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221399

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

Article

Last updated: 28 Dec 2024

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Subjects

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Tags

Mathematics and Computer Science

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.

DOI

10.21608/aunj.2017.221399

Keywords

convection equation, diffusion equation, Lie group, similarity transformation, invariant solution

Volume

46

Article Issue

1

Related Issue

31576

Issue Date

2017-06-01

Receive Date

2022-02-23

Publish Date

2017-06-01

Page Start

1

Page End

12

Print ISSN

2812-5029

Online ISSN

2812-5037

Article File

AUNJ_Volume 46_Issue 1_Pages 1-12.pdf

PDF . 548.1kB

Link

https://aunj.journals.ekb.eg/article_221399.html

Detail API

https://aunj.journals.ekb.eg/service?article_code=221399

Order

221,399

Type

Novel Research Articles

Type Code

2,242

Publication Type

Journal

Publication Title

Assiut University Journal of Multidisciplinary Scientific Research

Publication Link

https://aunj.journals.ekb.eg/

MainTitle

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

Details

Type

Article

Created At

23 Jan 2023