Author(s)

Peng Guo^1,2

¹The Business School, Shanghai Dianji University, Shanghai, China.
²Lingang Innovation Management Institute, Shanghai, China.

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.

Integral Equation, Fredholm, Gauss-Lobatto, Numerical Method

Guo, P. (2020) Numerical Simulation for Fredholm Integral Equation of the Second Kind. Journal of Applied Mathematics and Physics, 8, 2438-2446. doi: 10.4236/jamp.2020.811180.