Results 241 to 250 of about 326,003 (288)

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

High Order Compact Generalized Finite Difference Methods for Solving Inviscid Compressible Flows

Journal of Scientific Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue-Li Li, Yu-Xin Ren
openaire   +2 more sources

Optimization of compact finite difference method for wave acoustic simulation

The Journal of the Acoustical Society of America, 2008
Recently, the finite difference method, a tool for wave acoustic simulations, can be applied to practical analysis. However, the numerical dispersion which makes propagation speed in simulations change according to the wave length, is a severe problem to maintain high accuracy in the analysis.
Hideo Tsuru, Reima Iwatsu
openaire   +1 more source

High-order compact finite-difference methods on general overset grids

Journal of Computational Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sherer, Scott E., Scott, James N.
openaire   +1 more source

An implicit, compact, finite difference method to solve hyperbolic equations

Mathematics and Computers in Simulation, 1977
Abstract At present most approximate (discrete) solutions of time dependent hyperbolic equations are obtained by explicit finite difference methods, where the maximal allowable time step is given by a condition of numerical stability (i.e., the CFL condition).
Wirz, H. J., de Schutter, F., Turi, A.
openaire   +2 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
openaire   +1 more source

Compact finite difference method for the fractional diffusion equation

Journal of Computational Physics, 2009
The author apply for solving the one-dimensional fractional diffusion equation \[ \frac{\partial u}{\partial t}=_{0}D^{1-\gamma} _{t} [K_{\gamma}\frac{\partial^{2}u}{\partial x^{2}}]+f(x,t),\quad x\in(L_{0},L_{1}), \quad t\in (0,T) \] a special finite difference method using the Grunwald discretization process for the fractional derivative.
openaire   +1 more source

High-order compact exponential finite difference methods for convection–diffusion type problems

Journal of Computational Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian, Z. F., Dai, S. Q.
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A dispersively accurate compact finite difference method for the Degasperis–Procesi equation

Journal of Computational Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, C. H., Sheu, Tony W. H.
openaire   +2 more sources