Work

Higher Order Approximation of Advection Diffusion Equation by Semi-Discretization Method

Year: 2025

Type: article

Abstract: A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and fourth orders are used to solve the system of ODEs. We compute the ADE numerically for initial and boundary conditions, for which the exact solution is known. In the semi-discretization approach, we estimate the error for both the second and fourth-order Runge-Kutta schemes. The semi-discretization method’s outcome is contrasted with the ADE’s numerical solution derived from the complete discretization explicit centered difference scheme.

Source: American Journal of Computational Mathematics

DOI: 10.4236/ajcm.2025.153013

Authors: Khandoker Nasrin Ismet Ara, Md. Sabbir Alam, Laek Sazzad Andallah

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412764626

FWCI:

Cites: 8

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Related to: 10