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120 articles for “Differential Equations”
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Research ArticleOpen accessIn the abstractCoupled Pettis-Hadamard Fractional Differential Systems with Retarded and Advanced ArgumentsSaïd Abbas, Mouffak Benchohra, Seenith SivasundaramIn this study, we present some results concerning the existence of weak solutions for some coupled systems of Hadamard fractional differential equations involving the both retarded and advanced arguments. Our results are obtained by using fixed point theory and the technique of measure of weak noncompactness. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 10 Feb 2018 · 7,492 accessesView PDFCite
Research ArticleOpen accessIn the abstractHeat Generation/Absorption Effect on Natural Convection Flow in a Vertical Annulus with Time-Periodic Boundary ConditionsMichael O. Oni, Basant K. JhaThe role of heat generation/absorption on natural convection flow formation in a vertical annulus with prescribed time-periodic heating is investigated in this article. The governing continuity, momentum and energy equations are converted into ordinary differential equation using suitable transformations and closed form expressions are obtained for temperature distribution, velocity profile, Nusselt number, skin friction and mass flow rate in terms … …Journal of Aircraft and Spacecraft Technology, Vol. 3, Issue 1 · 27 Jul 2019 · 6,340 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe ‘Celalettin-Field Quantum Observation Tunnel’ a Quantum Communication Countermeasure Speculative StructureM. Celalettin, H. KingThe ‘Celalettin-Field Quantum Observation Tunnel’ (COT) is a speculative structure produced in an ensemble of Orbital Angular Momentum (OAM) polarized outer ‘s’ shell electrons, whereby an incoming photon, depolarizes ‘s’ shell electrons as it burrows through the ensemble, creating a tunnel. The depolarized particles when viewed as a single quantum system can theoretically be used to acquire information on the … …American Journal of Engineering and Applied Sciences, Vol. 12, Issue 1 · 6 Apr 2019 · 7,945 accessesView PDFCite
Research ArticleOpen accessIn the abstractExploring Mesh Generation and Quality Enhancement with Open Source CodesLeandro Alves Neves, José Márcio Machado, Julio Cesar Momente et al.The finite element method is a very reliable and precise technique for solving partial differential equations in three-dimensional domains, with relevant applications in several areas. However, 3D simulations by FEM require computer programs for solid modeling and automatic mesh generation and there are few examples of open source codes available and dedicated to these tasks. Unfortunately, these open source codes … …Journal of Computer Science, Vol. 14, Issue 7 · 19 Jul 2018 · 8,365 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe SEIR Dynamical Transmission Model of Dengue Disease with and Without the Vertical Transmission of the VirusPratchaya Chanprasopchai, I. Ming Tang, Puntani PongsumpunThe transmission of dengue disease when there is a possibility of Vertical Transmission (VT) is studied using mathematical modeling. In the normal case, the mosquito is infected by the dengue virus when it bites an infectious human being. Evidence is gathering that the mosquitoes can also be infected through sexual contact with infected male mosquito. To see the possible consequence … …American Journal of Applied Sciences, Vol. 14, Issue 12 · 2 Jan 2018 · 9,061 accessesView PDFCite
Research ArticleOpen accessIn the abstractFree Vibration Analysis of Rectangular Cantilever Plates Using the Hyperbolic-Trigonometric SeriesMikhail V. Sukhoterin, Sergey O. Baryshnikov, Dmitry A. AksenovThe purpose of this paper is to develop a numerical analytical method for an accurate solution to the problem on frequencies and mode shapes of a rectangular cantilever plate. The problem is reduced to an infinite system of linear algebraic equations relative to ratios of trigonometric series, which contains vibration frequency as a parameter. The core of the method is … …American Journal of Applied Sciences, Vol. 13, Issue 12 · 23 Dec 2016 · 7,288 accessesView PDFCite
Research ArticleOpen accessIn the abstractDirect Shocks in Vibrationally Nonequilibrium Diatomic Gases at Various Distances from Critical Cross-Section of NozzleRydalevskaya Maria Alexandrovna, Voroshilova Yulia Nikolaevna, Uskov Vladimir NikolaevichThe high-temperature diatomic gas flows are considered in expanding nozzles under the conditions of a disturbance of the equilibrium distribution over vibrational levels of the molecules. The investigation of such flows is bound up with the problem of the inversion of the vibrational populations in the active mediums of molecular lasers. Under diverse values of the pressure overfall on coming … …American Journal of Applied Sciences, Vol. 11, Issue 11 · 7 Jan 2015 · 6,655 accessesView PDFCite
Research ArticleOpen accessIn the abstractFREE CONVECTION OF HEAT TRANSFER IN FLOW PAST A SEMI-INFINITE FLAT PLATE IN TRANSVERSE MAGNETIC FIELD WITH HEAT FLUXP. Geetha, M.B.K. Moorthy, M. DakshinamoorthyA steady two-dimensional MHD free convection of heat transfer in flow past a semi-infinite flat plate in transverse magnetic field with heat flux has been examined. The governing partial differential equation are non-dimensionalised and transformed into a system of nonlinear ordinary differential similarity equations, in a single independent variable η and using Runge-Kutta Gill method with shooting technique. The velocity … …American Journal of Applied Sciences, Vol. 11, Issue 9 · 4 Jul 2014 · 7,064 accessesView PDFCite
Research ArticleOpen accessIn the abstractON SOLUTIONS IN THE HYDRODYNAMIC APPROXIMATION OF SOLAR AND STELLAR WINDS WITH VISCOSITYPanagiotis N. Koumantos, Panaiotis K. Pavlakos, Xenophon D. MoussasIn this article we present some results in existence and uniqueness of strong and classical solutions of the hydrodynamic equations modeling solar and stellar winds. The system of Navier-Stokes equations for solar and stellar winds is considered in its corresponding differential evolution equation form (d/dt+A)υ(t) = F(υ(t), t), where F is a given non-linear function and -A is the infinitesimal … …Physics International, Vol. 5, Issue 2 · 30 May 2014 · 7,556 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHE NUMERICAL VALUES OF THE FUNDAMENTAL PARAMETERS OF THE MODEL OF SELFVARIATIONS AND THE AGE OF THE UNIVERSEEmmanuil ManousosThe law of selfvariations determines quantitatively a slight increase of the rest masses and the electric charges of material particles as a common cause of quantum and cosmological phenomena. At cosmological scales the law of selfvariations can be expressed by two similar differential equations for the rest mass and the electric charge respectively. These equations contain information and justify the … …Physics International, Vol. 5, Issue 1 · 20 Mar 2014 · 8,567 accessesView PDFCite