Two-dimensional Wave Equations
Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas
... for two classes of nonlinear evolution equations (NEEs) with logarithmic derivative BTs in soliton ...obtained two classes of PDEs with variable coefficients possessing FIDs, including the KdV and ...
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Complex Wave Solutions to Mathematical Biology Models II: Two Dimensional Fisher and Nagumo Equations
... the two dimensional Fisher ...in two space dimension. The complex-valued traveling wave solutions to the two dimensional Fisher and Nagumo equations are set in forms a ...
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Splines For Two-Dimensional Partial Differential Equations
... linear equations re- ...The equations are dealt according to its types, namely Poisson’s, heat, and wave ...These equations are the simplest form of elliptic, parabolic, and hyperbolic partial ...
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Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
... following two sub-sections. In the first case, the regular dispersive long wave equations will be studied, while in the second section, the power law nonlinearity will be ...traveling wave ...
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Two-dimensional Wave Run-up Inundation Analysis
... run-up equations with two- dimensional hydrodynamic modelling to characterize inundation of ...synthetic wave field is developed for input to the hydrodynamic ...synthetic wave field is ...
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Skew-varicose instability in two-dimensional generalized Swift-Hohenberg equations
... SVI boundary for stress-free and no-slip convection from the Boussinesq equations for convection. However, the perturbation terms that they included in their calcula- tions do not adequately capture the mechanism ...
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Skew-varicose instability in two-dimensional generalized Swift-Hohenberg equations
... SVI boundary for stress-free and no-slip convection from the Boussinesq equations for convection. However, the perturbation terms that they included in their calcula- tions do not adequately capture the mechanism ...
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A Crank–Nicolson collocation spectral method for the two dimensional telegraph equations
... graph equations has significant meaning. However, the telegraph equations in the real- world problems usually include the complex known data, such as the complicated initial and boundary value conditions, ...
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Higher Order Numerical Solution of Two Dimensional Coupled Burgers’ Equations
... Two-Dimensional Coupled Burgers’ Equation, Hopf-Cole Transformation, Higher-Order Accurate Numerical Schemes 1. Introduction The Burgers’ equation is an important non-linear parabolic partial differential ...
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Particle trajectories beneath wave-current interaction in a two-dimensional field
... a two- dimensional wave-current field based on the fully Lagrangian framework, and to derive asymptotic solutions that can be used to describe the dynamics for the entire flow ...water wave, ...
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Tsunami Wave Propagation Models based on Two Dimensional Cellular Automata
... the wave fronts. The hypothetical models used are modeled by means of a two dimensional array of 512 X 512 ...following equations, only the wave fronts at times t = 10 k, with k S , 0 ...
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Solving Two-dimensional Euler Equations on GPU
... for two-dimensional airfoil governed by Euler equations on GPU using ...mesh. Two dimensional CUDA blocks are used to manage threads in the ...three dimensional thread blocks, ...
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Travelling Wave Solutions for Three Dimensional Incompressible MHD Equations
... MHD equations, there is a possibility for different types of waves that would propagate through the ...governing equations allows to generalize insights from linear to nonlinear wave package ...
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A collocation spectral method for two-dimensional Sobolev equations
... Abstract This article mainly studies a collocation spectral method for two-dimensional (2D) Sobolev equations. To this end, a collocation spectral model based on the Chebyshev polynomials for the 2D ...
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Orthogonal Collocation Method of the Two dimensional Burgers Equations
... The Finite Collocation Method for initial boundary value problem of two dimensional heat conduction equation[J], Journal of Shandong University, 03 (1994), 266-272. The characteristic C[r] ...
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Geodesic Webs on a Two-Dimensional Manifold and Euler Equations
... Moreover, adding the condition tr R = 0, or α x − β y + 3(σ x − τ y ) = 0, (15) does not produce any new compatibility condition. In other words, assuming conditions (14) for α and β, the PDE system of equations ...
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Mathematical Solution of Two Dimensional Advection-Diffusion Equations
... Advection-Diffusion Equations (ADE) in two dimensions to obtain crosswind integrated normalized concentration, consider wind speed and the vertical eddy diffusivity 'K z ' are ...of two and ...
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Modelling wave propagation in two dimensional structures using a wave/finite element technique
... The method has been applied to several examples. The first example concerns the out–of– plane vibration of an isotropic plate. Using this example some considerations about general features of the method have been drawn. ...
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High order locally one dimensional methods for solving two dimensional parabolic equations
... Abstract Based on the locally one-dimensional strategy, we propose two high order finite difference schemes for solving two-dimensional linear parabolic equations. In the first method, ...
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A Seven Dimensional System of the Navier Stokes Equations for a Two Dimensional Incompressible Fluid on a Torus
... Abstract A seven-mode truncation system of the Navier-Stokes equations for a two-dimensional incompressi- ble fluid on a torus is considered. Its stationary solutions and stability are presented; the ...
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