28 results for “Second order equations”

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Research ArticleOpen accessIn the abstractSimulations of Two-dimensional High Speed Turbulent Compressible Flow in a Diffuser and a Nozzle Blade CascadeK. C. Ng, M. Z. Yusoff, T. F. YusafThis research describes the development of a new structured 2D CFD solver for compressible flow. The high-speed turbulent flow in a diffuser and a cascade of nozzle blade is predicted using standard k-ε turbulence model. The new finite volume CFD solver employs second-order accurate central differencing scheme for spatial discretization and multi-stage Runge-Kutta time integration to solve the set of … …American Journal of Applied Sciences, Vol. 2, Issue 9 · 30 Sep 2005 · 6,550 accessesView PDF Cite

Research ArticleOpen accessIn the abstractForce Prediction Model for Milling 618 Stainless Steel Using Response Surface MethodologyK. Kadirgama, K A. Abou-El-HosseinThis paper describes the development of a response model (cutting force) for milling 618 stainless steel utilizing response surface methodology. The cutting force model is developed in terms of cutting speed, feed rate, axial depth and radial depth. The cutting force contours have been generated from these model equations and are shown of different plots. The model generated show that … …American Journal of Applied Sciences, Vol. 2, Issue 8 · 31 Aug 2005 · 6,697 accessesView PDF Cite

Research ArticleOpen accessIn the abstractEvaluation of Reliability and Availability Characteristics of Two Different Systems by Using Linear First Order Differential EquationsKhaled M. El-Said, Mohamed S. EL-SherbenyThis study deals with the reliability and availability characteristics of two different series system configurations. The second system differs from the first system due to the additional feature of preventive maintenance. The failure times of a components are assumed to be exponentially distributed with parameters α,β,α' and β', respectively. The replacement time distribution of each server is also exponentially distributed … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,659 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Generalization of the Frobenius Method for Ordinary Differential Equations with Regular Singular PointsJung-Hua Chou, Raylin WuThe conventional Frobenius method for second order differential equations with regular singular points is extended to differential equations of higher and lower orders. The conditions of a point being regular singular are addressed. It is also shown that Cauchy-Euler differential equations are a special case of ordinary differential equations with regular singular points. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 7,540 accessesView PDF Cite

Research ArticleOpen accessIn the abstractSurface Roughness Prediction Model in Machining of Carbon Steel by PCD Coated Cutting ToolsYusuf Sahin, A. Riza MotorcuThe surface roughness model in the turning of AISI 1040 carbon steel was developed in terms of cutting speed, feed rate and depth of cut using response surface methodology. Machining tests were carried out using PVD-coated tools under different cutting conditions. The surface roughness equations of cutting tools when machining the carbon steels were achieved by using the experimental data. … …American Journal of Applied Sciences, Vol. 1, Issue 1 · 31 Mar 2004 · 7,964 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordOn Computing of Eigenvalues of Differential Equations Q = λP with Eigenparameter in Boundary ConditionsS. M. Al-HarbiProblem statement: Our purpose of this study is to use sinc methods to compute approximately the eigenval-ues of second-order operator pencil of the form Q-λP. Approach: Where Q is second order self adjoint differential operator and P is a first order and λ∈C is an eigenvalue parameter. Results: The eigenparameter appears in the boundary conditions linearly. Using computable error boundswe … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 29 Jan 2011 · 6,826 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordA New High Order Algorithm with Low Computational Complexity for Electric Field SimulationMohammad Khatim Hasan, Jumat Sulaiman, Samsul Arifin Abdul KarimProblem statement: This research reported on new approach to improve speed of simulation time for free space electric wave propagation from an antenna. The existing method, Finite-Difference Time-Domain (FDTD) have been proven to solve the problem accurately, however, one of the drawbacks of the method was it needs a long processing time to simulate problem. Research efforts to increase the … …Journal of Computer Science, Vol. 6, Issue 7 · 31 Jul 2010 · 6,394 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordOn Sixtic Lacunary Spline Solutions of Second Order Initial Value ProblemJwamer Karwan Hama FarajProblem statement: The lacunary problem, which we had investigated in this study, consider in finding the spline function of degree six S(x) of deficiency four, interpolating data given on the function value and third, forth order in the interval [0,1]. Also, on the extra initial condition was prescribed on the first derivative. Other purpose of this construction was to solve … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,763 accessesView PDF Cite