A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations [PDF]
International Journal of Antennas and Propagation, 2013 Higher order unconditionally stable methods are effective ways for simulating field behaviors of electromagnetic problems since they are free of Courant-Friedrich-Levy conditions. The development of accurate schemes with less computational expenditure is
Zhuo Su, Yongqin Yang, Yunliang Long
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An Unconditionally Stable Difference Scheme for the Two-Dimensional Modified Fisher–Kolmogorov–Petrovsky–Piscounov Equation [PDF]
Journal of Mathematics, 2023 In this article, we develop an unconditionally stable numerical scheme for the modified Fisher–Kolmogorov–Petrovsky–Piscounov (Fisher–KPP) equation modeling population dynamics in two-dimensional space.
Soobin Kwak +5 more
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Second-Order Unconditionally Stable Direct Methods for Allen–Cahn and Conservative Allen–Cahn Equations on Surfaces [PDF]
Mathematics, 2020 This paper describes temporally second-order unconditionally stable direct methods for Allen–Cahn and conservative Allen–Cahn equations on surfaces. The discretization is performed via a surface mesh consisting of piecewise triangles and its dual-surface
Binhu Xia, Yibao Li, Zhong Li
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Optimal accuracy of unconditionally stable explicit numerical methods for nonlinear evolution PDE's [PDF]
Applied Mathematics Letters, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rosinger, E.E.
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Journal of Inequalities and Applications, 2022 This paper uses a novel numerical approach to approximate the coupled Cahn–Hilliard equations, which are a highly nonlinear system depicting the phase separation of the homopolymer and copolymer mixtures.
Lingfei Li +3 more
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An unconditionally stable hybrid numerical method for solving the Allen–Cahn equation
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yibao Li +3 more
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Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method [PDF]
IEEE Transactions on Microwave Theory and Techniques, 2001 This paper presents a comprehensive analysis of numerical dispersion of the recently developed unconditionally stable three-dimensional finite-difference time-domain (FDTD) method where the alternating-direction-implicit technique is applied. The dispersion relation is derived analytically and the effects of spatial and temporal steps on the numerical ...
F. Zheng, Z. Chen
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Efficient unconditionally stable one‐step leapfrog ADI‐FDTD method with low numerical dispersion
IET Microwaves, Antennas & Propagation, 2014 An efficient unconditionally stable one‐step leapfrog alternating‐direction‐implicit finite‐difference time‐domain (ADI‐FDTD) method based on the controlling parameters is presented. First, three controlling parameters are introduced to the matrices of the Maxwell's equations to decrease the numerical dispersion error, and then the formulation of an ...
Yong‐Dan Kong +2 more
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Analyzing the dynamic patterns of COVID-19 through nonstandard finite difference scheme [PDF]
Scientific ReportsThis paper presents a novel approach to analyzing the dynamics of COVID-19 using nonstandard finite difference (NSFD) schemes. Our model incorporates both asymptomatic and symptomatic infected individuals, allowing for a more comprehensive understanding ...
Abeer Aljohani +2 more
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Buildings, 2022 Calculating heat transfer in building components is an important and nontrivial task. Thus, in this work, we extensively examined 13 numerical methods to solve the linear heat conduction equation in building walls.
Humam Kareem Jalghaf +2 more
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