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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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Finite Difference Method for the Multi-Asset Black–Scholes Equations
In this paper, we briefly review the finite difference method (FDM) for the Black−Scholes (BS) equations for pricing derivative securities and provide the MATLAB codes in the Appendix for the one-, two-, and three-dimensional numerical ...
Sangkwon Kim +3 more
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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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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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Droplet dynamics in microfluidic applications is significantly influenced by surfactants. It remains a research challenge to model and simulate droplet behaviour including deformation, breakup and coalescence, especially in the confined microfluidic ...
Haihu Liu +5 more
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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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Finite Difference Method for the Reverse Parabolic Problem
A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied.
Charyyar Ashyralyyev +2 more
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A finite difference method for a numerical solution of elliptic boundary value problems
In this article, we have considered for numerical solution of a Poisson and Laplace equation in a domain. we have presented a novel finite difference method for solving the system of the boundary value problems subject to Dirichlet boundary conditions ...
P. Pandey, S. Jaboob
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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
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Hybrid finite difference/finite element immersed boundary method [PDF]
The immersed boundary method is an approach to fluid‐structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and incompressibility of the
Boyce E. Griffith, Xiaoyu Luo
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