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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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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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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Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations [PDF]
, 2013 This paper develops a new framework for designing and analyzing convergent finite difference methods for approximating both classical and viscosity solutions of second order fully nonlinear partial differential equations (PDEs) in 1-D.
Feng, Xiaobing +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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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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Finite-difference methods for simulation models incorporating non-conservative forces
, 1998 We discuss algorithms applicable to the numerical solution of second-order ordinary differential equations by finite-differences. We make particular reference to the solution of the dissipative particle dynamics fluid model, and present extensive results
d’Humières D. +2 more
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Forward Electrocardiogram Modeling by Small Dipoles Based on Whole-Body Electric Field Analysis
IEEE Access, 2019 Mathematical modeling of detailed cardiac function has become possible in recent years. Computer simulations have been conducted to reproduce electrical phenomena of the heart.
Tatsuhito Nakane +4 more
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