Test problem 4. Two-dimensional wave equation
Periodic wave solutions of the two dimensional Toda lattice equation by a direct method
... Full list of author information is available at the end of the article Abstract Hirota bilinear method is proposed to directly construct periodic wave solutions in terms of Riemann theta functions for (2 + ...
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A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients
... for two dimensional acoustic wave equation in heterogenous ...the problem on smooth regions and a nonstandard method for nonsmooth ...for two dimensional acoustic ...
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A boundary value problem for the wave equation
... Keywords and phrases. Selfadjoint, eigenvalue, eigenfunction, compact operator, singular value decomposition, Fredholm alternative. 1991 Mathematics Subject Classification. 35L20, 35P05. 1. Introduction. The well-known ...
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Numerical Solution of an Optimal Control Problem Governed by Two Dimensional Schrodinger Equation
... control problem controlled by two functions which are in the coefficients of two-dimensional Schrodinger ...the two-dimensional Schrodinger ...considered equation is ...
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A Method for Solving the Three dimensional Wave Equation
... *Corresponding Author: [email protected] Copyright © 2013 Horizon Research Publishing All rights reserved. Abstract On the basis of the Laplace integral transform, locally one-dimensional scheme of cleavage and ...
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ON OPTIMIZATION METHOD IN THE NEUMANN PROBLEM FOR WAVE EQUATION
... Neumann problem is considered for the wave equation in two-dimensional ...inverse problem is proved. In the optimal control problem compared to the inverse problem, ...
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Numerical Estimation of Traveling Wave Solution of Two Dimensional K dV Equation Using a New Auxiliary Equation Method
... Vries equation with traveling solitary waves and numerical estimation of analytic solutions have been ...traveling wave solutions with relevant physical parameters using new auxiliary equation method ...
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On the Performance of Sequential and Parallel Algorithm for Solving the Forward Problem of the Two-Dimensional Impedance Equation
... R Γ (u c | Γ − u app ) 2 dl 1 2 end function One of the most significant differences between sequential 1 and parallel Algorithm 2 is that for the parallel one we transformed the structs into arrays because while working ...
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On a degenerate boundary value problem to the two-dimensional self-similar nonlinear wave system
... value problem arising from the study of the two-dimensional Riemann problem to the nonlinear wave ...nonlinear wave system into a new system, which displays a clear ...
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A minimum effort optimal control problem for the wave equation.
... 6 Discretization To realize Algorithm 5.1 numerically we present the discretization of problem (5.25) for data given by (5.26)–(5.27). For the discretization of the state equation we apply a continuous ...
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Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions
... simulate two-dimensional wave equation subject to given appropriate initial and Neumann’s boundary ...A two-step time discretization method with the help of Crank-Nicolson technique is ...
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Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... paper, two-dimensional Genocchi polynomials and the Ritz–Galerkin method were developed to investigate the Fractional Diffusion Wave Equation (FDWE) and the Fractional Klein–Gordon ...
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Modelling of Flood Wave Propagation with Wet-dry Front by One-dimensional Diffusive Wave Equation
... flood wave propagation, there are certain problems related to the solution of these equations over a dry area with a moving wet-dry ...This problem is mainly connected with the numerical discretization of ...
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ONE DIMENSIONAL FUZZY WAVE EQUATION WITH LAPLACE TRANSFORMATION Dhanjit Talukdar
... 11. H.C. Wu, The fuzzy Riemann integral and its numerical integration, Fuzzy Set and Systems 110(2000)1-25. 12. I.Perfilieva, Fuzzy transforms :Theory and Applications, Fuzzy Sets and Systems 157(2006)993-1023. 13. ...
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Exact controllability for a one-dimensional wave equation with the fixed endpoint control
... where u is the state variable, v is the control variable and (u , u ) ∈ L (, ) × H – (, ) is any given initial value. Equation (.) may describe the motion of a string with a fixed endpoint and a moving ...
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Two-dimensional Wave Run-up Inundation Analysis
... with two- dimensional hydrodynamic modelling to characterize inundation of ...synthetic wave field is developed for input to the hydrodynamic ...synthetic wave field is calibrated to ensure ...
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On a non-local problem for a multi-term fractional diffusion-wave equation
... diffusion equation with time-fractional derivative corresponds to a continuous time random walk model where the characteristic waiting time elapsing between two successive jumps diverge, but the jump length ...
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Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics
... Cauchy problem for the following equation in 𝑅 𝑛 ...our problem is in 𝑘 dimensional case on 𝐻 0 𝑚 and involves another nonlinear term 𝑢 𝑙𝑜𝑔 𝑢 𝑘 ; there is no restrictions on the coefficient of ...
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An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation
... are two-dimensional nonlinear waves of permanent form that travel with constant speed c in a direction that makes an angle θ with the y-axis, and can be expressed ...
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Two-dimensional particle solution of the extended Hamilton-Jacobi equation
... However, such a soliton is unstable with respect to small perturbations. Because of the linear nature of the source, long-wave perturbations of the platform on which the soliton rests are amplified and the whole ...
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