Numerical Simulation for Fredholm Integral Equation of the Second Kind

• 作者: Peng Guo
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Integral Equation FREDHOLM Gauss-Lobatto Numerical Method
• 年，卷（期）: 2020,（11）
• 页码范围: 2438-2446
• 页数: 9页
• 分类号: O17

摘要

This work mainly focuses on the numerical simulation of the Fredholm integral equation of the second kind. Applying the idea of Gauss-Lobatto quadrature formula, a numerical method is developed. For the integral item, we give an approximation with high precision. The existence condition of the solution for the Fredholm equation is given. Furthermore, the error analyses are presented. Finally, the numerical examples verify the theoretical analysis, and show the efficiency of the algorithm we discussed.