# Multipoint Explicit Differencing (MED) for Time Integrations of the Wave Equation

## Related Articles

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Present results concern the general scientific tendency dealing with mathematical modeling and analytical study of electromagnetic field phenomena described by the systems of partial differential equations. Specific electrodynamic engineering process with expofunctional influences is simulated...

- On Blow-Up Structures for a Generalized Periodic Nonlinearly Dispersive Wave Equation. Ying Wang; Yunxi Guo; Fang Li // Mathematical Problems in Engineering;2014, p1
The local well-posedness for a generalized periodic nonlinearly dispersive wave equation is established. Under suitable assumptions on initial value u0, a precise blow-up scenario and several sufficient conditions about blow-up results to the equation are presented.

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The consistency condition associated with the feasibility of setting out the twistor equation in curved space-times is considered within the frameworks of the Infeldâ€“van der Waerden Î³[variant_greek_epsilon]-formalisms. It appears that the [variant_greek_epsilon]-formalism version of...

- REGULARITY AND STABILITY OF A WAVE EQUATION WITH A STRONG DAMPING AND DYNAMIC BOUNDARY CONDITIONS. FOURRIER, NICOLAS; LASIECKA, IRENA // Evolution Equations & Control Theory;Dec2013, Vol. 2 Issue 4, p631
We present an analysis of regularity and stability of solutions corresponding to wave equation with dynamic boundary conditions. It has been known since the pioneering work by [26, 27, 30] that addition of dynamics to the boundary may change drastically both regularity and stability properties...

- Gas-dynamic analogy for vortex free-boundary flows. Teshukov, V. M. // Journal of Applied Mechanics & Technical Physics;May2007, Vol. 48 Issue 3, p303
The classical shallow-water equations describing the propagation of long waves in flow without a shear of the horizontal velocity along the vertical coincide with the equations describing the isentropic motion of a polytropic gas for a polytropic exponent Î³ = 2 (in the theory of fluid wave...

- Numerical Simulation of Generalized Symmetric Regularized Long-wave Equations with Damping Term. Jun Zhou // International Journal of Digital Content Technology & its Applic;Mar2013, Vol. 7 Issue 6, p1142
In this paper, we study a numerical simulation method for the initial-boundary problem of dissipative of the generalized symmetric regularized long-wave equations with damping term. A nonlinear-implicit Crank-Nicolson finite difference scheme is constructed. The scheme is a two-leveled scheme....

- MATHEMATICAL MODELING OF WAVE PROPAGATION IN THE FINITE HOMOGENEOUS LINES. DMITRIEVA, Irina // Hyperion International Journal of Econophysics & New Economy;2013, Vol. 6 Issue 2, p219
We propose mathematical modeling of wave propagation in the finite homogeneous isotropic lines under the so called "expo functional" influences. Spatial and temporal coordinates vary in arbitrary finite intervals. Analytical study bases on the explicit solution of the corresponding boundary...

- Numerical Modeling of the Wave Breaking. Lungu, Adrian; Pacuraru, Florin; Ungureanu, Costel // AIP Conference Proceedings;9/30/2010, Vol. 1281 Issue 1, p107
Two and three dimensional numerical investigations of viscous incompressible free surface flows are presented. The Reynolds averaged Navier-Stokes (RANS hereafter) equations are coupled with the continuity equation and solved by using a finite-difference method (FDM hereafter). A boundary fitted...

- Nonclassical symmetry reductions for the dispersive wave equations in shallow water. Lou, Sen-yue // Journal of Mathematical Physics;Dec92, Vol. 33 Issue 12, p4300
All (six types of) the similarity reductions of the dispersive wave equations in shallow water are obtained by the direct method. The group explanation of the results is also given. It is pointed out that, in order to find all the results by nonclassical Lie approach, two additional condition...