Results 31 to 40 of about 49,802 (165)

A hybrid approach for piecewise fractional reaction–diffusion equations

Results in Physics, 2023
In this paper, the Caputo and Atangana–Baleanu fractional derivatives are handled to introduce a type of piecewise fractional derivative. More precisely, a linear combination of the Caputo and Atangana–Baleanu fractional derivatives are considered in ...
M.H. Heydari, Sh. Zhagharian
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Macroscopic Entropy of Non-Equilibrium Systems and Postulates of Extended Thermodynamics: Application to Transport Phenomena and Chemical Reactions in Nanoparticles

Entropy, 2018
In this work, we consider extended irreversible thermodynamics in assuming that the entropy density is a function of both common thermodynamic variables and their higher-order time derivatives.
Sergey I. Serdyukov
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Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations

Entropy, 2020
A standard reaction–diffusion equation consists of two additive terms, a diffusion term and a reaction rate term. The latter term is obtained directly from a reaction rate equation which is itself derived from known reaction kinetics, together with ...
Christopher N. Angstmann, Bruce I. Henry
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Reaction diffusion equations with boundary degeneracy

Electronic Journal of Differential Equations, 2016
In this article, we consider the reaction diffusion equation $$ \frac{\partial u}{\partial t} = \Delta A(u),\quad (x,t)\in \Omega \times (0,T), $$ with the homogeneous boundary condition.
Huashui Zhan
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Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients

Journal of Applied Mathematics, 2005
We deal with a mathematical model for a four-component chemical reaction-diffusion process. The model is described by a system of strongly coupled reaction-diffusion equations with different diffusion rates.
L. W. Somathilake, J. M. J. J. Peiris
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Quantum algorithms for linear and non-linear fractional reaction-diffusion equations [PDF]

Quantum
High-dimensional fractional reaction-diffusion equations have numerous applications in the fields of biology, chemistry, and physics, and exhibit a range of rich phenomena.
Dong An, Konstantina Trivisa
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Approximating parameters in nonlinear reaction diffusion equations

Electronic Journal of Differential Equations, 2001
We present a model describing population dynamics in an environment. The model is a nonlinear, nonlocal, reaction diffusion equation with Neumann boundary conditions.
Robert R. Ferdinand
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Trotter products and reaction–diffusion equations

Journal of Computational and Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A stabilized mixed finite element method for convection-diffusion-reaction equations

四川大学学报. 自然科学版, 2023
In this paper, we propose a stabilized finite element for the convection-diffusion-reaction equations. This finite element combines the mixed finite element with the least-squares method.
YANG Xing-Yue, YANG Rong-Kui, FENG Min-Fu   +2 more
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On a Class of Reaction-Diffusion Equations with Aggregation

Advanced Nonlinear Studies, 2021
In this paper, global-in-time existence and blow-up results are shown for a reaction-diffusion equation appearing in the theory of aggregation phenomena (including chemotaxis).
Chen Li, Desvillettes Laurent, Latos Evangelos   +2 more
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