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Instead of using a fully discrete finite volume scheme and equidistant discretization of internal properties variables, we propose a semidiscrete upwind formulation and a geometric grid discretization of the internal variables.
A fully discrete difference scheme is constructed with space discretization by compact difference method.
Further we develop a fully discrete scheme based on a finite difference discretization of the time-fractional derivatives, and discuss its stability and error estimate.
In the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the Grünwald Letnikov discretization of the Riemann Liouville derivative to obtain a fully discrete implicit scheme.
After approximating the second-order derivative with respect to space by the compact finite difference, we use the Grünwald Letnikov discretization of the Riemann Liouville derivative to obtain a fully discrete implicit scheme.
In Section 3, we construct a fully discrete exponential B-spline approach on uniform meshes to discretize the model and prove that it is stable.
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In this paper we construct a fully-discrete leap-frog type finite element scheme to solve the three-dimensional time-dependent Maxwell's equations when metamaterials are involved.
In this paper, we develop a fully-discrete interior penalty discontinuous Galerkin method for solving the time-dependent Maxwell's equations in dispersive media.
We begin by reviewing the semi-discrete versions of all methods under consideration, followed by a fully-discrete analysis with explicit Runge-Kutta (RK) time integration schemes.
More exactly, the relation between the normal components of electric (E) and magnetic (H) fields obeys the following power law (linearized for small and large values) ν×E="ν×(|H×ν|α−1H×ν) for some α∈ 0,1]. We design a linear fully discrete approximation scheme to solve this nonlinear problem.
A new fully discrete stabilized discontinuous Galerkin method is proposed to solve the incompressible miscible displacement problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com