Results 231 to 240 of about 327,371 (280)

Compact finite difference method for integro-differential equations

Applied Mathematics and Computation, 2006
The paper is concerned with developing a method for the approximate solution of (Fredholm) integro-differential equations. The authors remark that the method proposed can also be applied to Volterra equations. The starting point is a compact finite difference scheme for the second order derivatives.
Zhao, Jichao, Corless, Robert M.
openaire   +3 more sources

An efficient time-splitting compact finite difference method for Gross–Pitaevskii equation

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Hanquan, Ma, Xiu, Lu, Junliang, Gao, Wen   +3 more
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Wavelet-optimized compact finite difference method for convection–diffusion equations

International Journal of Nonlinear Sciences and Numerical Simulation, 2020
Abstract In this article, compact finite difference approximations for first and second derivatives on the non-uniform grid are discussed. The construction of diffusion wavelets using compact finite difference approximation is presented.
Mani Mehra, Kuldip Singh Patel, Ankita Shukla   +2 more
openaire   +2 more sources

Two‐dimensional compact finite difference immersed boundary method

International Journal for Numerical Methods in Fluids, 2011
AbstractWe present a compact finite differences method for the calculation of two‐dimensional viscous flows in biological fluid dynamics applications. This is achieved by using body‐forces that allow for the imposition of boundary conditions in an immersed moving boundary that does not coincide with the computational grid.
Ferreira de Sousa, Paulo J. S. A., Pereira, José C. F., Allen, James J.   +2 more
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Compact Schemes for Multiscale Flows with Cell-Centered Finite Difference Method

Journal of Scientific Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao Jin, Fei Liao, Jinsheng Cai
openaire   +1 more source

Compact fourth-order finite difference method for solving differential equations

Physical Review E, 2001
We present a fourth-order finite difference (FD) method for solving two-dimensional partial differential equations. The FD operator uses a compact nine-point stencil on a regular square grid. Despite the regular grid, Dirichlet boundary conditions can be applied on an arbitrarily shaped boundary without resorting to the usual stepped approximation.
P B, Wilkinson, T M, Fromhold, C R, Tench, R P, Taylor, A P, Micolich   +4 more
openaire   +2 more sources

A compact finite difference method for solving Burgers' equation

International Journal for Numerical Methods in Fluids, 2009
AbstractIn this paper, a high‐order accurate compact finite difference method using the Hopf–Cole transformation is introduced for solving one‐dimensional Burgers' equation numerically. The stability and convergence analyses for the proposed method are given, and this method is shown to be unconditionally stable.
Xie, Shusen, Li, Guangxing, Yi, Sucheol, Heo, Sunyeong   +3 more
openaire   +1 more source

Axisymmetric compact finite-difference lattice Boltzmann method for blood flow simulations

Physical Review E, 2019
An axisymmetric compact finite-difference lattice Boltzmann method is proposed to simulate both Newtonian and non-Newtonian flow of blood through a lumen. The curvature of the arteries could be accurately resolved using body-fitted mesh owing to the proposed finite-difference formulation.
M. Sakthivel, Kameswararao Anupindi
openaire   +2 more sources