Author

Sami H. Altoum

Department of Mathematics, AL-Qunfudhah University College, Umm Al-Qura University, Saudi Arabia

6 articles in our journals

Articles where this person is an author, newest first. People are matched by their name as printed (no ORCID iD is recorded for them), not by name alone; search the name as text to find namesakes too.

Research ArticleOpen accessq-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 · 7,127 accessesView PDF Cite

Research ArticleOpen accessThe 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 · 6,980 accessesView PDF Cite

Research ArticleOpen accessq-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 · 7,757 accessesView PDF Cite

Research ArticleOpen accessSolution 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 · 7,448 accessesView PDF Cite

Research ArticleOpen accessq- 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 · 7,803 accessesView PDF Cite

Research ArticleOpen accessq-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 · 7,272 accessesView PDF Cite