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136 results for “differential method”
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Research ArticleOpen accessIn the abstractOn Thermal Explosion of Sensitized Reaction with Variable Heat LossK.S. Adegbie, F.I. AlaoThis study discusses the influence of heat loss on the critical ignition temperature and Frank-Kamenetskii parameter of a non-linear ordinary differential equation arising in thermal sensitized reaction. The reaction obeys the Arrhenius expression with temperature dependent pre-exponential factor, taking heat exchange between the reacting material and its surrounding into account. The consequences of heat loss are explored within the framework … …American Journal of Applied Sciences, Vol. 4, Issue 1 · 30 Apr 2007 · 6,923 accessesView PDFCite
Research ArticleOpen accessIn the abstractHysteresis, resonant oscillations and bifurcation mode of a system modeled by a forced modified Van der Pol-Duffing oscillatorJean Bio Chabi Orou, Clément Hodévèwan Miwadinou, Laurent Amoussou Hinvi, Adjimon Vincent MonwanouNonlinear oscillations and its applications in physics, chemistry, engineering, biophysics, communications are studied with some analytical, numerical and experimental methods. In the present paper, hysteresis, resonant oscillations and bifurcation mode of a system modeled by a forced modified Van der Pol-Duffing oscillator are considered. The plasma oscillations are considered and are described by a nonlinear differential equation. By using the … …American Journal of Engineering and Applied Sciences, Vol. 10, Issue 4 · 23 Oct 2017 · 7,898 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 · 6,651 accessesView PDFCite
Research ArticleOpen accessIn the abstractNematic and Smectic Mesophase from Calamitic Bisazobenzene Liquid Crystal: Synthesis and Characterization of 1- Methoxyhexyloxy-4'-(4-Phenylazo) Azobenzene Hybrid MoleculeSidik Silong, Abdulsalam Abubakar Salisu, Muhamad Zaki Ab Rahman et al.A new hybrid calamitic liquid crystal material with rod-shape bisazobenzene moieties as a core has been synthesized and characterized by spectroscopic methods. The mesomorphic properties were investigated by differential scanning colorimetry, polarizing optical microscopy and X-Ray diffraction. The rod-shaped molecule 1- methoxyhexyloxy-4`-(4-phenylazo)azobenzene was prepared by diazotization of 4-phenylazoaniline, coupling with phenol and subsequent etherification of 1-Bromohexyloxy-4`-(4-phenylazo)azobenzene in methanol. The presence … …American Journal of Applied Sciences, Vol. 6, Issue 4 · 30 Apr 2009 · 7,980 accessesView PDFCite
Research ArticleOpen accessIn the abstractModels for Mixed Ensemble of Hydrometeors and their Use in Calculating the Total Random Cross Section of a Resolution Volume Filled by Random ScatterersAyman Al-Lawama, Salaheddin Malkawi, Abdullah Al-Odienat, Felix YanovskyFlight safety is of a major concern in aircrafts since the beginning of air traffic. One of the problems threatening the safety is the in-flight icing of the aircraft. This research deals with a problem arises in the context of weather aviation maintenance. Methods of aircraft icing are based on the difference in behavior of the polarization of radar signal … …American Journal of Applied Sciences, Vol. 5, Issue 12 · 31 Dec 2008 · 6,802 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordApplication of Homotopy Perturbation Method for SIR Model with Vital Dynamics and Constant PopulationMohammed S. Mechee, Ghassan A. Al-JuaifriIn this work, we have studied Susceptible-Infected-Recovered (SIR) model with vital dynamics and constant population, which is used as a mathematical models in many physically significant fields of applied science. The Homotopy Perturbation Method (HPM) and Runge-Kutta method (RK) have been used for solving the SIR model with vital dynamics and constant population. The convergence of HPM has been studied. … …American Journal of Applied Sciences, Vol. 15, Issue 1 · 3 Jan 2018 · 8,003 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordCost Analysis of Two-Dissimilar-Unit Cold Standby System with three States and Preventive Maintenance Using Linear First Order Differential EquationsM. Y. HaggagProblem statement: Several researchers have studied the reliability behavior of a three state systems, but no attention was paid to the reliability evaluation due to preventive maintenance. The better maintenance of the system originates better reliability. Also, standby support increases the reliability of the system. Approach: Determine the efficacy of preventive maintenance on the reliability and performance of the system. … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 6,873 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordNumerical Prediction Model for Temperature Distributions in Concrete at Early AgesWondwosen Ali, Girum UrgessaA finite element-finite difference numerical model is developed for predicting non-uniform temperature development in hydrating concrete with respect to time and space. The results obtained from this model can be used by structural and construction engineers to predict critical thermal stresses induced due to differential temperatures between the core and the surface of the concrete at early ages and between … …American Journal of Engineering and Applied Sciences, Vol. 5, Issue 4 · 2 Jan 2013 · 7,353 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordEstimation of the Parameters of the Stochastic Differential Equations Black-Scholes Model Share Price of GoldKhaldi Khaled, Meddahi SamiaProblem statement: The estimation of the parameters is one of main problems of the dynamic models in many scientific fields and particularly in economics and finance. In this study, we examine the techniques of estimation of the parameters of the Black-Scholes model. These techniques are based on the function of probability. Approach: The two estimations are based on the likelihood … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 24 Dec 2010 · 7,711 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordNumerical Study on the Effect of Linear Friction of Long-Wave Propagation and Breaking with Sloping BottomAgustinus RibalIn this study, we investigate the breaking of long-waves propagating on shallow water with linear friction on the sloping bottom. A complete set of equations is presented and a numerical method is developed to simulate the wave propagation. The method uses an up-wind difference scheme for the nonlinear convective term and the central difference scheme for other derivative terms. Various … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,853 accessesView PDFCite