Iterative Solution of Homogeneous Integral Equations
Abstract
A method is proposed for solving homogeneous Fredholm integral equations of kind which relies on rewriting such equations as equivalent inhomogeneous Fredholm integral equations of the second kind with "weaker" kernels. Then the usual techniques for solving inhomogeneous equations can be used in the present case. In particular a recently proposed method for iterative Neumann series solution of inhomogeneous equations appears to be natural and very suitable for this purpose. The method is illustrated numerically using the iterative Neumann series solution of the equivalent inhomogeneous equation.
 Publication:

Journal of Computational Physics
 Pub Date:
 September 1981
 DOI:
 10.1016/00219991(81)901182
 Bibcode:
 1981JCoPh..43..189A