Lie symmetries and partial differential equations (PDEs)
Author
Source
Issue
Vol. 11, Issue 4 (31 Dec. 2016), pp.80-89, 10 p.
Publisher
University of Thi-Qar Research and Development Department
Publication Date
2016-12-31
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Topics
Abstract EN
There are many well-known techniques for obtaining exact solutions for differential equations, but many of them are simply special cases of a few powerful symmetry methods.
Lie symmetry methods are techniques for finding exact solutions of a wide variety of differential equations.
In this paper, we discuss the use of Lie symmetries on PDEs of order two in two independent variables and show how they can be used to transform the governing equation into another equation with one less independent variable.
In addition, for our case study we consider the PDE(the bond-pricing equation) and solve the equation using Lie symmetry methods
American Psychological Association (APA)
al-Nassar, Samar Kazim. 2016. Lie symmetries and partial differential equations (PDEs). University of Thi-Qar Journal،Vol. 11, no. 4, pp.80-89.
https://search.emarefa.net/detail/BIM-779306
Modern Language Association (MLA)
al-Nassar, Samar Kazim. Lie symmetries and partial differential equations (PDEs). University of Thi-Qar Journal Vol. 11, no. 4 (Dec. 2016), pp.80-89.
https://search.emarefa.net/detail/BIM-779306
American Medical Association (AMA)
al-Nassar, Samar Kazim. Lie symmetries and partial differential equations (PDEs). University of Thi-Qar Journal. 2016. Vol. 11, no. 4, pp.80-89.
https://search.emarefa.net/detail/BIM-779306
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 98
Record ID
BIM-779306