Adams–bashforth–moulton method

Results 91 to 100 of about 2,408 (168)

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

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

Nonlinear 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
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Guidance, flight mechanics and trajectory optimization. Volume 6 - The N-body problem and special perturbation techniques [PDF]

Analytical formulations and numerical integration methods for many body problem and special perturbative ...
Allione, M. S. +3 more
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Error behavior of multistep methods applied to unstable differential systems [PDF]

The problem of modeling a dynamic system described by a system of ordinary differential equations which has unstable components for limited periods of time is discussed. It is shown that the global error in a multistep numerical method is the solution to
Brown, R. L.
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Solving Macroeconomic Models with "Off-the-Shelf" Software: An Example of Potential Pitfalls [PDF]

When working with large-scale models or numerous small models, there can be a temptation to rely on default settings in proprietary software to derive solutions to the model. In this paper we show that, for the solution of non-linear dynamic models, this
Peter J. Stemp, Ric D. Herbert
core

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

Results 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

Journal 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, Ozlem Ersoy Hepson, İdris Dağ +2 more
doaj +1 more source

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

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

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

Frontiers 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
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A novel fractional model for the projection of households using wealth index quintiles. [PDF]

PLoS One, 2022
Ahmad S, Javeed S, Raza S, Baleanu D.
europepmc +1 more source

fractional calculus
caputo fractional derivative
numerical solution

stability
stability analysis