Browsing by Author "Al-Dweik, Ahmad Y."
Now showing items 1-4 of 4
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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. -
Closed form solution of nonlinear oscillation of a cantilever beam using λ-symmetry linearization criteria
Mara'Beh, Raed Ali; Al-Dweik, Ahmad Y.; Yilbas, B.S.; Sunar, M. ( Elsevier , 2022 , Article)A mechanical system, in general, undergoes vibrational motion when the system is subjected to a tension or an external force. One of the examples of such a system is a cantilever beam when it is exposed to a bending action. ... -
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 ... -
A novel procedure for constructing invariant subspaces of a set of matrices
Al-Dweik, Ahmad Y.; Ghanam, Ryad; Thompson, Gerard; Azad, Hassan ( Springer , 2022 , Article)A problem that is frequently encountered in a variety of mathematical contexts is to find the common invariant subspaces of a single or of a set of matrices. A new method is proposed that gives a definitive answer to this ...