Results 11 to 20 of about 105,458 (263)
Perturbative linearization of reaction diffusion equations [PDF]
Journal of Physics A: Mathematical and General, 2003 We develop perturbative expansions to obtain solutions for the initial-value problems of two important reaction-diffusion systems, viz., the Fisher equation and the time-dependent Ginzburg-Landau (TDGL) equation. The starting point of our expansion is the corresponding singular-perturbation solution.
Puri, Sanjay, Wiese, Kay Jörg
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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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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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Fractional Diffusion Equation under Singular and Non-Singular Kernel and Its Stability
Fractal and Fractional, 2023 The fractional reaction–diffusion equation has been used in many real-world applications in fields such as physics, biology, and chemistry. Motivated by the huge application of fractional reaction–diffusion, we propose a numerical scheme to solve the ...
Enrique C. Gabrick +8 more
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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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A Diffusion Equation with a Variable Reaction Order
Advanced Nonlinear Studies, 2018 This paper deals with the ...
García-Melián Jorge +2 more
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Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source
Advances in Mathematical Physics, 2014 This paper is devoted to understand the blow-up properties of reaction-diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p-Laplacian equation with a localized reaction.
Yulan Wang, Xiaojun Song, Chao Ye
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IEEE Access, 2018 This paper is concerned with the numerical approximation of a nonlinear convection–reaction–diffusion equation with distributed delay. Using the stable recovery, we convert the original equation into nonlinear reaction–diffusion ...
Ziying He, Fengyan Wu, Hongyu Qin
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Complexity, 2020 In this research work, we focused on finding the numerical solution of time-fractional reaction-diffusion and another class of integro-differential equation known as the integro reaction-diffusion equation.
Sachin Kumar, Jinde Cao, Xiaodi Li
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