Difference Scheme
Numerical modelling of 1-dimensional wave equation using finite difference scheme
... and just exist in plane wave. Means that, the derivation of 1-dimensional equation is from second partial derivatives and can be derived by using Maxwell and Newton’s 2 nd Law equation. The finite difference ...
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Mean Square Convergent Finite Difference Scheme for Stochastic Parabolic PDEs
... finite difference and finite element schemes, have been considered [1]-[9], ...finite difference scheme in both space and ...finite difference schemes by three points under the following ...
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Development of a Generalized Finite Difference Scheme for Convection-Diffusion Equation
... Finite Difference scheme was to obtain a finite difference formulation that could handle an arbitrary distribution of nodes in a mesh without having to introduce coordinate ...numerical scheme ...
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Combined Compact Difference Scheme for Solving Unsteady Convection Diffusion Equations
... discrete scheme for the convection term, a fourth-order central difference scheme for the diffusion term, we construct a boundary scheme that matches the interior point and obtain a stable ...
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Optical Waveguide Modelling Based On Scalar Finite Difference Scheme
... Abstract. A numerical method based on scalar finite difference scheme was adopted and programmed on MATLAB ® platform for optical waveguide modeling purpose. Comparisons with other established methods in ...
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A conservative finite difference scheme for Poisson–Nernst–Planck equations
... Nicolson scheme in time, and simulated an ion channel subjected to time-dependent ...finite difference scheme as in [3] but in three dimensions, notable in that it di- rectly included gating and ...
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On the Conservative Finite Difference Scheme for the Generalized Novikov Equation
... a difference scheme for the generalized Novikov ...finite difference scheme for the generalized Novikov equation and use Brouwer fixed point theorem to obtain the existence of the solution for ...
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Multisymplectic Structure of a Finite Difference Scheme for a Complex Nonlinear System
... Abstract: A Numerical study for the complex nonlinear system (coupled 1D nonlinear Schrödinger system (CNLS)) is considered as a Model for Complex Nonlinear System which is also a model for wave-wave interaction in ionic ...
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Finite-Difference Scheme for Initial Boundary Value Problems in Financial Mathematics
... finite-difference scheme of second-order of local approximation on uniform grids for the initial boundary problem value for the Gamma equation through the establishment of two-side estimates for the ...
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Reducing Communication Overhead of the Subset Difference Scheme
... subset difference scheme, its formal security analysis and traitor tracing technique were all proposed in this same ...NNL-SD scheme and reduced the user storage ...NNL-SD scheme was extended ...
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A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems
... The class of three-dimensional quasilinear hyperbolic systems is studied. The formulation of initial boundary value problem for this class of quasilinear hyperbolic systems in two variants is given. A priori estimate of ...
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Uniform Difference Scheme on the Singularly Perturbed System
... finite difference scheme on a uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter is constructed and ana- ...
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High-accuracy Alternating Difference Scheme for the Fourth-order Diffusion Equation
... parallel difference scheme for the fourth-order diffusion equation is ...asymmetric difference schemes, a high-order, unconditionally stable and parallel alternating group explicit scheme is ...
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A dynamically consistent nonstandard finite difference scheme for a predator–prey model
... Predator–prey interactions belong to the most important ways that species interact in ecological communities. Predator–prey models can reasonably be seen as the building blocks for the ecosystems. Mathematical models ...
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Finite difference scheme for multi term variable order fractional diffusion equation
... In this paper, a finite difference scheme has been proposed to solve a multi-term time- space variable-order fractional diffusion equation. The stability and convergence have been analyzed by the mathematical ...
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A nonstandard finite difference scheme for a multi group epidemic model with time delay
... (NSFD) scheme. A crucial observation regarding the advantage of the NSFD scheme is that the positivity and boundedness of solutions of the continuous model are ...
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Compact difference scheme for two dimensional fourth order hyperbolic equation
... difference scheme for the problem, we apply the compact finite difference operators to obtain a fourth-order discretization for the second-order spatial derivatives and the Crank–Nicolson difference scheme to ...
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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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On a difference scheme of the second order of accuracy for elliptic-parabolic equations
... for the approximate solution of boundary value problem () under assumption (). The well-posedness of difference scheme () in Hölder spaces is established. In appli- cations, the stability, almost coercivity ...
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A New Conservative Difference Scheme for the General Rosenau-RLW Equation
... conservative scheme is better than the nonconservative ...nonconservative scheme may easily show nonlinear blow ...difference scheme for the general Rosenau-RLW equation, which simulates conservative ...
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