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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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
doaj +4 more sources
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.
N H Sweilam, Seham M Al-Mekhlafi
exaly +3 more sources
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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Variance-Guided Regression for Heteroscedastic Data With a Grouping-Based Extension for Nonlinear Prediction. [PDF]
Stat MedABSTRACT Although homoscedasticity is often assumed in linear regression, real data may show variance patterns or residual structures that violate this assumption. We propose VarGuid, a variance‐guided framework for two related settings: Covariate‐dependent conditional variance under a global linear mean model, and residual nonlinear mean structure ...
Liu S, Lu M.
europepmc +2 more sources
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
doaj +3 more sources
Input Layer Regularization and Automated Regularization Hyperparameter Tuning for Myelin Water Estimation Using Deep Learning. [PDF]
NMR BiomedWe propose a novel deep learning algorithm for predicting the myelin water fraction from multiple gradient‐echo or spin‐echo pulse sequences arising in magnetic resonance relaxometry (MRR) measurements of the human brain. Our method incorporates both regularized nonlinear least squares and pure deep learning through a concatenation paradigm known as ...
Modi M +7 more
europepmc +2 more sources
Bifurcation Analysis of Nonstandard Finite Difference Method for Physiological Control System
Asia Pacific Journal of Mathematics, 2022 Jieyi Yao, Qi Wang
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