Complexity, 2022 In this paper, we present an intensive investigation of the finite volume method (FVM) compared to the finite difference methods (FDMs). In order to show the main difference in the way of approaching the solution, we take the Burgers equation and the ...
Ali Hasan Ali +5 more
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Finite difference and finite element methods for partial differential equations on fractals
Revista Integración, 2022 In this paper, we present numerical procedures to compute solutions of partial differential equations posed on fractals. In particular, we consider the strong form of the equation using standard graph Laplacian matrices and also weak forms of the ...
Luis F. Contreras H., Juan Galvis
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Weighted Average Finite Difference Methods for Fractional Reaction-Subdiffusion Equation
Walailak Journal of Science and Technology, 2013 In this article, a numerical study for fractional reaction-subdiffusion equations is introduced using a class of finite difference methods. These methods are extensions of the weighted average methods for ordinary (non-fractional) reaction-subdiffusion ...
Nasser Hassen SWEILAM +2 more
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A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods [PDF]
, 2008 We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids.
Eymard R. +4 more
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Numerical Treatment of Allen’s Equation Using Semi Implicit Finite Difference Methods
Eurasian Journal of Science and Engineering, 2022 This paper aims to propose the semi implicit finite difference method for discretizing Cahn-Allen equation. The stability and convergence analysis are proved.
Younis A. Sabawi +2 more
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Stabilized finite difference methods for the fully dynamic biot's problem
Mathematical Modelling and Analysis, 2013 This paper deals with the stabilization of the poroelasticity system, in the incompressible fully dynamic case. The stabilization term is a perturbation of the equilibrium equation that allows us to use central difference schemes to approximate the first
Natalia Boal +3 more
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Finite-Difference Lattice Boltzmann Methods for binary fluids
, 2005 We investigate two-fluid BGK kinetic methods for binary fluids. The developed theory works for asymmetric as well as symmetric systems. For symmetric systems it recovers Sirovich's theory and is summarized in models A and B.
Aiguo Xu +8 more
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Heat capacity estimators for random series path-integral methods by finite-difference schemes [PDF]
, 2003 Previous heat capacity estimators used in path integral simulations either have large variances that grow to infinity with the number of path variables or require the evaluation of first and second order derivatives of the potential. In the present paper,
Doll, J. D. +3 more
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Application of finite-difference methods to parameter identification of agroecological models
Lietuvos Matematikos Rinkinys, 2001 A typical parameter identification problem arisen in agroecological modeling is described and a finite difference method to solve an appropriate inverse problem is proposed.
Natalija Juščenko, Vitalijus Denisov
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Frequency‐dependent finite‐difference time‐domain method based on iterated Crank–Nicolson scheme
Electronics Letters, 2023 The finite‐difference time‐domain (FDTD) method based on the iterated Crank–Nicolson (ICN) scheme is extended to a frequency‐dependent version. The Drude model is used to express a metal dispersion, which is incorporated into the iterated Crank–Nicolson ...
Jun Shibayama +3 more
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