I. Aziz, S., M. Taha, W., A. Hameed, R., M. Taha, I. (2018). New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method. , 23(2), 143-147.
Seham I. Aziz; Wafaa M. Taha; Raad A. Hameed; Ibrahem M. Taha. "New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method". , 23, 2, 2018, 143-147.
I. Aziz, S., M. Taha, W., A. Hameed, R., M. Taha, I. (2018). 'New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method', , 23(2), pp. 143-147.
I. Aziz, S., M. Taha, W., A. Hameed, R., M. Taha, I. New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method. , 2018; 23(2): 143-147.

New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method

Tikrit Journal of Pure Science
Article 1, Volume 23, Issue 2, 2018, Pages 143-147
Authors
Seham I. Aziz; Wafaa M. Taha; Raad A. Hameed; Ibrahem M. Taha
Abstract
Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for a nonlinear diffusion–convection equation. The tanh method is applied for the first time for finding travelling wave solutions for the nonlinear diffusion–convection equation u_t=(〖u^m)〗_xx+(u^n )_x, where n and m, are integers, and n≥m>1, of order (m=4, n=7) and (m=5, n=9). Analytical solutions of a nonlinear diffusion–convection equations are obtained as a polynomial in tanh(x), and the plots for exact solutions are given. The obtained results are compared with F-Expansion method to validate the proposed approach.
Keywords
Tanh method; Traveling wave solutions; diffusion
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