Hammerstein型非线性积分方程的一种数值新方法
A New Numerical Method for a Nonlinear Integral Equation of Hammerstein Type
摘要: 本文提出了一种新的Hammerstein型非线性积分方程的数值方法，主要基于泰勒级数展开和分段逼近的思想，给出了Hammerstein型非线性积分方程的离散化方案，分析了逼近解的收敛性和误差估计，并通过数值模拟验证了该方法的可行性和有效性，具有很好的研究与参考价值。
Abstract: This paper presents a new numerical method for a nonlinear integral equation of Hammerstein type. Based on the thought of Taylor series expansion and piecewise approximation, a discretization format for the nonlinear integral equation of Hammerstein type is made, and the convergence and error estimate of the approximation solution are given. The feasibility and validity of this method are verified by numerical simulation. It has good research and reference value.
文章引用：张利花, 廖珊莉, 吴远波. Hammerstein型非线性积分方程的一种数值新方法[J]. 应用数学进展, 2018, 7(4): 348-355. https://doi.org/10.12677/AAM.2018.74043

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