Nonstandard finite difference
Nonstandard finite difference schemes for a fractional order Brusselator system
... Ongun et al Advances in Difference Equations 2013, 2013 102 http //www advancesindifferenceequations com/content/2013/1/102 R ES EA RCH Open Access Nonstandard finite difference schemes for a fraction[.] ...
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A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws
... implicit nonstandard finite difference scheme for conserva- tion laws preserving total variation diminishing (TVD) property, is ...classical difference scheme is ...
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A nonstandard finite difference scheme for solving fractional-order model of HIV-1 infection of CD4^{+} t-cells
... A BSTRACT In this paper , we introduce fractional-order into a model of HIV1 infection of CD4 + Tcells . We study the effect of the changing the average number of viral particles N with different sets of initial ...
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A nonstandard finite difference scheme for a multi group epidemic model with time delay
... In this paper, a discrete multi-group epidemic model with time delay has been constructed by applying a nonstandard finite difference (NSFD) scheme to a class of continuous multi- group model. The advantage of the ...
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Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations
... standard finite difference (SFD) or finite element dis- cretizations are widely used, see for example ...imply finite difference schemes that are nonstandard in the sense of ...
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Exact finite difference scheme and nonstandard finite difference scheme for coupled Burgers equation
... number. Among various techniques for solving the coupled Burgers equation, the non- standard finite-difference (NSFD) schemes have been proved to be one of the most effi- cient approaches in recent years. Compared with some ...
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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 that ...
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A nonstandard finite difference scheme for solving three-species food chain with fractional-order Lotka-Volterra model
... help us understand the population dynamics of analyzed biological systems. Mathematical models of predator-prey systems, characterized by decreasing growth rate of one of the interacting populations and increasing growth ...
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Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients
... In this paper, the idea of nonstandard finite difference discretization is employed to develop two variational integrators for the nonlinear Schrödinger equation with variable coefficients. These integrators are ...
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Approximation of the Huxley equation with nonstandard finite-difference scheme
... Table 8 shows comparison of the presented NSFD scheme with explicit exponential finite difference method (EFDM) in [9] for various values of x and t with β = 1 and γ = 0.001. According to the results presented in ...
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A dynamically consistent nonstandard finite difference scheme for a predator–prey model
... The interaction between prey and predator is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of predator and prey interaction with non-overlapping ...
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A Logarithmic Finite Difference Method for Troesch’s Problem
... smart nonstandard finite difference for second order nonlinear boundary value problem [3], the finite element method and How to cite this paper: Ismail, ...
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Sobolev Gradient Approach for Huxley and Fisher Models for Gene Propagation
... central difference formulas fo stimating the first and second ...of difference formula is not central to the theoretical development in this paper, other choices would also ...
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On some slope-limiter methods for the linear advection equation
... than finite volume methods that are not slope-limiter methods, therefore, slope- limiter methods should be applied to solve the linear advection equation in particular, and conservation laws in ...
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Interaction of a Sine Wave with an Artificial Negative Permittivity Medium Using Nonstandard FDTD
... Nonstandard Finite Difference Time Domain (NS-FDTD) analysis is a highly preferable algorithm owing to its manifold advantages like greater accuracy, enormous reduction in grid point, higher stability and ...
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Numerical Modeling for Transmission Dynamics of Hepatitis B Virus Disease
... The model of transmission dynamics of Hepatitis B virus disease consumes introduced expending PSITModel. (i.e Threatened, Susceptible, Infected and Treated). The constancy of solid positions i.e the Disease free ...
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Lists in a Lighthouse
... the class of subdirectly irreducibles in V is axiomatized by θ, then V is finitely based. Using Mal’cev’s description of congruence generation (Theorem A.9) it is not difficult to see that the concept of subdirect ...
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The Best Finite Difference Scheme for the Helmholtz Equation
... point difference operators for sufficiently smooth solu- ...best difference approximation to the Helmholtz equation in rectangular domain is given in Section ...
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Finite difference methods with application to the cavity problem
... Given the mesh transformations for the problem under consideration, the solution scheme follows the basic pattern laid down in §3 .4 except that 1 the original graded meshes are picked b[r] ...
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Finite Difference Formulation of Fin for Electronics Cooling
... Extensions on the finned surfaces is used to increases the surface area of the fin. When the surface area increase then more fluid contact will increase the rate of heat transfers from the base surface as compare to fin ...
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