Results 91 to 100 of about 2,380 (167)

A Comparative Analysis of Numerical Methods for Mathematical Modelling of Intravascular Drug Concentrations Using a Two-Compartment Pharmacokinetic Model

open access: yesMathematical and Computational Applications
Pharmacokinetic modelling is extensively used in understanding drug behavior, distribution and optimizing dosing regimens. This study presents a two-compartment pharmacokinetic model developed using three numerical approaches that includes the Euler ...
Kaniz Fatima   +5 more
doaj   +1 more source

A New Fractional Modelling on Susceptible-Infected-Recovered Equations with Constant Vaccination Rate

open access: yesNonlinear Engineering, 2014
In this article, the authors introduce a fractional order SIR model with constant vaccination rate. The SIR model has been used in the modeling of several epidemiological diseases, biology and medical sciences. Qualitative results show that the model has
Kumar Rajnesh, Kumar Sunil
doaj   +1 more source

Non-constructive interval simulation of dynamic systems [PDF]

open access: yes, 2012
Publisher ...
Bruce, Allan M.   +2 more
core  

Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs)

open access: yesResults in Control and Optimization
The model for the speed control in the Direct Current (DC) motors by developing different simulating models based upon Proportional Integral Derivative (PID) controllers with fractional-ordered Adams–Bashforth–Moulton (ABM) method has been developed ...
Aashima Bangia, Rashmi Bhardwaj
doaj   +1 more source

Modeling of solitary waves via higher-order predictor-corrector scheme

open access: yesJournal of Taibah University for Science
The combination of the sextic b-spline collocation method and the predictor-corrector method is employed to discretize the Regularized Long Wave Equation (RLWE) fully into two systems of linear algebraic equations.
Bülent Saka   +2 more
doaj   +1 more source

Understanding COVID-19 propagation: a comprehensive mathematical model with Caputo fractional derivatives for Thailand

open access: yesFrontiers in Applied Mathematics and Statistics
This research introduces a sophisticated mathematical model for understanding the transmission dynamics of COVID-19, incorporating both integer and fractional derivatives.
Shamil E   +6 more
doaj   +1 more source

Solution of Ordinary Differential Equations in Gradient-Based Multidisciplinary Design Optimization [PDF]

open access: yes
A gradient-based approach to multidisciplinary design optimization enables efficient scalability to large numbers of design variables. However, the need for derivatives causes difficulties when integrating ordinary differential equations (ODEs) in models.
Hwang, John T., Munster, Drayton W.
core   +1 more source

On the stability of nonlinear differential sequences generated numerically [PDF]

open access: yes
A study was conducted to determine how errors are propagated when numerical methods are applied to a differential function f(y,t) which is nonlinear in y, with emphasis on stable propagation of the ...
Brown, R. L.
core   +1 more source

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