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28 articles for “Difference Equations”
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Research ArticleOpen accessPhrase in the titleNonlinear Piecewise-Defined Difference Equations with Reciprocal Quadratic TermsRamadan Sabra, Saleem Shafiq Al-AshhabIn this study we consider the several types of piece-wise defined sequences. We prove some results concerning the behavior of the sequence. In some cases we prove that the terms repeat themselves in certain patterns and we prove in other cases that the terms grow monotonically after few terms and approaches infinity. …Journal of Mathematics and Statistics, Vol. 11, Issue 3 · 18 Nov 2015 · 6,762 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleParallel Iterative Algorithms with Accelerate Convergence for Solving Implicit Difference EquationsQing-Fu Liu, Wei-Jun Zhong, Mancho ManevThis study focuses on the solution of implicit difference equations, which are very difficult to compute in parallel for the diffusion equation. For improving the convergence rates and the properties of gradual-approach convergence of Segment-Classic-Implicit-Iterative (SCII) and Segment-Crank-Nicolson-Iterative (SCNI) algorithms realizing efficient iterative computation in parallel by segmenting grid domains, SCII and SCNI algorithms with accelerated convergence are studied and … …American Journal of Applied Sciences, Vol. 1, Issue 1 · 31 Mar 2004 · 6,799 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNumerical Study of Tsunami Waves with Sloping Bottom and Nonlinear FrictionAgustinus RibalIn this paper we investigate the breaking of long-waves propagating on shallow water with nonlinear friction on the sloping bottom. A complete set of equations is presented and a numerical method is developed to simulate the wave propagation. The method uses an up-wind difference scheme for the nonlinear convective term and the central difference scheme for other derivative terms. Various … …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 7,129 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA 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 PDFCite
Research ArticleOpen accessIn the abstractBulk and Interface Configuration on the Performances of Perovskite Solar CellsSankara Issiaka, Soumaïla Ouédraogo, Daouda Oubda et al.The ongoing search for energy conversion technologies that are more efficient, affordable, and sustainable than traditional solar cells have led researchers to look at other technologies. Among these technologies, perovskite-based solar cells seem increasingly credible, as they have the potential to achieve high energy conversion efficiencies that rival or even surpass those of silicon solar cells, which currently dominate the … …American Journal of Applied Sciences, Vol. 20, Issue 1 · 7 Nov 2023 · 6,018 accessesView PDFCite
Research ArticleOpen accessIn the abstractDouble Diffusive Convection Heat and Moisture Transfer Inside a Planted Roof Building Under Hot-Humid Climate: Case of Lomé City in West AfricaHodo-Abalo Samah, Magolmèèna Banna, Belkacem ZeghmatiPlanted roofs have been investigated as a passive cooling technology for energy efficiency purposes in buildings. More quantitative data on this topic are required to solve a lack of information for many specific regions. This study is focused on a numerical investigation of the thermal comfort inside a green roof rectangular ventilated cavity in a hot and humid climate like … …American Journal of Applied Sciences, Vol. 19, Issue 1 · 7 Feb 2022 · 6,993 accessesView PDFCite
Research ArticleOpen accessIn the abstractPerformance Assessment of Solar Chimneys: Part I – Impact of Chimney Height on Power OutputErdem Cuce, Pinar Mert CuceSolar chimney is a truly sustainable and green energy technology, which is a potential alternative to carbon-based energy economy. The working principle of solar chimneys is based on the buoyant nature of air to turn a turbine that produces electrical power. Solar chimneys are highly in the centre of interest among all solar energy applications since they enable both day … …Energy Research Journal, Vol. 10, Issue 1 · 29 Jun 2019 · 8,195 accessesView PDFCite
Research ArticleOpen accessIn the abstractNon-Singular Thermodynamic GravityPharis E. WilliamsNewton formed his laws of motion, but still had to assume a law of gravity in order to determine the motions of bodies interacting through gravitational forces. Newton gave a prescription of how to find the dynamics produced by gravity. Einstein sought to determine the motions of gravity without using a force. Rather, he sought a system of equations by … …Space Science International, Vol. 1, Issue 2 · 23 Dec 2013 · 7,651 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Lense-Thirring Effect in the Anomalistic Period of Celestial BodiesIoannis Haranas, Omiros Ragos, Ioannis GkigkitzisIn the weak field and slow motion approximation, the general relativistic field equations are linearized, resembling those of the electromagnetic theory. In a way analogous to that of a moving charge generating a magnetic field, a mass-energy current can produce a gravitomagnetic field. In this contribution, the motion of a secondary celestial body is studied under the influence of the … …Space Science International, Vol. 1, Issue 2 · 9 Dec 2013 · 8,457 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputational Techniques for Stability Analysis of a Class of Dynamic Economic ModelsGeorge E. Halkos, Kyriaki D. TsilikaModern microeconomics and macroeconomics study dynamic phenomena. Dynamics could predict future states of an economy based on its structural characteristics. Dynamic models in discrete time discrete state economic systems may take the form of one single linear difference equation or a system of linear difference equations. In this study we use Xcas and Mathematica as software tools in order to … …American Journal of Applied Sciences, Vol. 9, Issue 12 · 12 Dec 2012 · 7,379 accessesView PDFCite