Results 1 to 10 of about 928 (167)
Nonstandard Finite Difference Method Applied to a Linear Pharmacokinetics Model [PDF]
Bioengineering, 2017 We extend the nonstandard finite difference method of solution to the study of pharmacokinetic–pharmacodynamic models. Pharmacokinetic (PK) models are commonly used to predict drug concentrations that drive controlled intravenous (I.V.) transfers (or ...
Oluwaseun Egbelowo +2 more
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Nonstandard finite difference method for solving complex-order fractional Burgers’ equations [PDF]
Journal of Advanced Research, 2020 The aim of this work is to present numerical treatments to a complex order fractional nonlinear one-dimensional problem of Burgers’ equations. A new parameter σt is presented in order to be consistent with the physical model problem.
N.H. Sweilam +2 more
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Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations [PDF]
BMC Research Notes, 2021 Objective The main purpose of this paper is to present an accelerated nonstandard finite difference method for solving the singularly perturbed Burger-Huxley equation in order to produce more accurate solutions.
Masho Jima Kabeto, Gemechis File Duressa
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A Nonstandard Finite Difference Method for a Generalized Black–Scholes Equation [PDF]
Symmetry, 2022 An implicit finite difference scheme for the numerical solution of a generalized Black–Scholes equation is presented. The method is based on the nonstandard finite difference technique. The positivity property is discussed and it is shown that the proposed method is consistent, stable and also the order of the scheme respect to the space variable is ...
M Mehdizadeh Khalsaraei +2 more
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Some standard and nonstandard finite difference schemes for a reaction–diffusion–chemotaxis model
Open Physics, 2023 Two standard and two nonstandard finite difference schemes are constructed to solve a basic reaction–diffusion–chemotaxis model, for which no exact solution is known.
de Waal Gysbert Nicolaas +2 more
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Frontiers in Applied Mathematics and Statistics, 2023 In this article, a class of singularly perturbed time-delay two-parameter second-order parabolic problems are considered. The presence of the two small parameters attached to the derivatives causes the solution of the given problem to exhibit boundary ...
Mekashaw Ali Mohye +2 more
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Mathematics, 2022 In this paper, we evaluate and discuss different numerical methods to solve the Black–Scholes equation, including the θ-method, the mixed method, the Richardson method, the Du Fort and Frankel method, and the MADE (modified alternating directional ...
Mohammad Mehdizadeh Khalsaraei +4 more
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Nonstandard Finite Difference Schemes for an SIR Epidemic Model
Mathematics, 2021 This paper aims to present two nonstandard finite difference (NFSD) methods to solve an SIR epidemic model. The proposed methods have important properties such as positivity and boundedness and they also preserve conservation law.
Mohammad Mehdizadeh Khalsaraei +3 more
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Nonstandard finite difference method for solving the multi-strain TB model
Journal of the Egyptian Mathematical Society, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S M Al-Mekhlafi, N H Sweilam
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Optimal Rate of Convergence for a Nonstandard Finite Difference Galerkin Method Applied to Wave Equation Problems [PDF]
Journal of Applied Mathematics, 2013 The optimal rate of convergence of the wave equation in both the energy and the L2-norms using continuous Galerkin method is well known. We exploit this technique and design a fully discrete scheme consisting of coupling the nonstandard finite difference
Pius W. M. Chin
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