Results 1 to 10 of about 25,326 (156)
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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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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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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Numerical Stability of Brusselator System [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 The numerical stability analysis of Brusselator system has been done in one and two dimensional space. For one dimension we studied the numerical stability for explicit and implicit (Crank- Nicolson) methods and we found that explicit method for solving ...
Saad Manaa, Rostam Saeed, Fadhil Easif
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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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Algorithms, 2022 Based on many previous experiments, the most efficient explicit and stable numerical method to solve heat conduction problems is the leapfrog-hopscotch scheme.
Ali Habeeb Askar +3 more
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Mathematics, 2022 We examine the one-dimensional transient diffusion equation with a space-dependent diffusion coefficient. Such equations can be derived from the Fokker–Planck equation and are essential for understanding the diffusion mechanisms, e.g., in carbon ...
Mahmoud Saleh +3 more
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HIGH-ORDER UNCONDITIONALLY-STABLE FOUR-STEP ADI-FDTD METHODS AND NUMERICAL ANALYSIS [PDF]
Progress In Electromagnetics Research, 2013 High-order unconditionally-stable three-dimensional (3-D) four-step alternating direction implicit flnite-difierence time-domain (ADI-FDTD) methods are presented. Based on the exponential evolution operator (EEO), the Maxwell's equations in a matrix form can be split into four sub-procedures.
Yong-Dan Kong, Qing-Xin Chu, Rong-Lin Li
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Algorithms, 2022 We collected 20 explicit and stable numerical algorithms for the one-dimensional transient diffusion equation and analytically examined their consistency and convergence properties.
Ádám Nagy +2 more
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