Articles with "ode systems" as a keyword



Spatial mechanistic modeling for prediction of the growth of asymptomatic meningiomas

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Published in 2021 at "Computer methods and programs in biomedicine"

DOI: 10.1016/j.cmpb.2020.105829

Abstract: BACKGROUND AND OBJECTIVE Mathematical modeling of tumor growth draws interest from the medical community as they have the potential to improve patients' care and the use of public health resources. The main objectives of this… read more here.

Keywords: growth; asymptomatic meningiomas; prediction; tumor ... See more keywords

Fuzzy Intermittent Control for Nonlinear Coupled Delayed PDE-ODE Systems

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Published in 2025 at "IEEE Transactions on Cybernetics"

DOI: 10.1109/tcyb.2025.3597770

Abstract: In this work, we introduce a fuzzy intermittent control method for nonlinear coupled delayed partial differential equation-ordinary differential equation (PDE-ODE) systems based on spatially averaged measurements (SAMs). First, the nonlinear coupled delayed PDE-ODE systems are… read more here.

Keywords: ode systems; fuzzy intermittent; nonlinear coupled; coupled delayed ... See more keywords

3D quadratic ODE systems with hidden oscillations

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Published in 2025 at "Georgian Mathematical Journal"

DOI: 10.1515/gmj-2025-2008

Abstract: Abstract An autonomous three-dimensional quadratic system of ordinary differential equations with two parameters is considered. This system exhibits hidden oscillations at certain parameter values (it has a limit cycle, but does not have equilibrium points).… read more here.

Keywords: ode systems; system; systems hidden; hidden oscillations ... See more keywords
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Shadow limit for parabolic-ODE systems through a cut-off argument

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Published in 2017 at "Mathematika"

DOI: 10.21857/ydkx2c3rp9

Abstract: We study a shadow limit (the infinite diffusion coefficientlimit) of a system of ODEs coupled with a diagonal system of semilinear heat equations in a bounded domain with homogeneous Neumann boundary conditions. The recent convergence… read more here.

Keywords: parabolic ode; system; limit; limit parabolic ... See more keywords

High-accuracy Runge–Kutta methods for stiff ODE systems

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Published in 2025 at "Journal of Interdisciplinary Mathematics"

DOI: 10.47974/jim-2363

Abstract: Ordinary differential equations (ODEs) that are stiff come up a lot in science and engineering. They need numerical methods that balance stability, speed, and accuracy. In strict regimes, explicit Runge–Kutta schemes don’t always work, and… read more here.

Keywords: ode systems; runge kutta; stiff ode; kutta methods ... See more keywords