On using sinc collocation approach for solving a parabolic PDE with nonlocal boundary conditions

Abstract

This work suggests a simple method based on a sinc approximation at sinc nodes for solving parabolic partial differential equations with nonlocal boundary conditions. Sinc approximation are typified by errors of the form O ( e−k/h ) , where k > 0 is a constant and h is a step size. Some numerical examples are utilized to reveal the efficaciousness and precision of this method. The suggested method is flexible, easy to programme and efficient.