Results 251 to 260 of about 241,782 (323)

Generalized finite compact difference scheme for schock/complex flowfield interaction.

40th Fluid Dynamics Conference and Exhibit, 2010
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Shen, Yiqing, Zha, Gecheng
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A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation

International journal of nonlinear sciences and numerical simulation, 2021
A predictor–corrector compact finite difference scheme is proposed for a nonlinear partial integro-differential equation. In our method, the time direction is approximated by backward Euler scheme and the Riemann–Liouville (R–L) fractional integral term ...
Shufang Hu, W. Qiu, Hongbin Chen
semanticscholar   +1 more source

Compact Finite Difference Schemes for Approximating Differential Relations

Mathematical Models and Computer Simulations, 2020
Differential relations include both differential operators and solvers for boundary value problems. The formulas of compact finite difference approximations for first- and second-order differential relations of the form $${{P}_{1}}[u] = {{P}_{2}}[f]$$ are obtained. An approximation on three-point stencils is used.
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A predictor–corrector compact finite difference scheme for Burgers’ equation

Applied Mathematics and Computation, 2012
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Zhang, Pei-Guang, Wang, Jian-Ping
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Compact Finite Difference Schemes for Mixed Initial-Boundary Value Problems

SIAM Journal on Numerical Analysis, 1982
This paper discusses a class of compact second order accurate finite difference equations for mixed initial-boundary value problems for hyperbolic and convective-diffusion equations. Convergence is proved by means of energy arguments and both types of equations are solved by similar algorithms.
Philips, Richard B., Rose, Milton E.
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Compact Schemes for Multiscale Flows with Cell-Centered Finite Difference Method

Journal of Scientific Computing, 2020
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Yao Jin, Fei Liao, Jinsheng Cai
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A fast compact finite difference scheme for the fourth-order diffusion-wave equation

International Journal of Computational Mathematics
In this paper, the H $ {}_2 $ 2N $ {}_2 $ 2 method and compact finite difference scheme are proposed for the fourth-order time-fractional diffusion-wave equations.
Wan Wang, Haixiang Zhang, Ziyi Zhou, Xuehua Yang   +3 more
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Upwind compact finite difference schemes

Journal of Computational Physics, 1985
It was shown by \textit{M. Ciment}, \textit{S. H. Leventhal}, and \textit{B. C. Weinberg} [J. Comput. Phys. 28, 135-166 (1978; Zbl 0393.65038)] that the standard compact finite difference scheme may break down in convection dominated problems. An upwinding of the method, which maintains the fourth order accuracy, is suggested and favorable numerical ...
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A New Higher-Order Super Compact Finite Difference Scheme to Study Three-Dimensional Non-Newtonian Flows

The Physics of Fluids
This work introduces a new higher-order accurate super compact (HOSC) finite difference scheme for solving complex unsteady three-dimensional (3D) non-Newtonian fluid flow problems.
Ashwani Punia, R. K. Ray
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Some Stability Inequalities for Compact Finite Difference Schemes

Mathematische Nachrichten, 1988
AbstractFor finite difference schemes of compact form on nonuniform grids approximating m‐th order two‐point boundary value problems stability inequalities are proved which use a norm analogous to the Spijker‐norm in the case of multistep methods. The results are applied to a number of finite difference schemes for which they establish a higher order ...
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