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Mathematical analysis of nonlinear models and their role in dynamics

Modern physics letters B, 2023
Micropolar fluids provide a more accurate description of fluid behavior at small scales, where classical continuum models may fail to capture complicated microscale interactions. These interactions become significant in situations involving non-Newtonian
Shahida Rehman, Noor Muhammad
semanticscholar   +1 more source

Nonlinear approximation for buoyancy-driven mixed convection heat and mass transfer flow over an inclined porous plate with Joule heating, nonlinear thermal radiation, viscous dissipation, and thermophoresis effects

Numerical Heat Transfer, Part B Fundamentals, 2022
This study considered a classical magnetohydrodynamics (MHD) mixed convection heat and mass transfer flow over an inclined porous plate with thermophoresis, Joule heating, viscous dissipation, and nonlinear thermal radiation.
B. Jha, Gabriel Samaila
semanticscholar   +1 more source

Optimal Switching Time Control for Suppressing Residual Vibration in a High-Speed Macro-Micro Manipulator System

IEEE Transactions on Control Systems Technology, 2021
This brief studies a novel residual vibration suppression problem arising in a high-speed macromicromanipulator system designed for various precision positioning tasks.
Tehuan Chen   +3 more
semanticscholar   +1 more source

An applied mathematical excursion through Lyapunov inequalities, classical analysis and Differential Equations

, 2011
Several different problems make the study of the so called Lyapunov type inequalities of great interest, both in pure and applied mathematics. Although the original historical motivation was the study of the stability properties of the Hill equation ...
A. Cañada, S. Villegas
semanticscholar   +1 more source

Combination of anti-PD-L1 and radiotherapy in hepatocellular carcinoma: a mathematical model with uncertain parameters

International Conference on Advances in System Simulation, 2022
Blockade of programmed death-ligand-1 (PD-L1) as a new method of immunotherapy for cancers has shown limited efficacy in hepatocellular carcinoma (HCC). The combination of anti-PD-L1 and radiotherapy (RT) enhances the antitumor effect in HCC cancer.
Sajad Shafiekhani   +2 more
semanticscholar   +1 more source

Approximate analytical solution of fractional order biochemical reaction model and its stability analysis

International Journal of Biomathematics, 2019
Approximate analytical solution of the system of coupled nonlinear Ordinary Differential Equations (ODEs) of a biochemical reaction model is much relevant due to its practical significance to biochemists.
V. Dubey, Rajnesh Kumar, Devendra Kumar
semanticscholar   +1 more source

Analysis and numerical solutions of delay differential algebraic equations

, 2015
With this thesis, we aim to lay the foundation for the solvability analysis of initial value problems (IVPs) for delay differential-algebraic equations (DDAEs).
Phi Ha
semanticscholar   +1 more source

Bayesian sampling using interacting particles

arXiv.org
Bayesian sampling is an important task in statistics and machine learning. Over the past decade, many ensemble-type sampling methods have been proposed.
Shi Chen, Zhiyan Ding, Qin Li
semanticscholar   +1 more source

A Study on Some Numerical Methods for Simulating Mathematical Models of Ordinary Differential Equations

UMYU Scientifica
Study’s Excerpt:• The study evaluates numerical methods for ODEs to guide suitable model simulations.• Adomian Decomposition suits decay/growth models; block method excels in all problems, including SIR.• The study highlights numerical methods' ease and ...
Adamu Samuel   +4 more
semanticscholar   +1 more source

High-order expansion of Neural Ordinary Differential Equations flows

arXiv.org
Artificial neural networks, widely recognised for their role in machine learning, are now transforming the study of ordinary differential equations (ODEs), bridging data-driven modelling with classical dynamical systems and enabling the development of ...
Dario Izzo   +3 more
semanticscholar   +1 more source

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