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
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
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