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89 articles for “Analytical Solution”

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Research ArticleOpen accessIn the abstractExact Solutions of Mass Transfer over a Stretching Surface with Chemical Reaction and Suction/InjectionHassan A.M. El-ArabawyProblem statement: In this research the researchers studied and made an analysis to the effects of suction/injection and chemical reaction on mass transfer characteristics over a stretching surface. The researcher studied the effects of some parameters appear on mass transfer. Approach: Transforming the system of partial differential equations to a system of ordinary differential equations and obtaining the exact analytical … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,510 accessesView PDFCite
Research ArticleOpen accessIn the abstractEfficiency of Differential Transformation Method for Genesio SystemJafar Husni AhmadProblem statement: In this study, a continuous solution for Genesio system was considered using Differential Transformation Method (DTM). Approach: Numerical results were compared to those obtained by the Runge-Kutta method to evaluate the performance of the suggested method. Results: The accuracy of the DTM was tested as the chaotic Genesio system. Conclusion/Recommendations: It was shown that the DTM was robust, … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 7,272 accessesView PDFCite
Research ArticleOpen accessIn the abstractCharacterization of the Fracture Toughness of the Concrete Mortars Exposed to Elevated TemperaturesS. Djaknoun, A. Ahmed Benyahia, E. OuedraogoThe main objective of this research was the characterisation of the fracture toughness of concrete mortars exposed to high temperatures by using notched specimens in three point bending tests. The specimens have different lengths and were heated at different temperatures ranging from room temperature up to 900°C. The experimental test results obtained are closed with those reported by the literature, … …American Journal of Applied Sciences, Vol. 6, Issue 2 · 28 Feb 2009 · 6,524 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Solution of Fourth Order Linear Ordinary Differential Equations by Cubic Spline Collocation Tau MethodO.A. Taiwo, O.M. OgunlaranProblem Statement: Many boundary value problems that arise in real life situations defy analytical solution; hence numerical techniques are desirable to find the solution of such equations. New numerical methods which are comparatively better than the existing ones in terms of efficiency, accuracy, stability, convergence and computational cost are always needed. Approach: In this study, we developed and applied three … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,985 accessesView PDFCite
Research ArticleOpen accessIn the abstractAnalytical Investigation of Hyperbolic Equations via He's MethodsD.D. Ganji, M. Amini, A. KolahdoozPerturbation methods depend on a small parameter which is difficult to be found for real-life nonlinear problems. To overcome this shortcoming, two new but powerful analytical methods were introduced to solve nonlinear heat transfer problems in this Letter, one is He's Variational Iteration Method (VIM) and the other is the Homotopy-Perturbation Method (HPM). Nonlinear hyperbolic equations were used as examples … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 4 · 31 Dec 2008 · 7,115 accessesView PDFCite
Research ArticleOpen accessIn the abstractSimulation of Convective Heat-Transfer Coefficient in a Buried ExchangerTaoufik Mnasri, Rached Ben Younès, Maher Raddaoui, Salem ElouraginiThis study presents analytical models allowing to study a forced convection laminar flow in non-established dynamic and thermic regimes. We treated a flow in a bitubular exchanger in permanent thermal contact with a semi-infinite medium, such as the ground. The wall temperature as well as the wall heat flux evolve in the course of time until a quasi-steady mode. The … …American Journal of Applied Sciences, Vol. 5, Issue 8 · 31 Aug 2008 · 6,901 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Analysis for The FGM Thick Cylinders Under Combined Pressure and Temperature LoadingK. Abrinia, H. Naee, F. Sadeghi, F. DjavanroodiAn analytical solution for computing the radial and circumferential stresses in a FGM thick cylindrical vessel under the influence of internal pressure and temperature is presented in this paper. It has been assumed that the modulus of elasticity and thermal coefficient of expansion were varying through thickness of the FGM material according to a power law relationship. Nevertheless the value … …American Journal of Applied Sciences, Vol. 5, Issue 7 · 31 Jul 2008 · 7,123 accessesView PDFCite
Research ArticleOpen accessIn the abstractOpen Circuit Field Distribution and Induced Voltage of a Cylindrical Permanent Magnet Linear GeneratorWijono, Hamzah ArofThis paper deals with the analytical computation of the magnetic field of a cylindrical permanent magnet linear generator. It offers an alternative solution to the magnetic field problem. A new approach to solve Poisson equation using Struve function is introduced and it offers a simple but accurate analytical estimation to the calculation of the open circuit flux density and induced … …American Journal of Applied Sciences, Vol. 4, Issue 11 · 30 Nov 2007 · 7,191 accessesView PDFCite
Research ArticleOpen accessIn the abstractAnalysis of Hierarchical Diff-EDF Schedulability over Heterogeneous Real-Time Packet NetworksMoutaz Saleh, Zulaiha Ali OthmanPacket networks are currently enabling the integration of traffic with a wide range of characteristics that extend from video traffic with stringent QoS requirements to the best-effort traffic requiring no guarantees. QoS guarantees can be provided in conventional packet networks by the use of proper packet scheduling algorithms. As a computer revolution, many scheduling algorithms have been proposed to provide … …Journal of Computer Science, Vol. 3, Issue 9 · 30 Sep 2007 · 6,530 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Solutions of the Multispecies Predator-Prey Model by Variational Iteration MethodKhaled BatihaThe main objective of the current work was to solve the multispecies predator-prey model. The techniques used here were called the variational iteration method (VIM) and the Adomian decomposition method (ADM). The advantage of this work is twofold. Firstly, the VIM reduces the computational work. Secondly, in comparison with existing techniques, the VIM is an improvement with regard to its … …Journal of Computer Science, Vol. 3, Issue 7 · 31 Jul 2007 · 6,793 accessesView PDFCite