Results 21 to 30 of about 644,555 (334)
Thermal Science, 2021 This paper structures some new reproductive kernel spaces based on Legendre polynomials to solve time variable order fractional advection-reaction-diffusion equations. Some examples are given to show the effectiveness and reliability of the method.
Dandan Dai +3 more
semanticscholar +1 more source
Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
Mathematics, 2023 This study is devoted to reaction–diffusion equations with spatially anisotropic time delay. Reaction–diffusion PDEs with either constant or variable transfer coefficients are considered.
Andrei D. Polyanin, Vsevolod G. Sorokin
doaj +1 more source
Exact solutions of nonlinear delay reaction–diffusion equations with variable coefficients
Partial Differential Equations in Applied Mathematics, 2021 A modified method of functional constraints is used to construct the exact solutions of nonlinear equations of reaction–diffusion type with delay and which are associated with variable coefficients.
M.O. Aibinu, S.C. Thakur, S. Moyo
doaj +1 more source
Study of ODE limit problems for reaction-diffusion equations [PDF]
Opuscula Mathematica, 2018 In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters.
Jacson Simsen +2 more
doaj +1 more source
Numerical Solutions of Space-Fractional Advection–Diffusion–Reaction Equations
Fractal and Fractional, 2021 Background: solute transport in highly heterogeneous media and even neutron diffusion in nuclear environments are among the numerous applications of fractional differential equations (FDEs), being demonstrated by field experiments that solute ...
Valentina Anna Lia Salomoni +1 more
doaj +1 more source
, 2020 This article mainly explores and applies a modified form of the analytical method, namely the homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction–diffusion equations (TFCRDEs). Then mainly we address the error norms L 2 $
Sunil Kumar +4 more
semanticscholar +1 more source
Diffusion-reaction modelling of the degradation of oil-well cement exposed to carbonated brine [PDF]
, 2017 The essential aspects of a diffusion-reaction model in development for the degradation process of oil-well cement exposed to carbonated brine are presented in this paper.
Carol, Ignacio +3 more
core +3 more sources
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
openaire +2 more sources
Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems [PDF]
, 2015 In this article, we formulate new models for coupled systems of bulk-surface reaction–diffusion equations on stationary volumes. The bulk reaction–diffusion equations are coupled to the surface reaction–diffusion equations through linear Robin-type ...
Chung, Andy H W +2 more
core +2 more sources
Improved duality estimates and applications to reaction-diffusion equations [PDF]
, 2013 We present a refined duality estimate for parabolic equations. This estimate entails new results for systems of reaction-diffusion equations, including smoothness and exponential convergence towards equilibrium for equations with quadratic right-hand ...
Cañizo, José A. +2 more
core +3 more sources