7 results for “Sami H. Altoum”

Research ArticleOpen accessIn the author namesq-Bernoulli’s EquationSalih Y. Arbab, Sami H. AltoumThe work shows the q-deformation of Bernoulli’s equation, q-derivative and q-calculus are used to form a q-analogous of Bernoulli’s equation. We introduce the theorem of q-Bernoulli’s equation. …American Journal of Applied Sciences, Vol. 17, Issue 1 · 4 Oct 2020 · 7,132 accessesView PDF Cite

Research ArticleOpen accessIn the author namesThe q-Riccati AlgebraAmna Hasan, Hakeem A. Othman, Sami H. AltoumFor q∈(0, 1), we introduce the q-Riccati Lie algebra. Using the q-derivative (or Jackson derivative), we give a representation of this Lie algebra. …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 14 Jan 2020 · 6,982 accessesView PDF Cite

Research ArticleOpen accessIn the author namesq-Euler Lagrange EquationAmna Hasan, Hakeem A. Othman, Sami H. AltoumIn this work, for q ∈ (0, 1), the q-deformation of Euler- Lagrange equation is studied; we use q-derivative (or Jackson derivative) to deduce a new formula of Euler- Lagrange equation. Some examples are presented. …American Journal of Applied Sciences, Vol. 16, Issue 9 · 22 Nov 2019 · 7,761 accessesView PDF Cite

Research ArticleOpen accessIn the author namesSolution of Second Order Ordinary Differential Equation Associated with Toeplitz and Stiffness MatricesSami H. AltoumIn this work we develop a technique solution of second order ordinary differential equation (integrating by parts) to reach to Toeplitz matrices and Stiffness matrix to solve O.D.Es. We investigate that solution numerically using finite difference method and we find the error between exact and numerical solution computed using finite element. …American Journal of Applied Sciences, Vol. 15, Issue 8 · 30 Oct 2018 · 7,452 accessesView PDF Cite

Research ArticleOpen accessIn the author namesq- sl2 and Associated Wave and Heat EquationsSami H. AltoumFor q∈(0, 1), the q- deformation of the sl2 Lie algebra (denoted by q-sl2) is introduced and we give its representation. The heat and wave equations associated to the genrators of the q-sl2 are studied. …American Journal of Applied Sciences, Vol. 15, Issue 5 · 12 May 2018 · 7,807 accessesView PDF Cite

Research ArticleOpen accessIn the author namesq-Deformation of Transonic Gas EquationSami H. AltoumIn this study, the transonic gas equation will be considered. For q∈(0,1), q-deformation of transonic gas equation (q-transonic) are studied, we use q- derivative (or Jackson derivative) to solve transonic gas equation. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 25 Apr 2018 · 7,276 accessesView PDF Cite