Results 241 to 250 of about 327,371 (280)

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

Journal of Scientific Computing, 2020
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Xue-Li Li, Yu-Xin Ren
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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
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Sherer, Scott E., Scott, James N.
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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.
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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.
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High-order compact exponential finite difference methods for convection–diffusion type problems

Journal of Computational Physics, 2007
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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
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Yu, C. H., Sheu, Tony W. H.
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Compact Finite Difference Method for Calculating Magnetic Field Components of Cyclotrons

Journal of Computational Physics, 1997
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Evaluation of Acoustic Simulation Using Wave Equation Finite Difference Time Domain Method with Compact Finite Differences

Japanese Journal of Applied Physics, 2012
In this study, we examine the acoustic simulation method combining the wave equation finite difference time domain (WE FD-TD) method and compact FDs (CPFDs) for the second derivative. The wave equation compact finite difference time domain (WE CPFD-TD) method does not require calculation of the particle velocity; therefore, it can reduce the ...
Naoki Kawada, Takeshi Yoda, Norio Tagawa, Takao Tsuchiya, Kan Okubo   +4 more
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High-Order Compact Finite Difference Methods for Solving the High-Dimensional Helmholtz Equations

Computational Methods in Applied Mathematics, 2022
Abstract In this paper, the sixth-order compact finite difference schemes for solving two-dimensional (2D) and three-dimensional (3D) Helmholtz equations are proposed. Firstly, the sixth-order compact difference operators for the second-order derivatives are applied to approximate the Laplace operator.
Wang, Zhi, Ge, Yongbin, Sun, Hai-Wei
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