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89 articles for “Analytical Solution”
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Research ArticleOpen accessIn the abstractAn Expansion Iterative Technique for Handling Fractional Differential Equations Using Fractional Power Series SchemeRadwan Abu-Gdairi, Mohammed Al-Smadi, Ghaleb GumahIn this study, we present a new analytical numerical technique for solving a class of time Fractional Differential Equations (FDEs) with variable coefficients based on the generalized Taylor series formula in the Caputo sense. This method provided the solution in the form of a rapidly convergent power series under a multiple fractional differentiability with easily computable components. An efficacious experiment … …Journal of Mathematics and Statistics, Vol. 11, Issue 2 · 18 Sep 2015 · 7,807 accessesView PDFCite
Research ArticleOpen accessIn the abstractCross-Section Optimization of Sandwich-Type Cylindrical Wind Turbine TowersStylianos M. Vernardos, Charis J. GantesAs wind energy is aggressively expanding within the alternative sources' part of modern world's energy pie, the need of addressing various obstacles that limit further wind utilization becomes all the more urgent. From a structural engineering point of view, surmounting the tower-base diameter limitation, dictated by the current transportation capabilities, is one of the industry's primary issues. The concept presented … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 4 · 7 Aug 2015 · 7,993 accessesView PDFCite
Research ArticleOpen accessIn the abstractEvaluation of the Tunnel Face Stability through a Ground Stress Analysis with a Hemispherical Geometry ApproximationPierpaolo OresteThe evaluation of the stability of the excavation face is an important aspect in the design of a tunnel. When it is not possible to ensure excavation face stability in natural conditions, it is in fact necessary to intervene with remarkably costly reinforcement operations. The analysis of the stability conditions of an excavation face can be conducted, with a certain … …American Journal of Applied Sciences, Vol. 11, Issue 12 · 8 Jan 2015 · 6,724 accessesView PDFCite
Research ArticleOpen accessIn the abstractCHEMICAL EQUILIBRIUM OF SOIL SOLUTION IN STEPPE ZONE SOILA. A. Batukaev, A. P. Endovitsky, T. M. Minkina et al.Dynamics of material composition, migration and accumulation of salts is determined by chemical equilibrium in soil solution. Soil solution contains associated electrically neutral ion pairs CaCO30; CaSO40, MgCO30, MgSO40, charged ion pairs CaHCO3+, MgHCO3+, NaCO3-, NaSO4-, CaOH+, MgOH+. Calculation method is proposed for quantitative assessment of real ion forms in the soil solution of chestnut solonetz soil complex. Were proposed … …American Journal of Agricultural and Biological Sciences, Vol. 9, Issue 3 · 24 Jun 2014 · 8,224 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHE ASSOCIATION OF IONS IN THE SOIL SOLUTION OF SALINE SOILSA. P. Endovitsky, T. M. Minkina, V. P. Kalinichenko et al.The chemical equilibrium in the soil solution determines the dynamics of its material composition, migration and accumulation of salts. In the soil solution are formed electrically neutral ion pairs CaCO3°; CaSO4°, MgCO3°, MgSO4°, charged ion pairs CaHCO3+, MgHCO3+, NaCO3-, NaSO4-, CaOH+, MgOH+. The calculation method proposed for quantitative assessment of real ion forms in the soil solution of solonetz taking … …American Journal of Agricultural and Biological Sciences, Vol. 9, Issue 2 · 12 Feb 2014 · 8,048 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 · 6,990 accessesView PDFCite
Research ArticleOpen accessIn the abstractAnalytical and Experimental Studies on the Thermal Efficiency of the Double-Pass Solar Air Collector with Finned AbsorberAhmad Fudholi, Kamaruzzaman Sopian, Mohd Hafidz Ruslan et al.Problem statement: The design of suitable air collectors is one of the most important factors controlling the economics of the solar drying. Air type collectors have two inherent disadvantages: Low thermal capacity of air and low absorber to air heat transfer coefficient. Different modifications are suggested and applied to improve the heat transfer coefficient between the absorber plate and air. … …American Journal of Applied Sciences, Vol. 8, Issue 7 · 24 Jun 2011 · 7,415 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Simplified Analytical Modeling of the Hole Erosion TestMohammed Bezzazi, Abdellatif Khamlichi, Miguel Prron Vera et al.Problem statement: Internal erosion occurs in soils containing fine particles under the action of high pressure gradients that could result from water discharge. This phenomenon can yield in its final stage to the formation of piping which constitutes a real threat for hydraulics infrastructures as it can precipitate their entire rupture in very short time. In order to mitigate this … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 4 · 30 Nov 2010 · 8,025 accessesView PDFCite
Research ArticleOpen accessIn the abstractEvaluating the Maintenance Performance of the Semiconductor Factories Based on the Analytical Hierarchy Process and Grey Relational AnalysisFei-Long Chen, Yun-Chin ChenProblem statement: Maintenance is an important factor in semiconductor factories, not only because of costs and the need for the uninterrupted operation of semiconductor equipment, but also the time and expense required for maintenance. If maintenance procedures are not performed properly, the equipment will have low efficiency or break down, production capacity will decrease and the company will incur extra … …American Journal of Applied Sciences, Vol. 7, Issue 4 · 30 Apr 2010 · 7,308 accessesView PDFCite
Research ArticleOpen accessIn the abstractReflectivity of Reflectarrays Based on Dielectric SubstratesM. Y. Ismail, M. Inam, A. M.A. ZaidiProblem statement: Reflectarrays provide a low cost and low profile solution for antennas required for high gain applications but their use is restricted in some applications due to the narrow bandwidth and high loss performance. These performance limitations can be attributed to different sources of reflectivity of the reflectarrays. This work provides a thorough investigation on the reflectivity performance of … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 1 · 31 Mar 2010 · 8,628 accessesView PDFCite