Results 91 to 100 of about 1,124 (201)
Nonstandard finite difference schemes for some epidemic optimal control problems [PDF]
We construct and analyse nonstandard finite difference (NSFD) schemes for two epidemic optimal control problems. Firstly, we consider the well-known MSEIR system that can be used to model childhood diseases such as the measles, with the vaccination as a ...
Tsanou, Berge +3 more
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A Parameter Robust Method for Singularly Perturbed Delay Differential Equations
Journal of Inequalities and Applications, 2010 Uniform finite difference methods are constructed via nonstandard finite difference methods for the numerical solution of singularly perturbed quasilinear initial value problem for delay differential equations. A numerical method is constructed for this
Erdogan Fevzi
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Stability and computational analysis of Influenza-A epidemic model through double time delay
Alexandria Engineering JournalDelay factors demonstration has a significant role in controlling a strain of infectious disease instead of a pharmaceutical strategy. According to the World Health Organization (WHO), 3–5 million cases are reported annually and approximately 290,000 to ...
Ateq Alsaadi +3 more
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, 2019 In this paper, a modified nonstandard finite difference method for the two-dimensional Riesz space fractional reaction-diffusion equations is developed.
Gao, Hao +5 more
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A Nonstandard Finite Difference Scheme for Water-Related Disease Mathematical Model
, 2019 In this paper, a Nonstandard Finite Difference Scheme (NSFDS) is constructed for a water-related disease mathematical model. The properties of the resulting discrete models are analysed and compared with its corresponding deterministic model. Furthermore,
Z. Ndii, Meksianis +2 more
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Advancements And Applications Of Nonstandard Finite Difference Methods
, 2015 A class of dynamically consistent numerical methods are analyzed for general n-dimensional productive-destructive systems (PDS). Using this analysis, a methodology for constructing positive and elementary stable nonstandard numerical methods is ...
Wood, Daniel
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, 2020 Part of this work was presented at the International Conference BIOMATH19 (16-22 June 2019, Bedlewo, Poland).We provide effective and practical guidelines on the choice of the complex denominator function of the discrete derivative as well as on the ...
Anguelov, Roumen +6 more
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Characteristics of Evanescent Waves in the Nonstandard FDTD Method [PDF]
, 2007 This paper investigates the characteristics of evanescent waves in the generalized nonstandard finite difference time domain (NS-FDTD) method and derives the dispersion equation and stability condition for two-dimensional space.
Taguchi, Kenji +3 more
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An Analysis of the Nonstandard Finite Difference and Galerkin Methods Applied to the Huxley Equation
MathematicsThe Huxley equation, which is a nonlinear partial differential equation, is used to describe the ionic mechanisms underlying the initiation and propagation of action potentials in the squid giant axon. This equation, just like many other nonlinear equations, is often very difficult to analyze because of the presence of the nonlinearity term, which is ...
Pius W. M. Chin +2 more
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International Journal of Applied Mathematics and Computer Science, 2014 In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination.
Ding Deqiong, Ma Qiang, Ding Xiaohua
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