Results 1 to 10 of about 304,940 (242)

Mathematical Analysis of Reaction-Diffusion Equations Modeling the Michaelis-Menten Kinetics in a Micro-Disk Biosensor. [PDF]

Molecules, 2021
Khan NA, Alshammari FS, Romero CAT, Sulaiman M, Laouini G.   +4 more
europepmc   +1 more source

Method of lines for reaction-diffusion systems admittting invariant regions

Acta Polytechnica
Systems of nonlinear reaction-diffusion equations arise in various fields, including chemistry, population dynamics, pattern formation, phase transitions, and image processing.
Niels van der Meer, Michal Beneš
doaj   +1 more source

Depinning transitions in discrete reaction-diffusion equations

, 2002
We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling waves to
Bonilla, L. L., Carpio, A.
core   +1 more source

Dynamical Behavior of Nonlinear Coupled Reaction-Diffusion Model: A Numerical Study Utilizing ADI and Staggered Grid Finite Volume Method in Matlab

IEEE Access
In this research, we present two Numerical algorithms for studying the dynamics of spatially extended coupled nonlinear reaction-diffusion model. The difference in this work is to model a system of reacting and diffusing chemicals, and how to predict the
Muhammad Saqib, Farhan Akhtar, Shahid Hasnain, Imran Abbas, Sameh Askar, Muhammad Farman   +5 more
doaj   +1 more source

Fourier Neural Operator Networks for Solving Reaction–Diffusion Equations

Fluids
In this paper, we used Fourier Neural Operator (FNO) networks to solve reaction–diffusion equations. The FNO is a novel framework designed to solve partial differential equations by learning mappings between infinite-dimensional functional spaces.
Yaobin Hao, Fangying Song
doaj   +1 more source

Minimum wave speeds in monostable reaction-diffusion equations: sharp bounds by polynomial optimization. [PDF]

Proc Math Phys Eng Sci, 2020
Bramburger JJ, Goluskin D.
europepmc   +1 more source

Analysis and application of diffusion equations involving a new fractional derivative without singular kernel

Electronic Journal of Differential Equations, 2017
In this article, a family of nonlinear diffusion equations involving multi-term Caputo-Fabrizio time fractional derivative is investigated. Some maximum principles are obtained.
Lihong Zhang, Bashir Ahmad, Guotao Wang
doaj  

Computation of solution to fractional order partial reaction diffusion equations. [PDF]

J Adv Res, 2020
Gul H, Alrabaiah H, Ali S, Shah K, Muhammad S.   +4 more
europepmc   +1 more source

A HYBRID METHOD FOR STIFF REACTION-DIFFUSION EQUATIONS. [PDF]

Discrete Continuous Dyn Syst Ser B, 2019
Qiu Y, Chen W, Nie Q.
europepmc   +1 more source

Influence of human behavior on COVID-19 based on reaction diffusion equations

, 2023
Zhi S, Niu H, Su Y, Han X.
europepmc   +1 more source