Results 31 to 40 of about 26,590 (142)

On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion

International Journal for Numerical Methods in Fluids, EarlyView.
Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras, Hervé Guillard, Boniface Nkonga, Francesca Rapetti   +3 more
wiley   +1 more source

The Logistic Function in Glass Transition Models of Amorphous Polymers: II. A Theoretical Framework for Isothermal Compression Processes

Macromolecular Theory and Simulations, EarlyView.
An exactly‐solvable Riccati equation that approximates the macroscopic‐phenomenological behavior of amorphous polymers at glass transition pressure, Pg${P}_{g}$, is derived within thermodynamics with internal state variables. This work confirms the validity of the logistic function in glass transition models of amorphous polymers and establishes a ...
Claudio Corbisieri
wiley   +1 more source

Construction of Soliton Solutions of Time-Fractional Caudrey-Dodd-Gibbon-Sawada-Kotera Equation with Painlevé Analysis in Plasma Physics

Symmetry
Fractional calculus with symmetric kernels is a fast-growing field of mathematics with many applications in all branches of science and engineering, notably electromagnetic, biology, optics, viscoelasticity, fluid mechanics, electrochemistry, and signals
Khadija Shakeel, A. Lupaș, Muhammad Abbas, P. Mohammed, F. A. Abdullah, Mohamed Abdelwahed   +5 more
semanticscholar   +1 more source

Exponential-Krylov methods for ordinary differential equations

, 2014
This paper develops a new class of exponential-type integrators where all the matrix exponentiations are performed in a single Krylov space of low dimension.
Sandu, Adrian, Tranquilli, Paul
core   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Mathematical Modeling and Optimal Control of Combined Virotherapy and Adoptive T Cell Therapy for Cancer Treatment

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we investigate the synergistic roles of adoptive T cell therapy (ACT), specifically using tumor‐infiltrating lymphocytes (TILs) and oncolytic virus (OV) therapy in enhancing cancer treatment efficacy. While OVs can initiate tumor destruction, they often fail to achieve complete tumor eradication or generate a strong antitumor ...
Salaheldin Omer, Hermane Mambili‐Mamboundou, Rachid Ouifki   +2 more
wiley   +1 more source

Reductions of Gauss-Codazzi equations

, 2016
We prove that conformally parametrized surfaces in Euclidean space $\Rcubec$ of curvature $c$ admit a symmetry reduction of their Gauss-Codazzi equations whose general solution is expressed with the sixth Painlev\'e function.
Conte, Robert, Grundland, A. Michel
core   +1 more source

Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley   +1 more source