Results 71 to 80 of about 928 (167)
Efficient Positivity-Preserving NSFD Scheme: Application to Advection-Diffusion-Reaction Equation [PDF]
Journal of Applied and Computational MechanicsSolving problems across a wide range of scientific and engineering domains, encompassing physical, mechanical and biological systems as well as financial markets, necessitates addressing parabolic equations of the advection-diffusion-reaction (ADR ...
Reza Shokri Jahandizi +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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Nonstandard finite difference method for ODEs for initial-value problems
New Trends in Mathematical Science, 2016 In this paper, a powerful recent non-standard finite different method by nonlocal approximation is improved. Also, compared standard finite difference method to this non-standard finite different method in terms of stability and accuracy. As a numerical example, Hybrid Selection & Genetics equation is considered as the candidate from class of first
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Mathematical and Computational Applications, 2018 The motivation for this study is to introduce and motivate the use of nonstandard finite difference (NSFD) schemes, capable of solving one-compartment pharmacokinetic models.
Oluwaseun Egbelowo
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Applications of Nonstandard Finite Difference Methods to Nonlinear Heat Transfer Problems [PDF]
, 2011 This chapter presents some applications of nonstandard finite difference methods to general nonlinear heat transfer problems. Nonlinearity in heat transfer problems arises when i. Some properties in the problem are temperature dependent ii. Boundary conditions are described by nonlinear functions iii.
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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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A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model
Biomath, 2014 We propose and study a model for tree-grass interactions in the context of savannas which are subjected to fire pressure. Several theoretical models in the literature which have highlighted the impact of fire on tree-grass interactions did not explicitly
Alexis Tamen Tchuinte +4 more
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Ain Shams Engineering JournalIn this paper, we analyze the fractional compartmental model in the sense of Caputo derivative for the dynamics of the novel human papillomavirus, which causes cervical cancer.
Asma Rashid Butt +4 more
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