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Stability of a discrete HTLV-1/SARS-CoV-2 dual infection model. [PDF]
HeliyonAlshaikh MA, Aljahdali AK.
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Bayesian test of gene flow between sister lineages using genomic data
Yang Z, Jiao X, Cheng S, Zhu T.
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On the use of nonstandard finite difference methods†
Journal of Difference Equations and Applications, 2005Many real life problems are modelled by differential equations, for which analytical solutions are not always easy to find. One of the most difficult problems is how to solve these differential equations efficiently. Several researchers have tried to do this in various different ways (e.g. via Finite Element Methods, Standard Finite Difference Methods,
Kailash C Patidar
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An isotropy-improved nonstandard finite-difference time-domain method
IEEE Transactions on Antennas and Propagation, 2006By introducing extra degree of freedom into the space- domain stencils, an isotropy-improved nonstandard finite-differ- ence (NSFD) (2,2) method is presented in this paper. The technique is also extended to the higher-order (2,4) stencils. Both analytical and numerical results are presented and compared to demonstrate the accuracy and the strengths of ...
Bo Yang, Constantine A. Balanis
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Universal approaches to approximate biological systems with nonstandard finite difference methods
Mathematics and Computers in Simulation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dobromir Dimitrov +2 more
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Exact nonstandard finite-difference methods for a linear system – the case of centers
Journal of Difference Equations and Applications, 2008A system of two linear differential equations with constant coefficients is considered, where and a 2+bc ≠ 0. Let , if a 2+bc>0, and , if ; then the two eigenvalues of A have opposite signs, ± α or ± iβ. When the two eigenvalues are ± iβ, the linear system has a center at (0,0). For this system, there exists a simple exact nonstandard finite-difference
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On the nonstandard finite difference method for reaction–diffusion models
Chaos, Solitons and Fractals, 2023Muhammad Shoaib Arif +2 more
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Nonstandard finite difference method by nonlocal approximation
Mathematics and Computers in Simulation, 2003Two types of monotonic properties of solutions of differential equations are discussed and general finite difference schemes, which are stable with respect to these properties are investigated. Apart from being elementary stable, these schemes are also shown to preserve qualitative properties of nonhyperbolic fixed points of the differential equations.
Roumen Anguelov, Jean M.-S. Lubuma
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A class of nonstandard finite difference methods for the Burgers–Huxley equation
Journal of Difference Equations and Applications, 2021In this work, a class of nonstandard finite difference (NSFD) methods is proposed to approximate the exact solution of a diffusive partial differential equation with Burgers convection effect and H...
W. D. Qin +3 more
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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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