Browsing Academic by Author "Azad, H."

Now showing items 1-5 of 5

    • Embedding algorithms and applications to differential equations 

      Ali S.; Azad H.; Biswas I.; Ghanam R.; Mustafa M.T. ( Academic Press , 2018 , Article)
      Algorithms for embedding certain types of nilpotent subalgebras in maximal subalgebras of the same type are developed, using methods of real algebraic groups. These algorithms are applied to determine non-conjugate subalgebras ...

    • Higher order self-adjoint operators with polynomial coefficients 

      Azad, H.; Laradji, A.; Mustafa, M.T. ( Texas State University - San Marcos , 2017 , Article)
      We study algebraic and analytic aspects of self-adjoint operators of order four or higher with polynomial coefficients. As a consequence, a systematic way of constructing such operators is given. The procedure is applied ...

    • Invariant solutions of the Wave equation on static spherically symmetric spacetimes admitting G7 isometry algebra 

      AzadH.; AnayaK.; Al-DweikA.Y.; MustafaM.T. ( MDPIAG , 2018 , Article)
      Algorithms to construct the optimal systems of dimension of at most three of Lie algebras are given. These algorithms are applied to determine the Lie algebra structure and optimal systems of the symmetries of the wave ...

    • 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 ...

    • On computing joint invariants of vector fields 

      Azad, H.; Biswas, I.; Ghanam, R.; Mustafa, M.T. ( Elsevier , 2015 , Article)
      A constructive version of the Frobenius integrability theorem-that can be programmed effectively-is given. This is used in computing invariants of groups of low ranks and recover examples from a recent paper of Boyko etal. (2009).