Open AccessNumerical Solutions of Unsteady Advection-Diffusion Equations by Using EG Iteration with Wave Variable Transformation
Author(s) -
Nur Afza Mat Ali,
Rostang Rahman,
Jumat Sulaiman,
Khadizah Ghazali
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1358/1/012049
Subject(s) - mathematics , discretization , transformation (genetics) , iterative method , mathematical analysis , matrix similarity , mathematical optimization , partial differential equation , biochemistry , chemistry , gene
The primary goal of this paper is to investigate the effectiveness of the 4-point Explicit Group (4-point EG) iterative method for solving one-dimensional unsteady advection-diffusion problems via similarity transform. By using this transformation approach, the proposed problem can be reduced into the corresponding two-point boundary volume problem. By imposing the second-order central finite difference discretization scheme, then the corresponding approximation equation can be derived to construct a system of linear equations. Having a large linear system, the 4-point EG iterative method has been used to solve the generated system of linear equations. The formulation of the 4-point EG method is also derived. Some numerical experiments are conducted that to verify the 4-point EG method is more effective than the Gauss-Seidel (GS) method.