Complete centered finite difference method for Helmholtz equation [PDF]
A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace, and determining the coefficients of the linear ...
GUSTAVO B. ALVAREZ+2 more
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Efficient interface conditions for the finite difference beam propagation method [PDF]
It is shown that by adapting the refractive indexes in the vicinity of interfaces, the 2-D beam propagation method based on the finite-difference (FDBPM) scheme can be made much more effective. This holds especially for TM modes propagating in structures
Hoekstra, H.J.W.M.+2 more
core +3 more sources
Difference potentials method based on LOD splitting technique for nonlinear convection–diffusion equations with interfaces [PDF]
In this paper, we construct a difference potentials method (DPM) based on the locally one-dimensional (LOD) technique to solve the two-dimensional nonlinear convection-diffusion interface problems. The advantage of using the LOD scheme is that the linear
Mahboubeh Tavakoli Tameh+1 more
doaj +1 more source
Modeling and simulation sedimentation process using finite difference method
The goal of this research is to develop a numerical model that can be used to simulate the sedimentation process under two scenarios: first, the flocculation unit is on duty, and second, the flocculation unit is out of commission. The general equation of
Naser Mohammed Abed+1 more
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Hybrid Spectral Difference/Embedded Finite Volume Method for Conservation Laws [PDF]
A novel hybrid spectral difference/embedded finite volume method is introduced in order to apply a discontinuous high-order method for large scale engineering applications involving discontinuities in the flows with complex geometries.
Choi, Jung J.
core +1 more source
Efficient Numerical Simulation of Biochemotaxis Phenomena in Fluid Environments
A novel dimension splitting method is proposed for the efficient numerical simulation of a biochemotaxis model, which is a coupled system of chemotaxis–fluid equations and incompressible Navier–Stokes equations.
Xingying Zhou+3 more
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Investigation of calculation techniques of finite difference method
Finite difference method used for microstrip transmission line analysis is considered in this article. Paper mainly deals with iterative and bound matrix calculation techniques of finite difference method.
Audrius Krukonis
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Modal fields calculation using the finite difference beam propagation method [PDF]
A method is described to construct modal fields for an arbitrary one- or two-dimensional refractive index structure. An arbitrary starting field is propagated along a complex axis using the slowly varying envelope approximation (SVEA).
de Ridder, R.M.+4 more
core +2 more sources
The Finite Difference Method Of Discontinuous Constraint Slabs
With the improvement of building standard, structural form becomes more and more complicated. The utility rate of special-shaped column, corner window and cantilever structure is higher and higher, which often makes reinforced concrete floor slabs in a ...
Wang J.C.+3 more
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Room Acoustic Simulation Using Finite Difference Time Domain Method [PDF]
The growing use of industrial machinery, household appliances and etc, has increased undesirable noises. Thus, the need to control and reduce the undesirable noises in a closed space has caused a lot of interest in recent years.
mahdi nili ahmad abadi+2 more
doaj +1 more source