Results 11 to 20 of about 100,221 (244)
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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Inverse Problems for Parabolic Equation with Discontinuous Coefficients
Nonautonomous Dynamical Systems, 2017 We consider the reaction-diffusion equation with discontinuities in the diffusion coefficient and the potential term. We start by deriving the Carleman estimate for the discontinuous reaction-diffusion operator which is deployed in the inverse problems ...
Dinakar V. +2 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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Langevin Equations for Reaction-Diffusion Processes [PDF]
Physical Review Letters, 2016 5 pages + 6 pages supplemental ...
Benitez, Federico +5 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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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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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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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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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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Stochastic reaction–diffusion equations on networks [PDF]
Journal of Evolution Equations, 2021 AbstractWe consider stochastic reaction–diffusion equations on a finite network represented by a finite graph. On each edge in the graph, a multiplicative cylindrical Gaussian noise-driven reaction–diffusion equation is given supplemented by a dynamic Kirchhoff-type law perturbed by multiplicative scalar Gaussian noise in the vertices.
M. Kovács, E. Sikolya
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