Browsing by Author "Mahomed F.M."
Now showing items 1-5 of 5
-
A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms
Azad, H.; Al-Dweik, Ahmad Y.; Mahomed, F.M.; Mustafa, M.T. ( Elsevier Inc. , 2016 , Article)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. -
Invariant characterization of scalar third-order ODEs that admit the maximal point symmetry Lie algebra
Al-Dweik A.Y.; Mustafa M.T.; Mahomed F.M. ( John Wiley and Sons Ltd , 2018 , Article)The Cartan equivalence method is used to deduce an invariant characterization of the scalar third-order ordinary differential equation u"' = f(x, u, u', u"), which admits the maximal 7-dimensional point symmetry Lie algebra. ... -
Invariant characterization of third-order ordinary differential equations u''=f(x,u,u',u) with five-dimensional point symmetry group
Al-Dweik A.Y.; Mahomed F.M.; Mustafa M.T. ( Elsevier B.V. , 2019 , Article)The Cartan equivalence method is applied to provide an invariant characterization of the third-order ordinary differential equation u''=f(x,u,u',u') which admits a five-dimensional point symmetry Lie algebra. The invariant ... -
Invariants of third‐order ordinary differential equations y′′′=f(x,y,y′,y′′) via point transformations
Al-Dweik, Ahmad Y.; Mustafa, M. T.; Azad, H.; Mahomed, F. M. ( John Wiley and Sons Ltd , 2016 , Article)A new systematic method to find the relative invariant differentiation operators is developed. We incorporate this new approach with Lie's infinitesimal method to study the general class y′′′ = f(x, y, y′, y′′) under general ... -
Linearization of third-order ordinary differential equations u'''=f(x,u,u',u') via point transformations
Al-Dweik A.Y.; Mustafa M.T.; Mahomed F.M.; Alassar R.S. ( John Wiley and Sons Ltd , 2018 , Article)The linearization problem for scalar third-order ordinary differential equations via point transformations was solved partially in the works of Al-Dweik et al by the use of the Cartan equivalence method. In order to solve ...