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The Evolution of Finite Element Approaches in Reaction-Diffusion Modeling
This paper presents a comprehensive review of finite element methods (FEMs) applied to a
diverse range of reaction-diffusion equations (RDEs). Beginning with a historical overview of …
diverse range of reaction-diffusion equations (RDEs). Beginning with a historical overview of …
First-passage problem in random vibrations with radial basis function neural networks
X Wang, J Jiang, L Hong… - … of Vibration and …, 2022 - asmedigitalcollection.asme.org
The first-passage time probability plays an important role in the reliability assessment of
dynamic systems in random vibrations. To find the solution of the first-passage time …
dynamic systems in random vibrations. To find the solution of the first-passage time …
A theory of pattern formation for reaction–diffusion systems on temporal networks
Networks have become ubiquitous in the modern scientific literature, with recent work
directed at understanding 'temporal networks'—those networks having structure or topology …
directed at understanding 'temporal networks'—those networks having structure or topology …
Langevin picture of anomalous diffusion processes in expanding medium
X Wang, Y Chen - Physical Review E, 2023 - APS
The expanding medium is very common in many different fields, such as biology and
cosmology. It brings a nonnegligible influence on particle's diffusion, which is quite different …
cosmology. It brings a nonnegligible influence on particle's diffusion, which is quite different …
Continuous time random walk in a velocity field: role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing
We consider the emerging dynamics of a separable continuous time random walk (CTRW)
in the case when the random walker is biased by a velocity field in a uniformly growing …
in the case when the random walker is biased by a velocity field in a uniformly growing …
[HTML][HTML] Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations
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 …
reaction rate term. The latter term is obtained directly from a reaction rate equation which is …
A class of anomalous diffusion epidemic models based on CTRW and distributed delay
In recent years, the epidemic model with anomalous diffusion has gained popularity in the
literature. However, when introducing anomalous diffusion into epidemic models, they …
literature. However, when introducing anomalous diffusion into epidemic models, they …
Exact sharp-fronted solutions for nonlinear diffusion on evolving domains
Abstract Models of diffusive processes that occur on evolving domains are frequently
employed to describe biological and physical phenomena, such as diffusion within …
employed to describe biological and physical phenomena, such as diffusion within …
Numerical approximation of the first-passage time distribution of time-varying diffusion decision models: A mesh-free approach
Sequential sampling theory is the dominant theoretical framework for explaining human
decision making behavior. In this theory, the decision process is determined by a stochastic …
decision making behavior. In this theory, the decision process is determined by a stochastic …
[HTML][HTML] Multi-order fractional nonlinear evolution equations system
In this paper, the existence and uniqueness of a solution to a multi-order fractional nonlinear
evolution equations system are studied by applying Banach's Fixed Point Theorem and …
evolution equations system are studied by applying Banach's Fixed Point Theorem and …