A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms

H. Azad; Ahmad Y. Al-Dweik; F. M. Mahomed; M. T. Mustafa

doi:10.1016/j.amc.2016.05.035

A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms

H. Azad
, Ahmad Y. Al-Dweik
, F. M. Mahomed^*
, M. T. Mustafa

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We provide an algorithmic approach to the construction of point transformations for scalar ordinary differential equations that admit three-dimensional symmetry algebras which lead to their respective canonical forms.

Original language	English
Pages (from-to)	444-463
Number of pages	20
Journal	Applied Mathematics and Computation
Volume	289
DOIs	https://doi.org/10.1016/j.amc.2016.05.035
State	Published - 20 Oct 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc. All rights reserved.

Keywords

Canonical forms
ODEs
Point transformations
Three-dimensional symmetry algebras

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.amc.2016.05.035

Cite this

@article{60df26a56b034bca8566857d172fff5b,

title = "A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms",

abstract = "We provide an algorithmic approach to the construction of point transformations for scalar ordinary differential equations that admit three-dimensional symmetry algebras which lead to their respective canonical forms.",

keywords = "Canonical forms, ODEs, Point transformations, Three-dimensional symmetry algebras",

author = "H. Azad and Al-Dweik, \{Ahmad Y.\} and Mahomed, \{F. M.\} and Mustafa, \{M. T.\}",

year = "2016",

month = oct,

day = "20",

doi = "10.1016/j.amc.2016.05.035",

language = "English",

volume = "289",

pages = "444--463",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms

AU - Azad, H.

AU - Al-Dweik, Ahmad Y.

AU - Mahomed, F. M.

AU - Mustafa, M. T.

PY - 2016/10/20

Y1 - 2016/10/20

N2 - We provide an algorithmic approach to the construction of point transformations for scalar ordinary differential equations that admit three-dimensional symmetry algebras which lead to their respective canonical forms.

AB - We provide an algorithmic approach to the construction of point transformations for scalar ordinary differential equations that admit three-dimensional symmetry algebras which lead to their respective canonical forms.

KW - Canonical forms

KW - ODEs

KW - Point transformations

KW - Three-dimensional symmetry algebras

UR - https://www.scopus.com/pages/publications/84973316013

U2 - 10.1016/j.amc.2016.05.035

DO - 10.1016/j.amc.2016.05.035

M3 - Article

AN - SCOPUS:84973316013

SN - 0096-3003

VL - 289

SP - 444

EP - 463

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this