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Optimized ANN-based bio-thermodynamic modeling of unsteady flows with coupled nanoparticle-microbial-activation-energy transport in heterogeneous porous media. [PDF]
Almutlg A +3 more
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Numerical investigation of a reaction-diffusion model used for rumor spreading in a 'street'. [PDF]
Pei F, Du Y.
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ON REACTION-DIFFUSION EQUATION WITH ABSORPTION
Acta Mathematica Scientia, 1993Summary: We consider the dead core and some asymptotic behaviors of solutions to the initial boundary value problems of the equation \(u_ t= \Delta u- \lambda u^ p e^ u\), where \(\lambda>0 ...
Wang, Liwen, Chen, Qingyi
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On a fractional reaction–diffusion equation
Zeitschrift für angewandte Mathematik und Physik, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Andrade, Bruno, Viana, Arlúcio
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Reaction-diffusion equations in immunology
Журнал вычислительной математики и математической физики, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bocharov G.A. +2 more
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EXACT SOLUTIONS OF A REACTION DIFFUSION EQUATION
Asymptotic Methods in Nonlinear Wave Phenomena, 2007A model equation which describes reaction diffusion processes is considered. We classify the possible forms of the material response functions involved in the gov- erning equation under interest allowing generalized separable exact solutions to hold. Exact solutions of a nonlinear second order reaction diffusion equation are calculated.
M. Carini, MANGANARO, Natale
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Reaction–Diffusion Equations and Learning
Journal of Visual Communication and Image Representation, 2002A system of coupled differential equations that learns priors for modeling “preattentive” textures is formulated. Learning is driven by the feature residuals computed from the observed values and the values calculated by the system from a synthesized image that is generated by means of a reaction?diffusion equation.
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Impulsive quenching for reaction—diffusion equations
Nonlinear Analysis: Theory, Methods & Applications, 1994Let \(H= {{\partial^ 2}/{\partial x^ 2}}- {\partial/{\partial t}}\), and \(a\), \(T\) and \(\sigma\) be positive constants. The authors consider the following quenching problem with impulses: for \(n=1,2,3,\dots\), \[ H(u)=- f(u), \qquad ...
Chan, C. Y., Ke, L., Vatsala, A. S.
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