The College of Education for Pure Sciences, Department of Mathematics, University of Basrah , organized a scientific lecture entitled (Comparison of approximate analytical methods for the convective diffusion equation)
The lecture presented by the student (Zeina Abdel-Kadhim Hassan) included
Comparison of approximate analytical methods for convective diffusion equation
In this episode, we presented a comparative study between a new approach we proposed to improve and develop the reduced differential transform algorithm and other methods found in the literature to solve some linear and nonlinear two-dimensional load-diffusion equations. The new approach relied on combining the method of reduced differential transformation, Yang's transformation, and Badian approximation to produce an effective hybrid algorithm, which was applied to solve the two-dimensional linear load-diffusion equation, the biological population model, the two-dimensional system of Berger's equations, and the two-dimensional Navier-Stokes equations. This approach was obtained by using the standard method: differential reduced transfer and other methods available in the literature. The results are presented in tables and graphs. The results obtained indicate the validity, usefulness and importance of the new approach. Moreover, the accuracy and convergence of the new solutions are discussed. Finally, it can be concluded that the proposed approach is a powerful and useful tool that has the ability to solve the proposed two-dimensional linear and nonlinear load-diffusion equations, which reflects the realization of the main objective of this study.