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46 articles for “analytical solutions”
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Research ArticleOpen accessIn the abstractTime-Delay Estimation using the Characteristic Roots of Delay Differential EquationsSun Yi, Wonchang Choi, Taher Abu-LebdehProblem statement: For ordinary dynamic systems (i.e., non-delayed), various methods such as linear least-squares, gradient-weighted least-squares, Kalman filtering and other robust techniques have been widely used in signal processing, robotics, civil engineering. On the other hand, time-delay estimation of systems with unknown time-delay is still a challenging problem due to difficulty in formulation caused. Approach: The presented method makes use … …American Journal of Applied Sciences, Vol. 9, Issue 6 · 7 Apr 2012 · 8,090 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical Modeling and Characterization of Thin Film, Narrow Gap Sensor Array Units (SAU)Mahmoud Z. IskandaraniDesign, modeling, testing and analysis multi-gap PbPc sensor array units for the purpose of gas detection are carried out. The tested devices showed reduction in conductance as a function of increasing gap width and reducing film thickness and an increase as a function of temperature up to 160°C. An observed morphological change in the sublimed film is realized at 190°C … …American Journal of Applied Sciences, Vol. 7, Issue 9 · 30 Sep 2010 · 6,859 accessesView PDFCite
Research ArticleOpen accessIn the abstractMNM1D: A Numerical Code for Colloid Transport in Porous Media: Implementation and ValidationTiziana Tosco, Rajandrea SethiProblem statement: Understanding the mechanisms that control the transport and fate of colloidal particles in subsurface environments is a crucial issue faced by several researchers in the last years. In many cases, natural colloids have been shown to play a major role in the spreading of strongly sorbing contaminants, while manufactured micro-and nanoparticles, which are nowadays widely spread in the … …American Journal of Environmental Sciences, Vol. 5, Issue 4 · 31 Aug 2009 · 8,298 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Electrochemical Investigation of the Redox Properties of Murexide in Aqueous and Non-Aqueous MediaHossnia S. MohranKnowledge of solvent effects on the redox properties of Murexide (Mu) is important for understanding its role as an electron acceptor in analytical and inorganic chemistry. In the present study, an investigation of the electrochemical behavior of the compound by both Cyclic Voltammetry (CV) and Electrochemical Impedance Spectroscopy (EIS) in both aqueous and non-aqueous solutions was undertaken. It is suggested … …American Journal of Applied Sciences, Vol. 6, Issue 5 · 31 May 2009 · 7,741 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 · 7,122 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 · 6,903 accessesView PDFCite
Research ArticleOpen accessIn the abstractNonlinear Whitham-Broer-Kaup Wave Equation in an Analytical SolutionS.A. Zahedi, M. Vaezi, N. TolouThis study presented a new approach for the analysis of a nonlinear Whitham-Broer-Kaup equation dealing with propagation of shallow water waves with different dispersion relations. The analysis was based on a kind of analytical method, called Variational Iteration Method (VIM). To illustrate the capability of the approach, some numerical examples were given and the propagation and the error of solutions … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,687 accessesView PDFCite
Research ArticleOpen accessIn the abstractPhase Transition in Φ6 PotentialHatem WidyanScalar field theory with an asymmetric potential was studied at zero temperature and high-temperature for Φ6 potential. The equations of motion are solved numerically to obtain O(4) spherical symmetric and O(3) cylindrical symmetric bounce solutions. These solutions control the rates for tunneling from the false vacuum to the true vacuum by bubble formation. The range of validity of the thin-wall … …American Journal of Applied Sciences, Vol. 3, Issue 7 · 31 Jul 2006 · 6,881 accessesView PDFCite
Research ArticleOpen accessIn the abstractFrequency Behavior of a Quartz Crystal Microbalance (Qcm) in Contact with Selected SolutionsZ. A. Talib, Z. Baba, S. Kurosawa et al.A device was constructed to monitor viscosity of solutions using fundamental frequency of 9 MHz and 10 MHz quartz crystal. Piezoelectric quartz crystals with gold electrodes were mounted by O-ring in between liquid flow cell. Only one side of the crystal was exposed to the solutions which were pumped through silicon tube by a peristaltic pump. The measured frequency shift … …American Journal of Applied Sciences, Vol. 3, Issue 5 · 31 May 2006 · 7,518 accessesView PDFCite
Research ArticleOpen accessIn the abstractWeighted Integration Route to Stiffness Matrix of Quadrilaterals for Speed, Accuracy and Functionally Graded Material ApplicationSubramanian G., P.V. JeyakarthikeyanA weighted integration route with robust one-point integration (hourglass-controlled) is proposed as efficient, time saving alternative to Gauss quadrature for stiffness matrix of bilinear quadrilaterals. One-point rule relies on sampling at the center of the element to linearize the geometric transformation and average the material property over it. This enables, for a given element, explicit integration of stiffness matrix yielding … …American Journal of Applied Sciences, Vol. 15, Issue 4 · 27 Sep 2017 · 8,054 accessesView PDFCite