Results 21 to 30 of about 252,020 (241)
Journal of New Theory, 2023 In this study, a mathematical model describing diabetes mellitus and its complications in a population is considered. Since standard numerical methods can lead to numerical instabilities, it aims to solve the problem using a nonstandard method. Among the
İlkem Turhan Çetinkaya
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A dynamically-consistent nonstandard finite difference scheme for the SICA model [PDF]
Mathematical Biosciences and Engineering, 2021 In this work, we derive a nonstandard finite difference scheme for the SICA (Susceptible-Infected-Chronic-AIDS) model and analyze the dynamical properties of the discretized system. We prove that the discretized model is dynamically consistent with the continuous, maintaining the essential properties of the standard SICA model, namely, the positivity ...
Vaz, Sandra, Torres, Delfim F. M.
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Exact and nonstandard finite difference schemes for the generalized KdV–Burgers equation
Advances in Difference Equations, 2020 We consider the generalized KdV–Burgers KdVB ( p , m , q ) $\operatorname{KdVB}(p,m,q)$ equation. We have designed exact and consistent nonstandard finite difference schemes (NSFD) for the numerical solution of the KdVB ( 2 , 1 , 2 ) $\operatorname{KdVB}(
C. Koroglu
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A nonstandard finite difference scheme for a nonlinear Black–Scholes equation
Mathematical and Computer Modelling, 2013 Abstract In this paper we construct a numerical method based on a nonstandard finite difference scheme to solve numerically a nonlinear Black–Scholes equation modeling illiquid markets. In particular, the proposed method uses an exact difference scheme in the linear convection–reaction term and the spatial derivative is approximated using a ...
Abraham J Arenas +2 more
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Dynamics of a nonstandard finite-difference scheme for Mackey–Glass system
Journal of Mathematical Analysis and Applications, 2008 The authors investigate the dynamic behaviour of a discretised model of the Mackey-Glass system described by the delay differential equation \[ \dot p(t)= -\gamma p(t) +\frac{\beta \theta ^n p(t-\tau)}{\theta ^n+p^n(t-\tau)},\quad t\geq 0. \] Here, \(p(t)\) denotes the density of mature cells in blood circulation, \(\tau\) is the time-delay between the
Su, Huan, Ding, Xiaohua
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A Second-Order Nonstandard Finite Difference Method for a Malaria Propagation Model with Control
AppliedMathStandard numerical methods such as Runge–Kutta and Euler methods have been widely used to approximate solutions to nonlinear systems. These methods converge to the solution only for small step sizes; for larger time steps, they generally generate ...
Calisto B. Marime, Justin B. Munyakazi
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Open Mathematics, 2019 In this work, we will introduce two novel positivity preserving operator splitting nonstandard finite difference (NSFD) schemes for the numerical solution of SEIR reaction diffusion epidemic model.
Ahmed Nauman +5 more
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An improvement of two nonstandard finite difference schemes for two population mathematical models [PDF]
, 2021 The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations.
Calatayud, Julia, Jornet, Marc
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Dynamical and nonstandard computational analysis of heroin epidemic model
Results in Physics, 2022 Numerical modelling of real-world problems has a significant role in different disciplines like biology, physics, chemistry, economics, and many more. The numerical results are the authentication of the results of the dynamical analysis.
Ali Raza +6 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.
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