Results 81 to 90 of about 14,242,248 (191)
Discover Applied SciencesThis article focuses on the numerical solution of a time-dependent parabolic problem that exhibits singular perturbations and involves two perturbation parameters. To address this problem, a fitted mesh finite difference method is developed. In numerical
Mekashaw Ali Mohye +5 more
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A monotone scheme for Hamilton-Jacobi equations via the nonstandard finite difference method [PDF]
, 2009 A usual way of approximating Hamilton-Jacobi equations is to couple space finite element discretization with time finite difference discretization. This classical approach leads to a severe restriction on the time step size for the scheme to be monotone.
Jean M.-S. Lubuma +5 more
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A New Stochastic Split-Step θ-Nonstandard Finite Difference Method for the Developed SVIR Epidemic Model with Temporary Immunities and General Incidence Rates. [PDF]
Vaccines (Basel), 2022 Alkhazzan A, Wang J, Nie Y, Hattaf K.
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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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Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations [PDF]
, 2014 We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Xiaohua Ding, Lisha Wang, Lei Zhang
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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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