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N-DIMENSIONAL WAVE EQUATION

Radiation conditions and uniqueness theorems for  n -dimensional wave equation in an infinite domain.

Radiation conditions and uniqueness theorems for n -dimensional wave equation in an infinite domain.

... ° Let §(P^t) be a solution of the equation (4.18) in. G = D, bounded by S . Let P^ be an interior point of D. Suppose that a cen­ tral field exists with centre . containing the domain D and that we have functions ...

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Localized energy estimates of the wave equation on higher dimensional hyperspherical Schwarzschild spacetimes

Localized energy estimates of the wave equation on higher dimensional hyperspherical Schwarzschild spacetimes

... higher dimensional hyperspherical Schwarzschild ...for n ≥ 4. We adopt the notation d = n − 3 and write the (d + 4)-dimensional Schwarzschild manifold as M = R × (r s , ∞ ) × S d+2 , with line ...

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Identification of HPM and ADM for the (n+1)-dimensional Equal Width Wave Equation with Diffusion and Damping term

Identification of HPM and ADM for the (n+1)-dimensional Equal Width Wave Equation with Diffusion and Damping term

... In this chapter, homotopy perturbation method and adomian decomposition method have been successfully applied for solving (n+1)-dimensional Equal Width wave equation with damp- ing and ...

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Three dimensional Korteweg de Vries equation and traveling wave solutions

Three dimensional Korteweg de Vries equation and traveling wave solutions

... x is the direction of propagation while y and z are transverse variables. This model is essentially unidimensional when weak transverse effect are taken into consideration. In this paper, the author only consider the ...

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Numerical Estimation of Traveling Wave Solution of Two Dimensional K dV Equation Using a New Auxiliary Equation Method

Numerical Estimation of Traveling Wave Solution of Two Dimensional K dV Equation Using a New Auxiliary Equation Method

... long wave perturbations in the sys- tem becomes imaginary, which corresponds to the wave propagation in the range of nontransparency ...K-dV equation by the analysis of linearization procedure and is ...

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Analytical Treatment of the Evolutionary  (1 + 1) Dimensional Combined KdV mKdV Equation via the Novel (G'/G) Expansion Method

Analytical Treatment of the Evolutionary (1 + 1) Dimensional Combined KdV mKdV Equation via the Novel (G'/G) Expansion Method

... Traveling Wave Solutions of the (3 + 1)-Dimensional mKdV-ZK Equation and the (1 + 1)-Dimensional Compound KdVB Equation Using New Approach of the Generalized (G'/G)-Expansion ...

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Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas

Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas

... of Equation (1). Various solutions of Equation (4) were constructed using JEFs, and these re- sults were exploited in the design of a procedure for gen- erating solutions of ...s n   , m  ...

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LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

... ∈ N . ˜ (2) can be used, where ˜ M and ˜ N are smooth finite dimensional ...that equation (2) has all the topological and analytical properties of (1) (multiplicity, bifurcation diagram, etc) ...

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The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)

The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)

... Differential transform method is used to obtain the closed form solution of the (n+1) dimensional Equal Width Wave equation.In this method the solution is calculated in the form of the convergent ...

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Existence and exponential decay estimates for an N-dimensional nonlinear wave equation with a nonlocal boundary condition

Existence and exponential decay estimates for an N-dimensional nonlinear wave equation with a nonlocal boundary condition

... Motivated by the recent known results as regards the existence and exponential decay of solutions for wave equations, this paper is devoted to the study of an N-dimensional nonlinear wave ...

27

Periodic wave solutions of the two dimensional Toda lattice equation by a direct method

Periodic wave solutions of the two dimensional Toda lattice equation by a direct method

... super-KdV equation have cer- tain ...lattice equation in ...Painlevé equation with the Toda solution at n =  by using the Darboux ...diffusion equation and, as applications, discussed ...

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Numerical modelling of 1-dimensional wave equation using finite difference scheme

Numerical modelling of 1-dimensional wave equation using finite difference scheme

... linear wave equation is widely used model in mathematical ...this equation when the wave speed varies spatially can only be obtained in certain special ...describe wave propagation and ...

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A Study on FDM of Hyperbolic PDE in Comparative of Lax-Wendroff, Upwind, Leapfrog Methods on Numerical Analysis

A Study on FDM of Hyperbolic PDE in Comparative of Lax-Wendroff, Upwind, Leapfrog Methods on Numerical Analysis

... advection equation, this ambiguity is easily solved if we think that te differential equation will simply translate each point in the initial solution to the new position x+ v over a time interval in this ...

7

Numerical and experimental modelling of unsteady flow in rockfill embankments.

Numerical and experimental modelling of unsteady flow in rockfill embankments.

... under wave attack should be based on accurate d e t e rmination of the pore p r e ssure distribution w i t h i n the embankment for various wave ...and wave properties are given in ...o ...

293

THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS

THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS

... where d and A are non-zero constants with the conditions A > 0 and A 6= 1. The balance between the non-linear term and the term having the maximal order deriv- ative in (3.3) enables to determine the positive integer ...

10

Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation

Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation

... In this paper, the homogeneous balance method has been applied to obtain the new exact solutions of the (3+1) Jimbo-Miwa equation. This method has the advantages of being direct and concise. The method proposed in ...

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EXPONENTIAL B-SPLINE COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF ONE-SPACE DIMENSIONAL NONLINEAR WAVE EQUATION WITH STRONG STABILITY PRESERVING TIME INTEGRATION

EXPONENTIAL B-SPLINE COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF ONE-SPACE DIMENSIONAL NONLINEAR WAVE EQUATION WITH STRONG STABILITY PRESERVING TIME INTEGRATION

... In this section, we present the numerical results of present method on one linear and four nonlinear wave equations. We also compare obtained results with the results obtained by existing methods. For all the ...

12

Iterative three dimensional Helmholtz Equation solutions using the Wave Expansion Method

Iterative three dimensional Helmholtz Equation solutions using the Wave Expansion Method

... Direct methods, based on the above factorization are usually the choice in many codes where problem sizes are small enough so th a t the storage requirem ent do not exceed the available capacity. This is primarily due to ...

155

Solving damped wave equation using finite difference method and interpolation using cubic B-spline

Solving damped wave equation using finite difference method and interpolation using cubic B-spline

... 21. Minh, T. N., Shiono, K. and Masumoto, S. Application of General Cubic B- Spline Function (GCBSF) for Geological Surface Simulation. International Symposium on Geoinformatics for Spatial Infrastructure ...

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On the Partial Differential Equations with Non-Constant Coefficients and Convolution Method

On the Partial Differential Equations with Non-Constant Coefficients and Convolution Method

... differential equation with variable coefficients from the PDE with constant coefficients, however the most of the partial differential equations with variable coefficients depend on nature of particular problems, ...

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