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7 results for “propagation of wave equations”

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Research ArticleOpen accessIn the keywordsNonlinear 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 · 7,680 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Rotation Effect on Shear Horizontal Surface Wave in a Piezoelectric Semi-Space Covered by a Semiconductor FilmFatimah AlshaikhIn this study, a mathematical model of the rotation effect on Shear Horizontally wave (SH-wave) propagation in a piezoelectric semi-space covered by a semiconductor film is investigated. The semiconducting layer is rotating with a constant angular velocity and the interface between the piezoelectric substrate and the semiconductor layer is imperfectly bonded. Furthermore, the surfaces of the bilayer system assumed free … …Journal of Mathematics and Statistics, Vol. 13, Issue 2 · 29 Apr 2017 · 7,211 accessesView PDFCite
Research ArticleOpen accessIn the abstractTime Dimension Parameters of the Dual-Porosity Reservoir Determination using Periodic Hydraulic Pulse TestingMarat Ovchinnikov, Kushtanova Galiya GatinishnaThe process of periodic hydraulic pulses propagation in porous fractured media of dual-porosity near a vertical well is considered. Using the calculation data as the base, it is shown that the effect of the time dimension constant on the form of the filtration wave curves is essential. The conclusions on possibility of hydrodynamic model types verification which adequately describe the … …American Journal of Environmental Sciences, Vol. 12, Issue 5 · 9 Sep 2016 · 6,991 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 abstractNumerical 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 abstractNumerical Study on the Effect of Linear Friction of Long-Wave Propagation and Breaking with Sloping BottomAgustinus RibalIn this study, we investigate the breaking of long-waves propagating on shallow water with linear 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. 3, Issue 4 · 31 Dec 2007 · 6,853 accessesView PDFCite
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 PDFCite