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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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Fractional Reaction-Diffusion Equations [PDF]
Astrophysics and Space Science, 2006 LaTeX, 17 pages, corrected ...
Saxena, R. K. +2 more
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Fractional reaction-diffusion equation [PDF]
The Journal of Chemical Physics, 2003 A fractional reaction-diffusion equation is derived from a continuous time random walk model when the transport is dispersive. The exit from the encounter distance, which is described by the algebraic waiting time distribution of jump motion, interferes with the reaction at the encounter distance. Therefore, the reaction term has a memory effect.
Seki, Kazuhiko +2 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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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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Stochastic Homogenization for Reaction–Diffusion Equations [PDF]
Archive for Rational Mechanics and Analysis, 2018 In the present paper we study stochastic homogenization for reaction-diffusion equations with stationary ergodic reactions. We first show that under suitable hypotheses, initially localized solutions to the PDE asymptotically become approximate characteristic functions of a ballistically expanding Wulff shape.
Jessica Lin, Andrej Zlatoš
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Barycentric rational collocation method for fractional reaction-diffusion equation
AIMS Mathematics, 2023 Barycentric rational collocation method (BRCM) for solving spatial fractional reaction-diffusion equation (SFRDE) is presented. New Gauss quadrature with weight function $ (s_{\theta}-\tau)^{\xi-\alpha} $ is constructed to approximate fractional integral.
Jin Li
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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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