Numerical Solution of Nonlocal Parabolic Partial Differential Equation via Bernstein Polynomial Method

In this paper we apply an efficient approaches based on Bernsteinpolynomials to solve one-dimensional partial differential equations(PDEs) subject to the given nonlocal conditions. The main idea is basedon collocation and transforming the considered PDEs into their associatedalgebraic equations. Numerical results are presented through the illustrativegraphs which demonstrate good accuracy