Results 1 to 10 of about 2,233 (119)
Longtime behavior of a semi-implicit scheme for Caginalp phase-field model
Results in Applied Mathematics, 2021 We present a semi-implicit scheme for the Caginalp phase-field model. The scheme is a combination of implicit Euler scheme together with Eyre’s decomposition.
Mouhamadou Samsidy Goudiaby +1 more
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Mittag-Leffler Euler ∇-differences for Caputo fractional-order systems
Results in Physics, 2022 Exponential Euler differences have got rapid development recently for integer-order differential equations. But there are few papers focusing on this difference to fractional differential equations.
Tianwei Zhang, Yongkun Li, Jianwen Zhou
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Geosciences, 2021 This study compares the efficiency of 3-D transient electromagnetic forward modeling schemes on the multi-resolution grid for various modeling scenarios. We developed time-domain finite-difference modeling based on the explicit scheme earlier.
Jingyu Gao +3 more
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Partial Differential Equations in Applied Mathematics, 2023 This paper presents a uniformly convergent numerical scheme for singularly perturbed fractional order convection–diffusion equations with variable coefficients. First, the time-fractional derivative is considered in the Caputo sense and treated using the
Worku Tilahun Aniley +1 more
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Composite Backward Differentiation Formula for the Bidomain Equations
Frontiers in Physiology, 2020 The bidomain equations have been widely used to model the electrical activity of cardiac tissue. While it is well-known that implicit methods have much better stability than explicit methods, implicit methods usually require the solution of a very large ...
Xindan Gao +2 more
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Mathematics, 2023 Discontinuous deformation analysis (DDA) is a discontinuum-based and implicit method for investigating the deformational behavior of block systems. The constant acceleration integration (CAI) scheme characterized by unconditional stability is employed in
Guoyang Liu +5 more
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Numerical schemes for 3D parabolic problem with non-local boundwy condition
Lietuvos Matematikos Rinkinys, 2004 Two finite difference schemes are used to solve the 3D parabolic problem with a non-local boundary condition. A new approximation of the initial condition is proposed for the explicit Euler scheme.
Raimondas Čiegis +2 more
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A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 A singularly perturbed time delay parabolic problem with two small pa-rameters is considered. The paper develops a finite difference scheme that is exponentially fitted on a uniform mesh in the spatial direction and uses the implicit-Euler method to ...
N.T. Negero
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Numerical solution of hyperbolic heat conduction equation
Mathematical Modelling and Analysis, 2009 Hyperbolic heat conduction problem is solved numerically. The explicit and implicit Euler schemes are constructed and investigated. It is shown that the implicit Euler scheme can be used to solve efficiently parabolic and hyperbolic heat conduction ...
Raimondas Čiegis
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The spectral discretization of the second-order wave equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed.
Abdelwahed Mohamed, Chorfi Nejmeddine
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