This article discusses on the solution of the regularized long wave (RLW) equation, which is introduced to describe the development of the undular bore, has been used for modeling in many branches of science and engineering. A numerical method is presented to solve the RLW equation. The main idea behind this numerical simulation is to use the collocation and approximating the solution by radial...

We study the evolution of supernova core from the beginning of gravitational collapse of a 15M⊙ star up to 1 second after core bounce. We present results of spherically symmetric simulations of core-collapse supernovae by solving general relativistic ν-radiation-hydrodynamics in the implicit time-differencing. We aim to explore the evolution of shock wave in a long term and investigate the form...

In this paper the long time asymptotic behavior of solutions of semilinear symmetric hyperbolic system including Maxwell s equations and the scalar wave equation in an ar bitraty domain are investigated The possibly nonlinear damping term may vanish on a certain subset of the domain It is shown that the solution decays weakly to zero if and only if the initial state is orthogonal to all station...

In this paper we investigate the pseudoparabolic equation ∂tc = div { k (c) μ ( − P ′ C (c)∇c + τ∇∂tc + gρen )} , where τ is a positive constant, c is the moisture content, k is the hydraulic conductivity and PC is the static capillary pressure. This equation describes unsaturated flows in porous media with dynamic capillary pressure saturation relationship. In general, such models arise in a n...

Scattering of ortho positronium (Ps) by cesium and rubidium atoms has been investigated employing a three-Ps-state coupled-channel model with Ps(1s,2s,2p) states using a time-reversal-symmetric regularized electronexchange model potential. We find a narrow S-wave singlet resonance at 5.057 eV of width 0.003 eV in the Ps-Rb system and at 5.067 eV of width 0.003 eV in the Ps-Cs system. Singlet P-...

In this article, we develop a high-order efficient numerical scheme to solve the initial-boundary problem of the MRLW equation. The method is based on a combination between the requirement to have a discrete counterpart of the conservation of the physical "energy" of the system and finite difference method. The scheme consists of a fourth-order compact finite difference approximation in space a...

This dissertation addresses the problem of interpolating irregularly spaced seismic exploration data to regular spatial locations. This problem arises in practice in three-dimensional seismic exploration in such applications as Kirchhoff prestack migration, multiple elimination, waveequation migration, and 4-D seismic monitoring. I formulate data regularization as a linear-estimation problem an...

optical interferometry is being used as an efficient tool to analyse smooth surfaces for more than a century. although, due to introduction of novel computer assisted analyzing techniques and array detectors, like ccd, the speed and the precision of processing have been increased tremendously, but the main equation involved is not changed. the main equation is the intensity distribution in the ...