Results 11 to 20 of about 396,684 (278)

Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations [PDF]

open access: yesJournal of Scientific Computing, 2012
The authors develop a theory of quasi-compact finite difference schemes for the numerical solution of one- and two-space fractional diffusion problems. A finite difference operator for Riemann-Liouville fractional derivatives is proposed. This approach is used for constructing compact weighted and shifted Grünwald difference schemes on uniform meshes ...
Zhou, Han, Tian, WenYi, Deng, Weihua
exaly   +6 more sources

Compact finite difference schemes of sixth order for the Helmholtz equation

open access: yesJournal of Computational and Applied Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Godehard Sutmann
openaire   +4 more sources

On the multi-domain compact finite difference relaxation method for high dimensional chaos: The nine-dimensional Lorenz system

open access: yesAlexandria Engineering Journal, 2020
In this paper, we implement the multidomain compact finite difference method to numerically study high dimensional chaos by considering the nine-dimensional Lorenz system.
J.N. Kouagou   +2 more
doaj   +1 more source

Direct Numerical Simulation of 2D Incompressible Boundary Layer Using Compact Finite Difference [PDF]

open access: yesFanāvarī-i āmūzish, 2008
The non-dimensional Navier stokes equations in rotational form for the boundary layer flow are solved using direct numerical simulation. The length scale and velocity scale of the base flow the boundary layer thickness and the inviscid velocity outside ...
M.J. Maghrebi   +2 more
doaj   +1 more source

Construction of Compact Finite Difference Schemes by Classic Differential Quadrature

open access: yesApplied Sciences, 2017
Using classic differential quadrature formulae and uniform grids, this paper systematically constructs a variety of high-order finite difference schemes, and some of these schemes are consistent with the so-called boundary value methods.
Fangzong Wang, Mingshuai Pan, Yong Wang
doaj   +1 more source

Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions

open access: yesResults in Applied Mathematics, 2021
Compact finite difference methods are very popular for solving differential equations that arise in a wide variety of real-world applications. Despite their popularity, the efficiency of these methods is limited by the need for matrix inversion which is ...
Amanuel Hossiso Gatiso   +2 more
doaj   +1 more source

On solving fractional mobile/immobile equation

open access: yesAdvances in Mechanical Engineering, 2017
In this article, a numerical efficient method for fractional mobile/immobile equation is developed. The presented numerical technique is based on the compact finite difference method.
Hossein Pourbashash   +2 more
doaj   +1 more source

Fourth-order compact finite difference method for solving two-dimensional convection–diffusion equation

open access: yesAdvances in Difference Equations, 2018
A fourth-order compact finite difference scheme of the two-dimensional convection–diffusion equation is proposed to solve groundwater pollution problems.
Lingyu Li, Ziwen Jiang, Zhe Yin
doaj   +1 more source

A new compact finite difference quasilinearization method for nonlinear evolution partial differential equations

open access: yesOpen Mathematics, 2017
This article presents a new method of solving partial differential equations. The method is an improvement of the previously reported compact finite difference quasilinearization method (CFDQLM) which is a combination of compact finite difference schemes
Dlamini P.G., Khumalo M.
doaj   +1 more source

Effective Mass and Energy Recovery by Conserved Compact Finite Difference Schemes

open access: yesIEEE Access, 2018
This paper is concerned with mass and energy recovery by some conserved compact finite difference schemes for the nonlinear Schrödinger-Poisson equations.
Xiujun Cheng, Xiaoli Chen, Dongfang Li
doaj   +1 more source

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