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318647

Similarity Transforming Techniques of Partial Differential Equations and its Applications: A review

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

Engineering

Abstract

The current paper is a review of some transformation techniques of partial differential equations (PDEs) using similarity techniques which have the ability to reduce the number of independent variables to be a single variable resulting in a simpler ordinary differential equation (ODEs). These techniques have the benefit to obtain some completely new solutions. The paper introduces a summary and literature review for method of characteristic lines, Bäcklund transformations, Cole-Hopf Transformation, Lie infinitesimals, Non-classical symmetry method, Potential Symmetry, direct methods and characteristic function method.

DOI

10.21608/dusj.2023.318647

Keywords

Partial differential equations, Transformation Methods, Similarity solutions

Authors

First Name

A. S.

Last Name

Rashed

MiddleName

-

Affiliation

Department of Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig university, Egypt. Faculty of Engineering, Delta University for Science and Technology, Gamasa, Egypt

Email

-

City

-

Orcid

-

First Name

M. M.

Last Name

Kassem

MiddleName

-

Affiliation

Department of Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig university, Egypt.

Email

-

City

-

Orcid

-

Volume

6

Article Issue

2

Related Issue

43625

Issue Date

2023-09-01

Receive Date

2023-09-25

Publish Date

2023-09-01

Page Start

168

Page End

181

Print ISSN

2636-3046

Online ISSN

2636-3054

Link

https://dusj.journals.ekb.eg/article_318647.html

Detail API

https://dusj.journals.ekb.eg/service?article_code=318647

Order

318,647

Type

Original research papers

Type Code

1,769

Publication Type

Journal

Publication Title

Delta University Scientific Journal

Publication Link

https://dusj.journals.ekb.eg/

MainTitle

Similarity Transforming Techniques of Partial Differential Equations and its Applications: A review

Details

Type

Article

Created At

28 Dec 2024