An Efficient Numerical Scheme for Coupled Nonlinear Burgers’ Equations

Authors

Maryam Sarboland, Faculty of Mathematics, Department of Applied Mathematics, K. N. Toosi University of Technology, 16315-1618, Tehran, IranFollow
Azim Aminataei, Faculty of Mathematics, Department of Applied Mathematics, K. N. Toosi University of Technology, 16315-1618, Tehran, IranFollow

Author Country (or Countries)

Iran

Abstract

In this paper, coupled nonlinear Burgers’ equations are solved through a variety of meshless methods known as multiquadric quasi-interpolation scheme. In this scheme, the extension of univariate quasi-interpolation method is used to approximate the unknown functions and their spatial derivatives and the Taylor series expansion is used to discretize the temporal derivatives. The multiquadric quasi-interpolation scheme is a one-dimensional method that can be extend to the two-dimensional by converting to a compact form and using of a tensor product scheme. The method is tested on three experiments to show the efficiency and accuracy of it. Also, we demonstrate the validity and applicability of our method by error analysis technique based on residual function.

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090130

Recommended Citation

Sarboland, Maryam and Aminataei, Azim (2015) "An Efficient Numerical Scheme for Coupled Nonlinear Burgers’ Equations," Applied Mathematics & Information Sciences: Vol. 09: Iss. 1, Article 37.
DOI: http://dx.doi.org/10.12785/amis/090130
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss1/37