Results 191 to 200 of about 252,020 (241)
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AN INTRODUCTION TO NONSTANDARD FINITE DIFFERENCE SCHEMES
Journal of Computational Acoustics, 1999Nonstandard finite difference schemes offer the potential for either constructing exact discrete models of differential equations or obtaining discrete models that do not have the elementary numerical instabilities. While the general laws for constructing such schemes are not precisely known at the present time, a number of important rules have been ...
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A Novel Nonstandard Finite Difference Scheme for the SIS Epidemiological Model
Algorithmic Applications in ManagementTumurkhuyag Badarch, Balt Batgerel
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Afghanistan Journal of Infectious Diseases
Background: Typhoid fever, caused by Salmonella typhi, spreads through food or water contaminated with manure, posing significant individual and public health risks.
Zabihullah Movaheedi, B. Heravi
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Background: Typhoid fever, caused by Salmonella typhi, spreads through food or water contaminated with manure, posing significant individual and public health risks.
Zabihullah Movaheedi, B. Heravi
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arXiv.org
Standard finite difference (SFD) schemes often suffer from limited stability regions, especially when applied in explicit setup to partial differential equations.
S. Kumari, Mani Mehra
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Standard finite difference (SFD) schemes often suffer from limited stability regions, especially when applied in explicit setup to partial differential equations.
S. Kumari, Mani Mehra
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A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model
Journal of difference equations and applications (Print), 2023This work is devoted to the proposal and analysis of a new mathematical study of the transmission dynamics of infectious diseases. First, a generalized SEIR epidemic model is presented that uses general nonlinear incidence rates to describe the ...
M. T. Hoang, Matthias Ehrhardt
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2025 19th Conference on Electrical Machines, Drives and Power Systems (ELMA)
The radar cross section analysis combined with an efficient subgridding technique is formulated and implemented in this paper by means of the nonstandard finite difference time domain (NS-FDTD) method.
Y. Kanai, T. Ohtani, N. Kantartzis
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The radar cross section analysis combined with an efficient subgridding technique is formulated and implemented in this paper by means of the nonstandard finite difference time domain (NS-FDTD) method.
Y. Kanai, T. Ohtani, N. Kantartzis
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Statistics, Optimization & Information Computing
This paper provides non-standard finite difference methods for solving a Caputo-type fractional linear system with two equations with real eigenvalues. The linear system's real eigenvalues are classified into two types: distinct and repeated eigenvalues.
S. Ali, Eihab B. M. Bashier
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This paper provides non-standard finite difference methods for solving a Caputo-type fractional linear system with two equations with real eigenvalues. The linear system's real eigenvalues are classified into two types: distinct and repeated eigenvalues.
S. Ali, Eihab B. M. Bashier
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Nonstandard finite difference schemes for the HIV infection model of CD4+T-cells
Journal of difference equations and applications (Print)In this paper, qualitative analysis of a human immunodeficiency virus (HIV) infection of $ {\rm CD}4^{+}{\rm T} $ CD4+T-cells including the uniqueness, nonnegativity and boundedness of solutions are studied.
M. Namjoo +3 more
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arXiv.org, 2023
In this work, a class of continuous-time autonomous dynamical systems describing many important phenomena and processes arising in real-world applications is considered. We apply the nonstandard finite difference (NSFD) methodology proposed by Mickens to
M. T. Hoang
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In this work, a class of continuous-time autonomous dynamical systems describing many important phenomena and processes arising in real-world applications is considered. We apply the nonstandard finite difference (NSFD) methodology proposed by Mickens to
M. T. Hoang
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Divergence Properties of the Nonstandard Finite Difference Methods
IEEE Microwave and Wireless Components Letters, 2007Yee's classic algorithm was proved to be divergence-free in source-free regions. However, the divergence properties of the nonstandard finite difference (NSFD) methods have not been addressed. In this letter, we investigate the divergence nature of the NSFD (2,2) and (2,4) algorithms.
Bo Yang, Constantine A. Balanis
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