Singular Hammerstein-Volterra Integral Equation and Its Numerical Processing  

作　　者：A. M. Al-Bugami A. M. Al-Bugami(Department of Mathematics, Faculty of Sciences, Taif University, Taif, KSA)

机构地区：[1]Department of Mathematics, Faculty of Sciences, Taif University, Taif, KSA

出　　处：《Journal of Applied Mathematics and Physics》2021年第2期379-390,共12页应用数学与应用物理（英文）

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.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.

关 键 词：Integral Equation HAMMERSTEIN Logarithmic Kernel 

分 类 号：O17[理学—数学]