(2017). EXACT SOLUTIONS OF THE ONE-DIMENSIONAL CONVECTION-DIFFUSION EQUATION USING LIE GROUP METHOD. test, 46(1), 1-12. doi: 10.21608/aunj.2017.221399
. "EXACT SOLUTIONS OF THE ONE-DIMENSIONAL CONVECTION-DIFFUSION EQUATION USING LIE GROUP METHOD". test, 46, 1, 2017, 1-12. doi: 10.21608/aunj.2017.221399
(2017). 'EXACT SOLUTIONS OF THE ONE-DIMENSIONAL CONVECTION-DIFFUSION EQUATION USING LIE GROUP METHOD', test, 46(1), pp. 1-12. doi: 10.21608/aunj.2017.221399
EXACT SOLUTIONS OF THE ONE-DIMENSIONAL CONVECTION-DIFFUSION EQUATION USING LIE GROUP METHOD. test, 2017; 46(1): 1-12. doi: 10.21608/aunj.2017.221399

EXACT SOLUTIONS OF THE ONE-DIMENSIONAL CONVECTION-DIFFUSION EQUATION USING LIE GROUP METHOD

Assiut University Journal of Multidisciplinary Scientific Research
Volume 46, Issue 1, June 2017, Pages 1-12    PDF (535.22 K)
Document Type: Novel Research Articles
DOI: 10.21608/aunj.2017.221399
Abstract
Lie symmetry group analysis is applied to determine the exact solution of the one-dimensional convection-diffusion equation.  The similarity transformation is found using symmetries, and the invariant solution of the original partial differential equation (PDE) is produced from the solution of transformed ordinary differential equation (ODE). The analytical solutions are obtained using symmetries and summarized in tabulated form.
Keywords
convection equation; diffusion equation; Lie group; similarity transformation; invariant solution
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