Zobrazeno 1 - 10
of 222
pro vyhledávání: '"Fazal M Mahomed"'
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100872- (2024)
This paper presents the Sumudu transform method and its hybrid for the construction of solutions of differential equations, both with integer-order and fractional derivatives. The paper discusses the construction of solutions of fractional differenti
Externí odkaz:
https://doaj.org/article/616fb73f00a749e29501d3b5799b44dc
Publikováno v:
Mathematical and Computational Applications, Vol 28, Iss 5, p 96 (2023)
We used the classical Lie symmetry method to study the damped Klein–Gordon equation (Kge) with power law non-linearity utt+α(u)ut=(uβux)x+f(u). We carried out a complete Lie symmetry classification by finding forms for α(u) and f(u). This led to
Externí odkaz:
https://doaj.org/article/ca23744124844bfdb778182859d4ed66
Publikováno v:
South African Journal of Science, Vol 117, Iss 1/2 (2021)
Externí odkaz:
https://doaj.org/article/a29a60f5ff014501806156c7edde3114
Publikováno v:
International Journal of Geometric Methods in Modern Physics.
A constructive procedure is given to determine all ideals of a solvable Lie algebra. This is used in determining algorithmically all conjugacy classes of subalgebras of a given solvable Lie algebra.
Final version
Final version
Publikováno v:
Proceedings - Mathematical Sciences. 132
Autor:
Fazal M. Mahomed, A. G. Johnpillai
Publikováno v:
Quaestiones Mathematicae. 45:1545-1558
We utilise the invariant method for scalar linear (1+1) parabolic partial differential equations so as to effect reductions via invertible transformations to Lie canonical forms of the first and thir...
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:9373-9392
The existing literature discusses different strategies to solve a scalar ordinary differential equation using Lie point symmetries. We focus on three of these strategies in order to frame methods for finding solutions of non-linear systems of ordinar
Publikováno v:
Symmetry, Vol 11, Iss 10, p 1244 (2019)
The aim of the present work is to classify the Noether-like operators of two-dimensional physical systems whose dynamics is governed by a pair of Lane-Emden equations. Considering first-order Lagrangians for these systems, we construct corresponding
Externí odkaz:
https://doaj.org/article/1a67bc721e48415d909d959b81728253
Publikováno v:
Mathematical Problems in Engineering, Vol 2021 (2021)
The complete integration of scalar fourth-order ODEs with four-dimensional symmetry algebras is performed by utilizing Lie’s method which was invoked to integrate scalar second-order ODEs admitting two-dimensional symmetry algebras. We obtain a com
Autor:
Rehana Naz, Fazal M. Mahomed
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:4467-4478