Following the proofs of denseness, the authors prove the existence of a solution of the integral equations in the space of functions A ∩ ℝ × [0, ], and provide an explicit novel algorithm based on Sinc approximation and Picard–like iteration for computing the solution. Additionally, the authors include appendices that provide a custom Mathematica program for computing solutions based on the explicit algorithmic approximation procedure, and which supply explicit illustrations of these computed solutions.