Variable-density Conservative Finite Difference Scheme
On the Conservative Finite Difference Scheme for the Generalized Novikov Equation
... a conservative finite difference scheme and use Brouw- er fixed point theorem to obtain the existence of the solution of the corres- ponding difference ...the difference ...
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Finite difference scheme for multi term variable order fractional diffusion equation
... multi-term variable-order fractional diffusion equation on a finite domain, which involves the Caputo variable-order time fractional derivative of order α (x, t) ∈ (0, 1) and the Riesz variable-order ...
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Comparative Analysis of the Modified SOR and BGC Methods Applied to the Poleness Conservative Finite Difference Scheme
... poleness conservative finite difference scheme based on the weak solution of Poisson equation in polar coordinates is ...the finite difference scheme in the neighbourhood ...
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Comparative Analysis of the Modified SOR and BGC Methods Applied to the Poleness Conservative Finite Difference Scheme
... poleness conservative finite difference scheme based on the weak solution of Poisson equation in polar coordinates is ...the finite difference scheme in the neighbourhood ...
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A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation
... new conservative high-order compact finite difference scheme is studied for the initial-boundary value problem of the generalized Rosenau-regularized long wave ...new conservative nonlinear ...
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Conservative finite difference schemes for the chiral nonlinear Schrödinger equation
... 4 Accuracy of Scheme 2 To study the accuracy of the proposed schemes, we study the accuracy of Scheme . The same procedure can be adopted for the other schemes. We start by replacing the numerical solution ...
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A New Conservative Difference Scheme for the General Rosenau-RLW Equation
... new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW ...the scheme is uniquely solvable, unconditionally stable, and ...
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A conservative finite difference scheme for Poisson–Nernst–Planck equations
... a finite- difference method for solving PNP equations, second-order accurate in both space and ...iterative scheme to solve the sys- tem of nonlinear equations resulting from discretizing the ...
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A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations
... a finite-difference method for solving PNP equations, second-order accurate in both space and ...iterative scheme to solve the system of nonlinear equations resulting from discretizing the equations ...
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A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations
... relative difference of only 10 −4 , but this property does not generalized to larger ...non-conservative scheme, is significantly affected by the value of ...non-conservative scheme is ...
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A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... a finite difference scheme for a class of time fractional diffusion equation with variable coefficient, where the fractional derivative is defined by the Caputo ...this finite ...
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A HODIE finite difference scheme for pricing American options
... difference scheme, we discretize the spatial variable on a piecewise uniform mesh, and meanwhile, use the implicit Euler method to discretize the time ...current scheme in the maximum-norm ...current ...
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Finite difference scheme with spatial fourth order accuracy for a class of time fractional parabolic equations with variable coefficient
... difference scheme for a class of time fractional parabolic equations with variable coefficient, where the time fractional derivative is defined in the sense of the Caputo ...present scheme are discussed ...
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A New Cell-Centred Finite Difference Scheme for CFD Simulations
... 6.3 Future Work This new method is applied in boundary cells in exactly the same manner as in interior cells and therefore there are no difficulties with the differencing formulas close to the boundaries. To extend this ...
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A finite difference scheme for multidimensional convection-diffusion-reaction equations
... for variable case on non-uniform meshes, we give finite difference approximation of convection–diffusion–reaction equation (8) without source function as follows: − ϵ u i +1 , ...
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Multisymplectic Structure of a Finite Difference Scheme for a Complex Nonlinear System
... of finite difference scheme for some conservative PDEs ...of finite difference scheme ...in difference equations ...with finite difference schemes to ...
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A fourth order accurate quasi variable mesh compact finite difference scheme for two space dimensional convection diffusion problems
... ]. Finite-difference methods for convection-diffusion problems showing exponential or parabolic boundary layer behavior were described in detail by Roos et ...compact scheme of fourth-order accuracy using ...
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Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients
... Crank-Nicolson scheme for the nonlinear Schrödinger equations also preserves the conservation law very well []; however, it is not multi-symplectic for the NLSE, which is a multi-symplectic ...
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A Finite-Difference Method for the Variable Coefficient Poisson Equation on Hierarchical Cartesian Meshes
... compact finite-difference scheme on a tree-based adaptive grid that can be efficiently solved using a natively parallel data ...discretization scheme as a function of the local grid config- ...
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A Posteriori Error Estimator for a Front-Fixing Finite Difference Scheme for American Options
... Front-Fixing Finite Difference Scheme for American Options Riccardo Fazio Abstract—In this paper, we present an MATLAB version of a finite difference scheme for the numerical ...
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