The convection-diffusion equation containing a reaction term will be discussed and evaluated in this article. First, we will apply an implied alternating-direction (ADI) scheme similar to that suggested by Polezhaev. The application of a tridiagonal Thomas solver to obtain the solution of a steady convection-diffusion equation with reaction enables the use of this implicit operator-splitting scheme. We will use the improved (G ‘/ G) -expansion method to construct the traveling wave solutions according to the unstable case, where (G’ / G) meets a second order linear ordinary differential equation. We will explore new applications of this technique to some special nonlinear equation of convection-diffusion with reaction in this paper. The new form of precise moving wave solution obtained in this article may have a major impact on future study.
Author (s) Details
Dr. M. A. Ashabrawy
Computer Department, Community College, Salman bin Abdulaziz University, KSA and Reactors Department, Computer Group, Atomic Energy Authority, Egypt.
E. E. El-Behadi
Mathematics Department, College of Science and Humanity Studies, Salman bin Abdulaziz University, KSA.
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