Results 231 to 240 of about 51,201 (262)

On a Finite-Difference Scheme for an Hereditary Oscillatory Equation

Journal of Mathematical Sciences, 2021
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A stable finite-difference scheme for the Boussinesq equation

Il Nuovo Cimento D, 1998
An explicit discretization scheme for the Boussinesq equation is developed and its (pseudo-) convergence and stability are investigated. This scheme is used to study the soliton properties in the model described by the Boussinesq equation. The emergence of soliton excitations out of prescribed multisoliton and nonsoliton initial conditions is also ...
SCALERANDI, MARCO, M. GIORDANO, P. P. DELSANTO, C. A. CONDAT   +3 more
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Finite Difference Scheme for Filtration and Consolidation Problems

2003
It's well known that numerical instabilities appear in the approximation of the Biot's consolidation problem, when standard finite elements or difference methods are applied. To stabilizate this problem, we propose the use of staggered grids for the discretization. A monotone and second order finite difference scheme on this kind of grid is given.
Francisco José Gaspar, Francisco Javier Lisbona, Petr N. Vabishchevich   +2 more
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General derivative approximations for finite different schemes

International Journal for Numerical Methods in Engineering, 1983
AbstractA general expression for finite difference approximations for all derivatives up to the (N − 1)th order on a finite difference mesh with N‐nodes is established. The mesh may be non‐uniform and the derivative evaluated at any of the N‐nodes. An estimate for the truncation error is obtained and shown to depend on the nonlinearity of the mesh as ...
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FINITE DIFFERENCE SCHEMES

1988
D. LEE, S.T. McDANIEL
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Finite-Difference Schemes

2008
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Nonstandard Finite Difference Schemes

2020
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On the Resolution Requirements of Finite‐Difference Schemes

Studies in Applied Mathematics, 1971
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A conservative and stable explicit finite difference scheme for the diffusion equation

Journal of Computational Science, 2021
Yongho Choi, Junseok Kim, Chaeyoung Lee   +2 more
exaly  

A new conservative finite difference scheme for the Rosenau equation

Applied Mathematics and Computation, 2008
Khaled Omrani, Talha Achouri
exaly