numerical finite difference model
Numerical Modeling for Transmission Dynamics of Hepatitis B Virus Disease
... Non-Standard Finite Difference (NSFD) structurefor a mathematical model of ...introduce numerical array is bounded, dynamically designate and contain the positivity of the solution, which is ...
7
Numerical Simulation in Electrocardiology Using an Explicit Generalized Finite Difference Method
... This represents a two-dimensional slice of the cardiac muscle regarded as an anisotropic continuous media. We consider the case of the irregular model with 289 nodes given in Figure 1, corresponding to anisotropic ...
5
Lax Friedrich Scheme for the Numerical Simulation of a Traffic Flow Model Based on a Nonlinear Velocity Density Relation
... flow model based on a non-linear velocity-density function is ...The model provides a quasi-linear first order hyperbolic partial differential equation which is ap- pended with initial and boundary data and ...
9
Numerical Study of Fisher’s Equation by Finite Difference Schemes
... such model problem, for example, Abdullaev [4] has studied the stability of symmetric travelling waves in the Cauchy problem for a more general case, also Logan has studied this problem using a perturbation method ...
17
A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo
... mathematical model of a spatial pattern in chemical and biological systems is investigated ...proposed model considered as a nonlinear reaction-diffusion ...on finite difference and ...
12
Numerical dynamics of a nonstandard finite difference θ method for a red blood cell survival model
... In this article, by a nonstandard finite-difference- θ (NSFD- θ ) method we study the dynamics of a discrete red blood cell survival model. Firstly, the linear stability of the model is discussed. It is found ...
12
A Mathematical Model for the Exhaust Gas Temperature Profile of a Diesel Engine
... transfer model for the exhaust gas of a diesel power generator to determine the gas temperature profile in the exhaust ...The numerical methodology to solve the mathematical model was developed using ...
7
Numerical modelling of 1-dimensional wave equation using finite difference scheme
... The linear wave equation is widely used model in mathematical physics. However, explicit solutions for this equation when the wave speed varies spatially can only be obtained in certain special cases. These ...
24
On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes
... of numerical techniques for solving these equations (see ...convenient model for analyzing the stability is provided by a proper unconditionally absolutely stable difference scheme with an unbounded ...
34
Physical and numerical constraints in source modeling for finite difference simulation of room acoustics
... In finite difference time domain simulation of room acoustics, source functions are subject to various ...the numerical scheme being ...for finite difference simulation, by first ...
12
A NUMERICAL TECHNIQUE FOR THE SOLUTION OF GENERAL EIGHTH ORDER BOUNDARY VALUE PROBLEMS: A FINITE DIFFERENCE METHOD
... our finite difference method and in Section 3 the derivation of the proposed finite difference ...on model problems and short discussion on numerical ...
7
Comparison of a finite difference and a mixed finite element formulation of the uniaxial perfectly matched layer
... mixed finite element method for the time domain discretization of the UPML to simu- late wave propagation in unbounded domains in two ...bilinear finite elements for the electric field and the lowest order ...
44
Numerical Simulation of Fragment-Type Antenna by Using Finite Difference Time Domain (FDTD)
... be set as 10000. Fig. 6(a) provides a set of design model generated randomly. The prototype of this design is fabricated as shown in Fig. 6(b), and the numerical results are shown in Fig. 6(c). At this ...
10
Numerical Verification of Transition’s Energies of Excitons in Quantum Well of ZnO with the Finite Difference Method
... bulk semiconductor is very close to a discrete model. And as we know, the realistic physics of the Schrödinger equation arises from its equivalence to a tightbiding model for crystalline solid [1], in both ...
6
Development of a Cell-Centred Finite Difference Numerical Methodology on Triangulated Domains
... Delaunay triangulation in a plane ensures that the circumcircle associated with each triangle contains no other mesh points in its interior domain [11]. Note that triangular elements may create problems in structural ...
100
High speed computing of ice thickness equation for ice sheet model
... many numerical computations that has been computed by using CUDA that utilized GPU to minimize the computational ...compact finite difference method with a higher order is used to obtain the solution ...
7
Computational Studies of Bacterial Colony Model
... the finite difference method and Galerkin finite element ...the numerical schemes used. Further, we present the numerical results obtained by solving the model in a cubic ...
11
A Study on Numerical Stability of Finite Difference Formulae for Numerical Differentiation and Integration
... is bounded, then the discretization error goes to zero as 0 , but the round off error goes if we assume that ∆ ∆ does not decrease. Hence, ′ gives good approximation only at optimum value of . If is small and approaches ...
10
Laplace
... Then one has to rely on purely numerical methods, like solving finite-difference versions of the Laplace's equation, finite element methods (FEM) or some other method.. This means that a[r] ...
16
A FINITE DIFFERENCE MODEL FOR VALUATION OF EMPLOYEE STOCK OPTIONS
... a model where the price of the grant obeys the Black-Scholes differential equation with two additional parameters: one which controls the rate at which employees forfeit unvested options, and another which ...
12