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

Authors

  • Kobra Karimi Department of Mathematics, Buin Zahra Technical University, P.O. Box 34517-45346, Buin Zahra, Qazvin, Iran.
  • Mohsen Alipour Department of Mathematics, Faculty of Basic Science, Babol University of Technology, P.O. Box 47148-71167, Babol, Iran.
  • Marzieh Khaksarfard Department of Mathematics, Alzahra University, Tehran, Iran.

Keywords:

Parabolic partial differential equations, Non-local boundary conditions, Bernstein basis, Operational matrices

Abstract

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

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Published

2016-06-30

Issue

Vol. 48 No. 1 (2016)

Section

Articles

How to Cite

Numerical Solution of Nonlocal Parabolic Partial Differential Equation via Bernstein Polynomial Method. (2016). Punjab University Journal of Mathematics, 48(1), 45-51. https://pujm.pu.edu.pk/index.php/pujm/article/view/60