Singular Hammerstein-Volterra Integral Equation and Its Numerical Processing

• 作者: A. M. Al-Bugami
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Integral Equation HAMMERSTEIN Logarithmic Kernel
• 年，卷（期）: 2021,（2）
• 页码范围: 379-390
• 页数: 12页
• 分类号: O17

摘要

In this paper, the existence and uniqueness of solution of singular Hammerstein-Volterra integral equation (<strong>H-VIE</strong>) are considered. Toeplitz matrix (<strong>TMM</strong>) and product Nystrom method (<strong>PNM</strong>) to solve the <strong>H-VIE</strong> with singular logarithmic kernel are used. The absolute error is calculated.