Title: Computational method for one-dimensional heat equation subject to non-local conditions
Authors: Mahmoud Behroozifar
Addresses: Faculty of Science, Babol Noshirvani University of Technology, Babol, Iran
Abstract: In this paper, a method based on Bernstein polynomial is proposed for numerical solution of an one-dimensional heat equation subject to non-local boundary conditions. Properties of Bernstein polynomial and operational matrices of integration, differentiation and the product are stated and utilised to reduce the solution of the given elliptic partial differential equation to the solution of the system of algebraic equations. Illustrative numerical tests are given to compare the efficiency and accuracy of the new method with other methods.
Keywords: heat equation; Bernstein polynomial; operational matrix; numerical methods; non-local boundary conditions.
International Journal of Computing Science and Mathematics, 2017 Vol.8 No.2, pp.157 - 165
Accepted: 24 Sep 2016
Published online: 21 Apr 2017 *