Finite-difference schemes
Finite difference schemes with monotone operators
... FINITE DIFFERENCE SCHEMES WITH MONOTONE OPERATORS N C APREUTESEI Received 13 October 2003 and in revised form 10 December 2003 To the memory of my mother, Liliana Several existence theorems are given[.] ...
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Comparison of Finite Difference Schemes for the Wave Equation Based on Dispersion
... Finite difference schemes are widely used in solving time dependent partial differential equations numerically, however in approximation of derivatives using Taylor’s series, truncation of terms ...
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High Order Finite Difference Schemes for the First Derivative in Von Mises Coordinates
... backward finite difference schemes of various or- ders of local accuracy continue to be developed to better capture the boundary effects (including better approx- imation to the vorticiy on a solid ...
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Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations
... Classical finite difference schemes may produce numerical drawbacks such as spurious oscillations and negative solutions because of truncation errors and may then become ...
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Numerical solution of the Falkner Skan equation using third order and high order compact finite difference schemes
... high-order-compact finite differences ...with finite difference schemes of higher than second ...high-order finite difference approximations directly into a third- order ...
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"Finite Difference Schemes to Nonlinear Parabolic System of Cancer Invasion and Interaction of Cancer Cell with Surrounding Tissues "
... proposed finite difference schemes, which preserve the non-negativity as well as the conservation properties of the solution to a model of tumor ...
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Numerical Study of Fisher’s Equation by Finite Difference Schemes
... Douglas finite difference schemes to analyse numerical behaviour of simple linear Fisher;s equation, one dimensional linear coupled system and non-linear Fisher’s equation ...by finite ...
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A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger Boussinesq Equations
... numerical schemes respectively. The results show that the two schemes solve this problem exactly and conserve the conserved quantities exactly as ...
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On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes
... difference schemes for hyperbolic partial differential equations, in which stability was established under the assumption that the magnitude of the grid steps τ and h with respect to time and space variables are ...
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High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems
... 1. Introduction. The numerical solution of elliptic boundary value problems is a classical topic arising from a wide range of applications such as elasticity problems and nu- clear and petroleum engineering [44]. In ...
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Nonstandard finite difference schemes for a fractional order Brusselator system
... The paper is organized as follows. In Section , we briefly review the main definitions concerning fractional derivatives and FDEs and we introduce NSFD methods. Section is devoted to discuss the main problems in ...
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Finite difference schemes for incompressible flows in vorticity formulations
... In this paper, we review some recent progress made in 4, 5, 6] on nite dierence schemes for viscous incompressible ows using vorticity formulation. The main purpose of this series of papers 4, 5, 6] is to ...
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Finite difference schemes for linear stochastic integro-differential equations
... the finite difference (see, ...discretization schemes for stochastic evolution equations driven by continuous martingale noise in the variational framework and, as a particular example, show that the ...
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Conservative finite difference schemes for the chiral nonlinear Schrödinger equation
... In this paper, we derive three finite difference schemes for the chiral nonlinear Schrödinger equation (CNLS). The CNLS equation has two kinds of progressive wave solutions: bright and dark soliton. The proposed ...
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Higher Order Numerical Solution of Two Dimensional Coupled Burgers’ Equations
... higher-order finite-difference schemes are easy for implementation and can be used for a numerical solution of two-dimensional coupled Burgers’ equation with higher ...
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Radial basis function based meshless methods for fluid flow problems
... The implementation of the RBF-FD is straightforward when the prescribed boundary con- ditions are Dirichlet in nature. However, when Neumann or mixed boundary conditions are specified, the implementation issues need to ...
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Discussion of Direct Numerical Simulation Method for Supercritical Carbon Dioxide Jet Flow
... accurate finite difference schemes for solving noncon- servative compressible Navier-Stokes equations is per- formed in this paper, in order to avoid the difficulties of splitting the convective ...
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Non-uniform HOC Scheme for the 3D Convection–Diffusion Equation
... (HOC) finite difference (FD) schemes, which are computationally ...(4OC) finite difference schemes for convection diffusion equations on uniform grids for two dimensional space ...
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Water hammer simulation by explicit central finite difference methods in staggered grids
... Godunov-type schemes for water hammer ...explicit finite- difference schemes (MacCormack’s method, Lambda scheme and Gabutti ...second-order schemes required fewer computational nodes ...
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Implementation of boundary conditions for optimized high order compact schemes
... Introduction The seven-point stencil high-order central compact finite difference schemes for e\,?luation of the first derivatives on interior nodes were optimized in the wavenumber doma[r] ...
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