Article citationsMore>>

Appadu, A.R. (2013) Numerical Solution of the 1D Advection-Diffusion Equation Using Standard and Nonstandard Finite Difference Schemes. Hindawi Publishing Corporation Journal of Applied Mathematics, 2013, Article ID: 734374.

has been cited by the following article:

• TITLE: Numerical Solution of Advection Diffusion Equation Using Semi-Discretization Scheme

  AUTHORS: Khandoker Nasrin Ismet Ara, Md. Masudur Rahaman, Md. Sabbir Alam

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

  JOURNAL NAME: Applied Mathematics, Vol.12 No.12, December 30, 2021

  ABSTRACT: 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.