Automatic solution of nonlinear integral equations

Abstract

An automatic method for obtaining the numerical solution of a class of nonlinear integral equations is described. An imbedding method is used to obtain the initial-value equations to be integrated. The derivatives required for the solution are computed automatically. The user need only enter the two known functions into the program. None of the derivatives associated with the imbedding method need be derived by hand. Examples with numerical results and a complete program listing are given.