Solution of nonlinear integral equations using on-line computer control

Abstract

Experiments have been carried out using on-line control of a digital computer to obtain solutions for certain non-linear integral equations. The computer program did not anticipate any particular method of solution; each user constructed his own method during the solution process. Easy cases, those for which the straight-forward iteration converges, were solved with half as many iterations. Difficult cases that were both globally and locally divergent were solved through careful control by the problem solver. Photographs displaying the solution process for two sample cases are included.