examples are given of approximate maximum‐entropy solutions of Fredholm integral equations of the first and second kinds and of the Wiener–Hopf type. Both the weaknesses and strengths of the method are discussed.