M. Mirzaei

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In this paper we presented a lattice Boltzmann with square grid for compressible flow problems. Triple level velocity is considered for each cell. Migration step use discrete velocity but continuous parameters are utilized to calculate density, velocity, and energy. So, we called this semi-discrete method. To evaluate the performance of the method the(More)
We introduce an optimization procedure for the Spectral Method and apply it as an extremely accurate technique for finding the bound states of the time-independent Schrödinger equation. In this method a finite basis is used for approximating the solutions. Although any complete orthonormal basis can be used, we discuss the Fourier basis. We present a(More)
The Mediterranean Region is one of the world's biodiversity hot-spots, which is also characterized by high level of endemism. Approximately 2100 species of leaf beetle (Coleoptera; Chrysomelidae) are known from this area, a number that increases year after year and represents 5/6% of the known species. These features, associated with the urgent need to(More)
During the past five years, it has been shown that carbon nanotubes act as an exceptional reinforcement for composites. For this reason, a large number of investigations have been devoted to analysis of fundamental, structural behavior of solid structures made of carbon-nanotube-reinforced composites (CNTRC). The present research, as an extension of the(More)
We present a refinement of the Spectral Method by incorporating an optimization method into it and generalize it to two space dimensions. We then apply this Refined Spectral Method as an extremely accurate technique for finding the bound states of the two dimensional time-independent Schrödinger equation. We first illustrate the use of this method on an(More)
We present perfect fluid Friedmann-Robertson-Walker quantum cosmological models in the presence of negative cosmological constant. In this work the Schutz's variational formalism is applied for radiation, dust, cosmic string, and domain wall dominated Universes with positive, negative, and zero constant spatial curvature. In this approach the notion of time(More)
We introduce three distinct, yet equivalent, optimization procedures for the Fourier Spectral Method which increase its accuracy. This optimization procedure also allows us to uniquely define the error for the cases which are not exactly solvable, and this error matches closely its counterpart for the cases which are exactly solvable. Moreover, this method(More)
We demonstrate an application of the spectral method as a numerical approximation for solving Hyperbolic PDEs. In this method a finite basis is used for approximating the solutions. In particular, we demonstrate a set of such solutions for cases which would be otherwise almost impossible to solve by the more routine methods such as the Finite Difference(More)
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