Numerical methods for Fredholm integral equations on the square

作者：Occorsio Donatella; Russo Maria Grazia^*

来源：Applied Mathematics and Computation, 2011, 218(5): 2318-2333.

DOI：10.1016/j.amc.2011.07.053

• Fredholm integral equations
• Projection methods
• Nystrom method

In this paper we shall investigate the numerical solution of two-dimensional Fredholm integral equations by Nystrom and collocation methods based on the zeros of Jacobi orthogonal polynomials. The convergence, stability and well conditioning of the method are proved in suitable weighted spaces of functions. Some numerical examples illustrate the efficiency of the methods.

• 出版日期2011-11-1