two-dimensional wave equation
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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The Wave Equation and General Plane Wave Solutions in Fractional Space
... low dimensional systems ...low dimensional system which can have different degree of confinement in different orthogonal directions, ...1.8 dimensional, then it could be described as 1 + 0.8 ...
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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
... In this research direction, some researchers have investigated and proposed a few methods for the solution of FDWE. Ref. [3] had proposed the spectral tau method based on the Jacobi operational matrix to solve the FDWE. ...
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Numerical modeling of 1-dimensional wave equation using finite modal synthesis
... are two main objectives goes to achieve by this ...1-dimensional wave equation using finite modal ...1-dimensional wave through the variation of the system’s ...
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Hamiltonian Formulation for Water Wave Equation
... Laplace’s equation and the boundary conditions at the surface and ...nonlinear equation for shallow water wave ...water wave solutions using variation method. In this paper two ...
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Two-dimensional Wave Run-up Inundation Analysis
... run-up equation is based on data most similar to the study ...(2006) equation would be a better choice for very shallow sloping beaches ...(2006) equation may be considered more applicable than the ...
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Numerical Estimation of Traveling Wave Solution of Two Dimensional K dV Equation Using a New Auxiliary Equation Method
... u wave for different values of time t against ...u wave contour against t and ...the wave gradually increases. Figure 5(a) we found the u wave against t for different values of x while the ...
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Multi-rogue waves solutions to the focusing NLS equation and the KP-I equation
... KP-I equation become more sharp, since with respect to the NLS case, they are described by a square of the amplitude of the solution of the NLS equation shifted down on the constant − B 2 ...KP-I ...
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On the Partial Differential Equations with Non-Constant Coefficients and Convolution Method
... equations: wave equation, one dimensional heat flow, two dimensional heat flow, which in steady state becomes the two dimensional Laplace’s equation, Poisson’s ...
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THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS
... (KP) equation (sometimes it is called as the two- dimensional Korteweg- de Vries equation) appears in the earlier 70s to study the stability of solitary waves in weakly dispersive media ...
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Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas
... solitary wave solutions of the two dimensional regularized long-wave equation in plasma and rotating flows simulated by using extended mapping method, and we hope these solitary waves ...
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Localized energy estimates of the wave equation on higher dimensional hyperspherical Schwarzschild spacetimes
... General Relativity, or Einstein’s theory of relativity, is the discipline describing grav- itational influences via geometry. The theory is formulated on a Lorentzian manifold ( M , g) called spacetime, and describes how ...
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Periodic wave solutions of the two dimensional Toda lattice equation by a direct method
... periodic wave solutions and two-periodic wave solutions based on the Hirota method with the help of the Riemann theta function, where the periodic solutions of the KdV and Boussinesq equations were ...
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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 ...for two dimensional acoustic wave equation with discontinuous ...
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Three dimensional Korteweg de Vries equation and traveling wave solutions
... This equation has been called the one-dimensional Korteweg-de Vries equation (KdV equation for ...this equation went unappreciated for several decades until the early fifties when some ...
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Three Dimensional Inverse Scattering for the Classical Wave Equation with Variable Speed
... THREE DIMENSIONAL INVERSE SCATTERING FOR THE CLASSICAL WAVE EQUATION WITH VARIABLE SPEED Margaret Cheney, James H.. Rose, and Brian DeFacio Department of Mathematics, Duke University, Du[r] ...
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Discrete-Space Analysis of Partial Differential Equations
... The heat-flow and diffusion-type problems are fundamental physical processes which can be modeled as parabolic PDEs. These problems can happen in 1-dimensional, 2-dimensional or 3-dimensional ...
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LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... long wave in ...long-wave equation by using the variable separation ...long-wave equation,their study based upon the extended projective Riccati equations ...long wave ...
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Invariant Solutions of Two Dimensional Heat Equation
... Thus, in both cases, to find solutions that are invariant with respect to trans- formation groups, we must investigate a second-order linear equation with re- spect to V ( ) ξ , which depends on σ . As shown by ...
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Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
... nonlinear wave solutions are the cnoidal waves, solitons, solitary waves, shock waves, compactons, stumpons, covatons, cuspons, peakons propeller solitons and sev- eral many ...
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