On a method of Bownds for solving Volterra integral equations

An initial-value method of Bownds for solving Volterra integral equations is reexamined using a variable-step integrator to solve the differential equations. It is shown that such equations may be easily solved to an accuracy ofO(10^–8), the error depending essentially on that incurred in truncating expansions of the kernel to a degenerate one.This work was sponsored by a University of Nevada at Las Vegas Research Grant.