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A Domain Decomposition Method for Time Fractional Reaction-Diffusion Equation [PDF]
The Scientific World Journal, 2014 The computational complexity of one-dimensional time fractional reaction-diffusion equation is O(N2M) compared with O(NM) for classical integer reaction-diffusion equation. Parallel computing is used to overcome this challenge.
Chunye Gong +4 more
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Adaptive Extraction of Oil Painting Texture Features Based on Reaction Diffusion Equation
Advances in Mathematical Physics, 2021 The oil painting retrieval technology based on the reaction diffusion equation has attracted widespread attention in the fields of oil painting processing and pattern recognition.
Qicai Huang
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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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A survey of numerical schemes for transportation equation [PDF]
E3S Web of Conferences, 2021 The convection-diffusion equation is a fundamental equation that exists widely. The convection-diffusion equation consists of two processes: diffusion and convection. The convection-diffusion equation can also be called drift-diffusion equaintion.
Yu Simin
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Spatial dynamics of a nonlocal bistable reaction diffusion equation
Electronic Journal of Differential Equations, 2020 This article concerns a nonlocal bistable reaction-diffusion equation with an integral term. By using Leray-Schauder degree theory, the shift functions and Harnack inequality, we prove the existence of a traveling wave solution connecting 0 to an ...
Bang-Sheng Han +2 more
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Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation
Advances in Mathematical Physics, 2023 The time-fractional diffusion equation coupled with a first-order irreversible reaction is investigated by employing integral transforms. We derive Green’s functions for short and long times via approximations of the Mittag-Leffler function.
Alexey Zhokh, Peter Strizhak
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Qualitative properties of solutions to a reaction-diffusion equation with weighted strong reaction
Electronic Journal of Differential Equations, 2023 We study the existence and qualitative properties of solutions to the Cauchy problem associated to the quasilinear reaction-diffusion equation $$ \partial_tu=\Delta u^m+(1+|x|)^{\sigma}u^p, $$ posed for \((x,t)\in\mathbb{R}^N\times(0,\infty)\), where ...
Razvan Gabriel Iagar +2 more
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Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation
Journal of Function Spaces, 2022 The present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this
Nehad Ali Shah +3 more
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Multistage reaction‐diffusion equation network for image super‐resolution
IET Image Processing, 2021 Deep learning‐based models have progressed considerably in single‐image super‐resolution. A high‐resolution pattern generation task is performed at the end of convolution neural networks (CNNs) with some convolution‐based operations in these models ...
Xiaofeng Pu, Zengmao Wang
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Exact Solutions for Some Partial Differential Equations by Using First Integral Method [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, some exact solutions for the convection–diffusion–reaction equation in two dimensions and a nonlinear system of partial differential equations are formally derived by using the first integral method, which are based on the theory of ...
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