Solution of Boundary Value Problems by Integral Equations of the First Kind

Abstract

This paper discusses an integral equation procedure for the solution of boundary value problems. The method derives from work of Fichera and differs from the more usual one by the use of integral equations of the first kind. The method here extends to equations of higher order than second. Its connection with singular perturbation theory and thin-body theory are indicated by examples. Some numerical experiments are included to indicate how the method operated in specific situations.