Analytical and approximate solution of two-dimensional convection-diffusion problems

• Main Author: Hatıra Günerhan
• Format: Article
• Language: English
• Published: Balikesir University 2020-01-01
• Series: An International Journal of Optimization and Control: Theories & Applications
• Subjects: Reduced differential transform method (RDTM); nonhomogeneous convection-diffusion equation; two-dimensional convection-diffusion equation
• Online Access: http://www.ijocta.org/index.php/files/article/view/781

In this work, we have used reduced differential transform method (RDTM) to compute an approximate solution of the Two-Dimensional Convection-Diffusion equations (TDCDE). This method provides the solution quickly in the form of a convergent series. Also, by using RDTM the approximate solution of two-dimensional convection-diffusion equation is obtained. Further, we have computed exact solution of non-homogeneous CDE by using the same method. To the best of my knowledge, the research work carried out in the present paper has not been done, and is new. Examples are provided to support our work.