Numerical solution for the systems of variable-coefficient coupled Burgers’ equation by two-dimensional Legendre wavelets method

Authors

Hossein Aminikhah, University of Guilan
Sakineh Moradian, University of Guilan

Abstract

In this paper, a numerical method for solving the systems of variable-coefficient coupled Burgers’ equation is proposed. The method is based on two-dimensional Legendre wavelets. Two-dimensional operational matrices of integration are introduced and then employed to find a solution to the systems of variable-coefficient coupled Burgers’ equation. Two examples are presented to illustrate the capability of the method. It is shown that the numerical results are in good agreement with the exact solutions for each problem.

Recommended Citation

Aminikhah, Hossein and Moradian, Sakineh (2014). Numerical solution for the systems of variable-coefficient coupled Burgers’ equation by two-dimensional Legendre wavelets method, Applications and Applied Mathematics: An International Journal (AAM), Vol. 9, Iss. 1, Article 22.
Available at: https://digitalcommons.pvamu.edu/aam/vol9/iss1/22