Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.027
Abstract: Abstract In this article we consider a one-dimensional reaction-diffusion problem with mixed boundary conditions. We provide conditions for the existence or nonexistence of stable nonconstant solutions whose derivative vanishes at some point. As an application,… read more here.
Keywords: problem mixed; diffusion problem; boundary conditions; mixed boundary ... See more keywords
Collocation method for solving fractional reaction–diffusion problem arising in chemistry
Sign Up to like & getrecommendations! Published in 2025 at "Scientific Reports"
DOI: 10.1038/s41598-025-05339-9
Abstract: In this study, a numerical approach was developed to approximate the solution of the Caputo-type fractional reaction–diffusion problem. In the proposed method, the Caputo fractional derivative and the integer derivatives of the equation are obtained… read more here.
Keywords: chemistry; method; problem; reaction diffusion ... See more keywords
A meshless computational approach for solving two-dimensional inverse time-fractional diffusion problem with non-local boundary condition
Sign Up to like & getrecommendations! Published in 2020 at "Inverse Problems in Science and Engineering"
DOI: 10.1080/17415977.2020.1764949
Abstract: This paper is devoted to investigating a two-dimensional inverse anomalous diffusion problem. The missing solely time-dependent Dirichlet boundary condition is recovered by imposing an additional integral measurement over the domain. An efficient computational technique based… read more here.
Keywords: diffusion problem; boundary condition; time; two dimensional ... See more keywords
On a reaction diffusion problem with a moving impulse on boundary
Sign Up to like & getrecommendations! Published in 2024 at "Random Operators and Stochastic Equations"
DOI: 10.1515/rose-2023-2023
Abstract: Abstract We study an asymptotic problem of a semilinear partial differential equation (PDE) with Neumann boundary condition, periodic coefficients and highly oscillating drift and nonlinear terms. Our analysis focuses on the double limiting behavior of… read more here.
Keywords: problem; problem moving; impulse boundary; moving impulse ... See more keywords
Fractional Step Scheme to Approximate a Non-Linear Second-Order Reaction-Diffusion Problem with Inhomogeneous Dynamic Boundary Conditions
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12040406
Abstract: Two main topics are addressed in the present paper, first, a rigorous qualitative study of a second-order reaction–diffusion problem with non-linear diffusion and cubic-type reactions, as well as inhomogeneous dynamic boundary conditions. Under certain assumptions… read more here.
Keywords: diffusion; diffusion problem; order reaction; scheme ... See more keywords