Numerical Simulation for Fredholm Integral Equation of the Second Kind  

作　　者：Peng Guo Peng Guo(The Business School, Shanghai Dianji University, Shanghai, China;Lingang Innovation Management Institute, Shanghai, China)

机构地区：[1]The Business School, Shanghai Dianji University, Shanghai, China [2]Lingang Innovation Management Institute, Shanghai, China

出　　处：《Journal of Applied Mathematics and Physics》2020年第11期2438-2446,共9页应用数学与应用物理（英文）

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.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.

关 键 词：Integral Equation FREDHOLM Gauss-Lobatto Numerical Method 

分 类 号：O17[理学—数学]