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155 articles for “Differential Equation”
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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 abstractHybrid Block Method for Direct Numerical Approximation of Second Order Initial Value Problems Using Taylor Series ExpansionsOluwaseun Adeyeye, Zurni OmarIn this article, a hybrid block method is utilized for the numerical approximation of second order Initial Value Problems (IVPs). The rigor of reduction to a system of first order initial value problems is bypassed as the hybrid block method directly solves the second order IVPs. Likewise, the methodology utilized also avoids the cumbersome steps involved in the widely adopted … …American Journal of Applied Sciences, Vol. 14, Issue 2 · 17 Feb 2017 · 7,956 accessesView PDFCite
Research ArticleOpen accessIn the abstractFitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value ProblemsAsad Freihat, Radwan Abu-Gdairi, Hammad Khalil et al.In this article, the reproducing kernel Hilbert space W24 [0, 1] is employed for solving a class of third-order periodic boundary value problem by using fitted reproducing kernel algorithm. The reproducing kernel function is built to get fast accurately and efficiently series solutions with easily computable coefficients throughout evolution the algorithm under constraint periodic conditions within required grid points. The … …American Journal of Applied Sciences, Vol. 13, Issue 5 · 11 May 2016 · 7,654 accessesView PDFCite
Research ArticleOpen accessIn the abstractWheeled Mobile Robot Trajectory Tracking using Sliding Mode ControlAzza El-Sayed Bayoumi IbrahimThis paper introduces and discusses a control strategy for nonholonomic wheeled mobile robots. The models of the robots include the kinematic and dynamic equations of motion. Trajectory tracking control problem of parallel wheeled differential drive mobile robot is considered, where the robot should reach the final position by following a referenced trajectory for different initial conditions. A motion control strategy … …Journal of Computer Science, Vol. 12, Issue 1 · 12 Mar 2016 · 9,323 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 abstractMETHODS OF COMPLEX OBJECT'S TRANSFER FUNCTION CALCULATION FOR DISTRIBUTED CONTROL SYSTEMAlexander V. Martirosyan, Karina V. Martirosyan, Eduard G. YanukyanOne of the ways of solving the stable operation mode of the mineral water field's setting problem is the development and implementation of the hydromineral recourses distributed control system. In this article the consideration of the control system's development on the basis of regulator synthesis approach is offered. The purpose of this study is to present a technique of the … …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 9 Oct 2014 · 6,755 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
Research ArticleOpen accessIn the abstractUNSTEADY BOUNDARY LAYER FLOW ALONG A STRETCHING CYLINDER AN ANALYTICAL SOLUTIONM. Y. AklThe axisymetric laminar boundary layer unsteady flow along a continuously stretching cylinder immersed in a viscous and incompressible fluid is studied. The governing partial boundary layer equations in cylindrical form are first transformed into ordinary differential equations these equations are solved analytically using the optimal modified Homotopy Asymptotic method in order to get a closed form solution for the dimensionless … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 17 Feb 2014 · 7,155 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Non-Linear Absolutely-Stable Explicit Numerical Integration Algorithm for Stiff Initial-Value ProblemsEssam R. El-ZaharThe time-step in integration process has two restrictions. The first one is the time step restriction due to accuracy requirement τac and the second one is the time-step restriction due to stability requirement τst. The most of explicit methods have small stability regions and consequently small τst. It obliges us to solve stiff problems with small step size τst << … …American Journal of Applied Sciences, Vol. 10, Issue 11 · 11 Sep 2013 · 7,565 accessesView PDFCite
Research ArticleOpen accessIn the abstractDynamics of Coherent Structures in the Coupled Complex Ginzburg-Landau EquationsTat-Leung YeeProblem statement: In this study, we study the analytical construction of some exact solutions of a system of coupled physical differential equations, namely, the Complex Ginzburg-Landau Equations (CGLEs). CGLEs are intensively studied models of pattern formation in nonlinear dissipative media, with applications to biology, hydrodynamics, nonlinear optics, plasma physics, reaction-diffusion systems and many other fields. Approach: A system of two … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 6 Nov 2012 · 6,994 accessesView PDFCite