Technical report: numerical solution of nonlocal partial differential equation using Bernstein polynomial method / Anis Farhanah Mohd Padang and Nurhazirah Mohd Puzi

This research discusses about numerical method for solving one-dimensional parabolic partial differential equation (heat equation) subject to non-classical conditions based on Bernstein polynomial method with its properties. Some continuous function with higher even order cannot be solved directly with a common methods such as least square methods, Euler's method, Bisection method and eigenfunction expansion method. Thus, Bernstein polynomial can be used to solve the continuous function at higher even-order due to their special properties. In addition, the heat equation will be solved with different degree of Bernstein polynomials by using MATLAB and the result will be presented through the illustrative graph.