Numerical methods for Fredholm integral equations with singular right-hand sides
The paper is devoted to the problem of numerical solving of Fredholm integral equations with right-hand sides having singularities at the endpoints. These singularities are replaced into the regularized kernel. The developed equation is solved by the Nyström method. Convergence, stability and well conditioning of the studied method in spaces of weighted continuous functions are proved. The special case of a weakly singular and symmetric kernel is also investigated. Numerical tests close the paper.
scientific article; zbMATH DE number 5799382
scientific article