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Generalized Finite Difference Method

The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test

The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test

... nodal method allowing irregular distribution of nodes in a natural way is one of the main advantages of the generalized finite difference method (GFDM) with regard to the classical ...

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Numerical Simulation in Electrocardiology Using
an Explicit Generalized Finite Difference Method

Numerical Simulation in Electrocardiology Using an Explicit Generalized Finite Difference Method

... meshless method differs to the best of our knowledge from other numerical approaches in the ...an Generalized Finite Difference Method (GFDM) for spatial discretization of the PDE ...

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Numerical Simulation of a Mathematical Model for
Cancer Cell Invasion

Numerical Simulation of a Mathematical Model for Cancer Cell Invasion

... In this paper we analyze a mathematical model of cancer cell invasion consisting of a system of partial differential equations which describes the interactions between cancer cells, the matrix degrading enzyme and the ...

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Application of smoothed particle hydrodynamics method in solving two dimensional shear driven cavity problems

Application of smoothed particle hydrodynamics method in solving two dimensional shear driven cavity problems

... a generalized finite difference method which can deal with arbitrary irregular ...element method (DEM) was born which formulate by applying moving least square approximations in ...

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Development of a Generalized Finite Difference Scheme for Convection-Diffusion Equation

Development of a Generalized Finite Difference Scheme for Convection-Diffusion Equation

... the finite difference method to solve PDEs on irregular ...new generalized finite difference method which we refer to as the Stencil Mapping ...the finite ...

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Generalized Alternating Direction Implicit Finite Difference Time Domain Method in Curvilinear Coordinate System

Generalized Alternating Direction Implicit Finite Difference Time Domain Method in Curvilinear Coordinate System

... ADI-NFDTD method can pro- vide results with less numerical error while using less computer memory and less simulation run ...ADI-NFDTD method is not an unconditionally stable ...

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Generalized finite difference/spectral Galerkin approximations for the time fractional telegraph equation

Generalized finite difference/spectral Galerkin approximations for the time fractional telegraph equation

... difference method for the two-parameter fractional telegraph equation and obtained a stability condition of the numerical ...element method for numerical simula- tion of the time-fractional telegraph ...

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Solving burger’s equantion using explicit finite difference method and method of line

Solving burger’s equantion using explicit finite difference method and method of line

... space-time finite element approach to Burgers’ equation, Kakuda and Tosaka (1990) used generalized boundary element method, Bar-Yoseph et ...element method on Burgers’s equation solution, Zhu ...

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Finite difference method for numerical solution of a generalized burgers-huxley equation

Finite difference method for numerical solution of a generalized burgers-huxley equation

... iteration method, which are based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the ...quadrature method (DQM) by Sari and Gurarslan in [2]. DQM is ...

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The Method of Finite Difference Regression

The Method of Finite Difference Regression

... be generalized by the following ...distributed finite differences denoted in Fig- ure 3 (shown with K = 8 ) by y y ′ ′′ , ,  and so ...This method would retain all the properties of finite ...

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On the Conservative Finite Difference Scheme for the Generalized Novikov Equation

On the Conservative Finite Difference Scheme for the Generalized Novikov Equation

... a difference scheme for the generalized Novikov ...conservative finite difference scheme for the generalized Novikov equation and use Brouwer fixed point theorem to obtain the existence ...

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Uncertain Volatility Derivative Model Based on the Polynomial Chaos

Uncertain Volatility Derivative Model Based on the Polynomial Chaos

... field. Method of lines used for the numerical solution of the system resulting from the generalized polynomial chaos and corresponding end- boundary value problems of a parabolic equation was solved ...

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Computational Studies of Bacterial Colony Model

Computational Studies of Bacterial Colony Model

... W  consists of the functions which are linear on each triangle (in the first case) or bilinear on each square (in the second case) and take the value 1 at one node of the spatial mesh and vanish at the other nodes. In ...

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A fast finite difference method for biharmonic equations on irregular domains

A fast finite difference method for biharmonic equations on irregular domains

... a finite difference discretization and a Cartesian grid is developed for two dimensional biharmonic equations on irregular domains with essential boundary ...proposed method. The number of iterations ...

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Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation

Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation

... The mimetic method for the steady diffusion equations (4.1) is too general for the purpose of our theoretical analysis. Therefore two simplifications are in order. They are the assumption that K is the identity ...

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Static And Dynamic Analysis Of Geogrid Reinforced Unpaved Road

Static And Dynamic Analysis Of Geogrid Reinforced Unpaved Road

...  Based on the numerical validation of the experimental results as per FEM and FDM method it was observed that for static load case, it was observed that for unreinforced case there is wide variation in FLAC2D ...

7

High Order Finite Difference Method for Helmholtz Equation in Polar Coordinates

High Order Finite Difference Method for Helmholtz Equation in Polar Coordinates

... sixth-order finite difference scheme and obtained a sixth-order approximation for the Neumann boundary ...sixth-order finite difference scheme of sixth-order for three-dimensional Helmholtz ...

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Immersed Boundary Method for Generalised Finite Volume and Finite Difference Navier-Stokes Solvers

Immersed Boundary Method for Generalised Finite Volume and Finite Difference Navier-Stokes Solvers

... Permanent repository link: http://openaccess.city.ac.uk/6940/ Link to published version: http://dx.doi.org/10.1016/j.jcp.2010.08.021 Copyright and reuse: City Research Online aims to mak[r] ...

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Immersed Boundary Method for Generalised Finite Volume and Finite Difference Navier-Stokes Solvers

Immersed Boundary Method for Generalised Finite Volume and Finite Difference Navier-Stokes Solvers

... We present an immersed-boundary algorithm for incompressible flows with complex boundaries, suitable for Cartesian or curvilinear grid system. The key stages of any immersed-boundary technique are the interpolation of a ...

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Hybrid Finite Difference/Finite Volume Method for 3-D Conducting Media Problems

Hybrid Finite Difference/Finite Volume Method for 3-D Conducting Media Problems

... hybrid method is chosen as ...hybrid method agree very well with that obtained by the method of moment (MOM) [15], as shown in ...hybrid method agree very well with that obtained by the ...

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