Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs

(in lingua inglese)

In this article, we have studied a numerical scheme to solve a one-dimensional parabolic PDEs subjected to nonlocal boundary conditions. This method is based on the Direct Chebyshev collocation method. In fact, we have developed the Chebyshev collocation method to obtain the approximate solutions of the parabolic PDEs subject to nonlocal boundary conditions. Good results confirm the accuracy of the presented method.