Second Order Wave Equation
A Note on Stability of Longitudinal Vibrations of an Inhomogeneous Beam
... the second order wave equation and the fourth-order Euler-Bernoulli beam ...the wave equation in a bounded domain ...
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Generalized transformation design:Metrics, speeds, and diffusion
... exclusively second order approach in which a subset of variables satisfying a system of first order equations are expressed as a single second order ...(Helmholtz-like) second ...
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Second-order scalar wave field modeling with a first-order perfectly matched layer
... its second-order form, its absorption performance is obviously worse than that of the other three PML methods since it is based on a one-dimensional wave ...(first- order PML is used inside) ...
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A second order Fourier pseudospectral method for the generalized regularized long wave equation
... Burgers’ equation and Navier-Stokes equations by Weinan [], Fourier spectral projec- tion method for Navier-Stokes equations by Guo and Zou [], fully discrete (discrete both in space and time) pseudospectral ...
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The second order Klein Gordon field equation
... Dirac wave equation in the de Sitter universe, using the factorization of the second-order Casimir invariant operator associated to the so-called Fantappié-de Sitter ...
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Young measure solutions for a fourth-order wave equation with variable growth
... for second-order wave equations (even if p(x) ≡ constant = ) without the viscosity term ∂u ∂t have been found only in one space dimension; see DiPerna [] and Shearer ...
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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
... In this paper, a new numerical method is presented to approximate the solution of second order one- dimensional nonlinear wave equation. The method is based on collocation of exponential ...
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High-Order Time Discretization of The Wave Equation by Nabla-P Scheme.*
... the second one, which is sensitive to many parameters, such as the architecture of the platform, the type of parallelism (MPI, OpenMP,...) ... The complexity depends on the number of non zero elements of the ...
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BDF α : A Multistep Method with Numerical Damping Control
... stiff second order ODE system obtained after semidiscretizing the wave-type partial differential equation (PDE) with the finite element method (FEM), and similarly to the HHT- α method, which ...
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A Travelling Wave Group II: Antiparticles in a Force Field
... the second order relativistic equa- tion, using the travelling wave group, shows that the par- ticle has a positive group velocity and positive inertial ...relativistic equation, two are ...
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Solitary wave propagation and interactions for a sixth order generalized Boussinesq equation
... the second half of the last ...Boussinesq-type equation (see ...Boussinesq equation (BaBE) as the sign in front of the fourth-order derivative yields unpleasant numerical features [2, ...
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Nonlinear Evolution Equations for Second-order Spectral Problem
... satisfies the (m+1)-order long-wave equation (12). Remark: By Theorem 5.2, soliton waves have the following properties: when two of them interact, the larger soliton has been shifted to the right of ...
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A Posteriori Error Estimate for Streamline Diffusion Method in Soving a Hyperbolic Equation
... In this article, we use streamline diffusion method for the linear second order hyperbolic initial-boundary value problem. More specifically, we prove a posteriori error estimates for this method for the ...
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On a nonlinear functional second order integrodifferential equation in Banach Spaces
... abstract system for establishing the boundedness of solutions of the equation governing the transverse motion of an extensible beam. Our work in the present chapter is motivated by the interesting results obtained ...
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On the solution of an acoustic wave equation with variable order derivative loss operator
... describe wave propagation in complex media. When introduced in classical wave equations, they allow the modeling of attenuation and dispersion that better describes sound propagation in biological ...sound ...
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Online Full Text
... coefficient wave and diffusion equations. Our analysis of the wave is equation is particularly noteworthy because it is not based on a one-step time integration ...
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On a discontinuous beam-type equation with deviating argument in the curvature
... Remark . Notice that equation (.) does not imply the existence of L [u]() nor L [u](L). However, the fact of L [u] = v almost everywhere, joined with condition (.), is enough to guarantee that (.) makes ...
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Positive periodic solutions for a second-order functional differential equation
... of Equation (), such as the upper and lower solutions method and monotone iterative technique [–], the continuation method of topological degree [–], variational method and critical point theory [–], the ...
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Boundedness of solutions for a class of second-order differential equation with singularity
... Theorem Under the assumptions (.) and (.), all the solutions of (.) are bounded. The main idea of our proof is acquired from []. The proof of Theorem is based on a small twist theorem due to Ortega []. It ...
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Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave
... rogue wave in the x t coordinates, the maximum of ampli- tude equal to 2N + 1 = 15 and the degree of polynomials in x and t here equal to 56 as already formulated in ...
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