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On computing joint invariants of vector fields
(
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).
A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms
(
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.
Approximate analytic solutions of transient nonlinear heat conduction with temperature-dependent thermal diffusivity
(
Hindawi Publishing Corporation
, 2014 , Article)
A new approach for generating approximate analytic solutions of transient nonlinear heat conduction problems is presented. It is based on an effective combination of Lie symmetry method, homotopy perturbation method, finite ...
Embedding algorithms and applications to differential equations
(
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 ...
Impact of magnetic dipole on a thermally stratified ferrofluid past a stretchable surface
(
SAGE Publications Ltd
, 2019 , Article)
This article focuses on the characteristics of a magnetic dipole in a viscous ferrofluid induced by linear stretched surface. The analysis is disclosed by thermally stratified phenomenon and stagnation point. It is also ...
Theoretical analysis of upper-convected Maxwell fluid flow with Cattaneo-Christov heat flux model
(
Physical Society of the Republic of China
, 2017 , Article)
This paper discusses the mixed convection three-dimensional boundary layer flow of upper-convected Maxwell fluid over a stretching surface with Cattaneo-Christov heat flux model. Magnetohydrodynamic (MHD) combined with ...
Simultaneous solutions for first order and second order slips on micropolar fluid flow across a convective surface in the presence of Lorentz force and variable heat source/sink
(
Nature Publishing Group
, 2019 , Article)
This report presents the flow and heat transfer characteristics of MHD micropolar fluid due to the stretching of a surface with second order velocity slip. The influence of nonlinear radiation and irregular heat source/sink ...
Linearization of third-order ordinary differential equations u'''=f(x,u,u',u') via point transformations
(
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 ...
Analysis of ferrite nanoparticles in the flow of ferromagnetic nanofluid
(
Public Library of Science
, 2018 , Article)
Theoretical analysis has been carried out to establish the heat transport phenomenon of six different ferromagnetic MnZnFe2O4-C2H6O2 (manganese zinc ferrite-ethylene glycol), NiZnFe2O4-C2H6O2 (Nickel zinc ferrite-ethylene ...
Construction of S-Box based on chaotic map and algebraic structures
(
MDPI AG
, 2019 , Article)
The Advanced Encryption Standard (AES) is widely used in different kinds of security applications. The substitution box (S-box) is the main component of many modern symmetric encryption ciphers that provides confusion ...