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120 articles for “Differential Equations”
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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 abstractKRYLOV’S SUBSPACES ITERATIVE METHODS TO EVALUATE ELECTROSTATIC PARAMETERSMario Versaci, Alessandra Jannelli, Giovanni Angiulli, Francesco Carlo MorabitoMost of the electromagnetic problems can be stated in terms of an inhomogeneous equation Af = g in which A is a differential, integral or integro-differential operator, g in the exitation source and f is the unknown function to be determined. Methods of Moments (MoM) is a procedure to solve the equation above and, by means of an appropriate choice … …American Journal of Applied Sciences, Vol. 11, Issue 3 · 4 Jan 2014 · 7,870 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Simulation of the Transient Flow in Natural Gas Transmission Lines Using a Computational Fluid Dynamic MethodPedram Ghaseminejad, Nikan NoorbeheshtUntil now, almost all tools that are used to analyze gas transportation networks are based on steady flow conditions. Some design problems can be solved by the assumption of a steady state. However, some circumstances force us to use transient analyses, which commonly include changes in customer demand, the failure of a compressor station or gas pipeline ruptures. In this … …American Journal of Applied Sciences, Vol. 10, Issue 1 · 6 Jan 2013 · 7,464 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
Research ArticleOpen accessIn the abstractApplication of Optimal Control to the Epidemiology of Fowl Pox Transmission Dynamics in PoultryUdofia Ekere Sunday, Inyama Simeon ChiomaProblem statement: In this study, we present the mathematical model of the transmission dynamics of fowl pox infection in poultry. Approach: It describes the interaction between the susceptible and the infected birds which results in a system of ordinary differential equation. Introducing the control which represents the effort in applying chemoprophylaxis control u1 and treatment control u2 in birds with … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 13 Jun 2012 · 6,957 accessesView PDFCite
Research ArticleOpen accessIn the abstractTransient MHD Mixed Double Diffusive Convection Along a Vertical Plate Embedded in a Non-Darcy Porous Medium with Suction or InjectionKhaled K. JaberProblem statement: Transient non-Darcy mixed double convection from a semi-infinite, isothermal vertical plate embedded in a homogeneous porous medium, in the presence of surface suction or injection had been numerically investigated. Approach: Forchheimer extension was considered in the flow equations. Appropriate transformations were employed to transform the derived partial differential equations governing the problem under consideration on the assumption of … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 10 Dec 2011 · 7,125 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Closed Form Solutions of Linear and Nonlinear Cauchy Reaction-Diffusion Equations Using the Hybrid of Fourier Transform and Variational Iteration MethodS.S. Nourazar, A. Nazari-Golshan, M. NourazarProblem statement: In the present study, a hybrid of Fourier transform and Variational Iteration Method (FTVIM) is developed for solving the non-homogeneous linear and nonlinear partial differential equations of Cauchy reaction-diffusion problem. Approach: The closed form solutions obtained from the series solution of recursive sequences is valid for the entire range of problem domain. Results and Conclusion: Moreover, the very … …Physics International, Vol. 2, Issue 1 · 26 Oct 2011 · 8,197 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Approximate Formula of European Option for Fractional Stochastic Volatility Jump-Diffusion ModelP. Sattayatham, A. IntarasitProblem statement: We presented option pricing when the stock prices follows a jumpdiffusion model and their stochastic volatility follows a fractional stochastic volatility model. This proposed model exhibits the a memory of a stochastic volatility model that is not expressed in the classical stochastic volatility model. Approach: We introduce an approximated method to fractional stochastic volatility model perturbed by the … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 27 Jul 2011 · 7,971 accessesView PDFCite
Research ArticleOpen accessIn the abstractViscous Dissipation Effect on Steady free Convection and Mass Transfer Flow past a Semi-Infinite Flat PlatePalanisamy Geetha, Muthamperumal Bhavathikannu Krishna MoorthyProblem statement: A steady two-dimensional free convection and mass transfer flow past a continuously moving semi-infinite flat plate is studied theoretically, by taking into account the viscous dissipation effect. Approach: The governing equations are transformed into a set of simultaneous ordinary differential equation by using suitable similarity transformations. The coupled differential equations are integrated using the Runge-Kutta Gill method together … …Journal of Computer Science, Vol. 7, Issue 7 · 30 Jun 2011 · 6,509 accessesView PDFCite
Research ArticleOpen accessIn the abstractVariable Viscosity, Chemical Reaction and Thermal Stratification Effects on Mixed Convection Heat and Mass Transfer along a Semi-Infinite Vertical PlateP. Geetha, M.B.K. MoorthyProblem statement: In this research the researchers studied and made an analysis to the heat and mass transfer characteristics in a viscous fluid over a semi-infinite vertical porous plate by taking into account the variable viscosity, chemical reaction and thermal stratification effects. Approach: The governing partial differential equations were transformed into a set of coupled non-linear ordinary differential equations, which … …American Journal of Applied Sciences, Vol. 8, Issue 6 · 13 Jun 2011 · 6,852 accessesView PDFCite