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Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation
Journal of Scientific Computing, 2023 AbstractApproximating the Hadamard finite-part integral by the quadratic interpolation polynomials, we obtain a scheme for approximating the Riemann-Liouville fractional derivative of order $$\alpha \in (1, 2)$$ α ∈ ( 1 ,
Jinping Yang +3 more
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Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation
AIP Advances, 2022 In this study, we propose an unconditionally stable temporally second-order accurate scheme for a parabolic sine-Gordon equation. The proposed scheme is based on an operator splitting method.
Seokjun Ham +3 more
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Unconditionally Stable Methods for Hamilton–Jacobi Equations [PDF]
Journal of Computational Physics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karlsen, Kenneth Hvistendahl +1 more
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Mathematics, 2022 To solve the L2-gradient flow-based phase-field crystal equation accurately and efficiently, we present a linear, second-order, and unconditionally energy-stable method. We first truncate the quartic function in the Swift–Hohenberg energy functional.
Hyun Geun Lee
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Buildings, 2023 Most thermal researchers have solved thermal conduction problems (inverse or direct) using several different methods. These include the usual discretization methods, conventional and special estimation methods, in addition to simple synchronous gradient ...
Rachid Djeffal +4 more
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Unconditionally stable perfectly matched layer boundary conditions [PDF]
, 2007 A brief review is given of a systematic, product-formula based approach to construct unconditionally stable algorithms for solving the time-dependent Maxwell equations.
Michielsen, K. +3 more
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The optimal explicit unconditionally stable box scheme [PDF]
, 1997 .The finite difference “box” scheme, (see also [1],[2]), is considered on the simplest possible model of single first order linear hyperbolic equation: ut+mux=0 with constant, coefficient m, and one space variable.
Krzysztof Moszyński +1 more
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2D Efficient Unconditionally Stable Meshless FDTD Algorithm
International Journal of Antennas and Propagation, 2016 This paper presents an efficient weighted Laguerre polynomials based meshless finite-difference time domain (WLP-MFDTD). By decomposing the coefficients of the system matrix and adding a perturbation term, a factorization-splitting scheme is introduced ...
Kang Luo +4 more
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Advances in Difference Equations, 2020 The aim of this work is to develop a novel explicit unconditionally positivity preserving finite difference (FD) scheme and an implicit positive FD scheme for the numerical solution of dengue epidemic reaction–diffusion model with incubation period of ...
Nauman Ahmed +4 more
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Unconditionally stable methods for second order differential equations [PDF]
, 1979 We use the concept of order stars (see [1]) to prove and generalize a recent result of Dahlquist [2] on unconditionally stable linear multistep methods for second order differential equations.
Hairer, Ernst
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