نتایج جستجو برای: finite difference numerical method

تعداد نتایج: 2343489  

2008
P. Maragatha Meenakshi Maragatha Meenakshi

A system of singularly perturbed ordinary differential equations of first order with given initial conditions is considered. The leading term of each equation is multiplied by a small positive parameter. These parameters are not necessarily equal. The components of the solution exhibit overlapping layers. A Shishkin piecewise– uniform mesh is constructed, which is used, in conjunction with a cl...

2005
Mariusz Ciesielski Jacek Leszczynski

In this paper we present in one-dimensional space a numerical solution of a partial differential equation of fractional order. This equation describes a process of anomalous diffusion. The process arises from the interactions within the complex and non-homogeneous background. We presented a numerical method which bases on the finite differences method. We considered pure initial and boundaryini...

Journal: :Int. J. Comput. Math. 2002
S. Valarmathi N. Ramanujam

A class of singularly perturbed two point boundary value problems (BVPs) for third order ordinary differential equations is considered. The BVP is reduced to a weakly coupled system of one first order Ordinary Differential Equation (ODE) with a suitable initial condition and one second order singularly perturbed ODE subject to boundary conditions. In order to solve this system, a computational ...

Journal: :J. Computational Applied Mathematics 2016
F. Solano-Feo J. M. Guevara-Jordan Otilio Rojas Beatriz Otero Robert Rodriguez

A new mimetic finite difference scheme for solving the acoustic wave equation is presented. It combines a novel second order tensor mimetic discretizations in space and a leapfrog approximation in time to produce an explicit multidimensional scheme. Convergence analysis of the new scheme on a staggered grid shows that it can take larger time steps than standard finite difference schemes based o...

2011
Pascal Azerad Afaf Bouharguane Andrew C. Fowler

A class of finite difference schemes for solving a fractional anti-diffusive equation, recently proposed by Andrew C. Fowler to describe the dynamics of dunes, is considered. Their linear stability is analyzed using the standard Von Neumann analysis: stability criteria are found and checked numerically. Moreover, we investigate the consistency and convergence of these schemes.

2012

Several numerical schemes utilizing central difference approximations have been developed to solve the Goursat problem. However, in a recent years compact discretization methods which leads to high-order finite difference schemes have been used since it is capable of achieving better accuracy as well as preserving certain features of the equation e.g. linearity. The basic idea of the new scheme...

Journal: :J. Nonlinear Science 2011
Martin Hairer Jochen Voss

This article is devoted to the numerical study of various finite difference approximations to the stochastic Burgers equation. Of particular interest in the one-dimensional case is the situation where the driving noise is white both in space and in time. We demonstrate that in this case, different finite difference schemes converge to different limiting processes as the mesh size tends to zero....

2012
M. Rousseau O. Cerdan O. Delestre F. Dupros F. James S. Cordier

In the last decades, more or less complex physically-based hydrological models, have been developed that solve the shallow water equations or their approximations using various numerical methods. Model users may not necessarily know the different hypothesis lying behind these development and simplifications, and it might therefore be difficult to judge if a code is well adapted to their objecti...

Journal: :Kybernetika 2007
Tomás Oberhuber

In this article we discuss numerical scheme for the approximation of the Willmore flow of graphs. The scheme is based on the finite difference method. We improve the scheme we presented in [8, 7] which is based on combination of the forward and the backward finite differences. The new scheme approximates the Willmore flow by the central differences and as a result it better preserves symmetry o...

Journal: :J. Computational Applied Mathematics 2011
Jing Gong Jan Nordström

We investigate several existing interface procedures for finite difference methods applied to advection-diffusion problems. The accuracy, stiffness and reflecting properties of the various interface procedures are investigated. The analysis and numerical experiments show that there are only minor differences between the various methods once a proper parameter choice has been made.

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