Author(s)

Khandoker Nasrin Ismet Ara¹, Md. Masudur Rahaman², Md. Sabbir Alam¹

¹Department of Mathematics, Jahangirnagar University, Savar, Bangladesh.
²Department of Mathematics, Patuakhali Science & Technology University, Dumki Upazila, Bangladesh.

Numerical diffusion and oscillatory behavior characteristics are averted applying numerical solutions of advection-diffusion equation are themselves immensely sophisticated. In this paper, two numerical methods have been used to solve the advection diffusion equation. We use an explicit finite difference scheme for the advection diffusion equation and semi-discretization on the spatial variable for advection-diffusion equation yields a system of ordinary differential equations solved by Euler’s method. Numerical assessment has been executed with specified initial and boundary conditions, for which the exact solution is known. We compare the solutions of the advection diffusion equation as well as error analysis for both schemes.

Advection Diffusion Equation, Finite Difference Scheme, Semi-Discretization, Rate of Convergence, Error Analysis

Ara, K. , Rahaman, M. and Alam, M. (2021) Numerical Solution of Advection Diffusion Equation Using Semi-Discretization Scheme. Applied Mathematics, 12, 1236-1247. doi: 10.4236/am.2021.1212079.