A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125037
Abstract: We review the series solutions of the general and single-confluent Heun equations in terms of powers, ordinary-hypergeometric and confluent-hypergeometric functions. The conditions under which the expansions reduce to finite sums as well as the cases… read more here.
Keywords: generalized hypergeometric; confluent heun; confluent; general single ... See more keywords
Tracer Diffusion beyond Gaussian Behavior: Explicit Results for General Single-File Systems.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review letters"
DOI: 10.1103/physrevlett.132.217101
Abstract: Single-file systems, in which particles diffuse in narrow channels while not overtaking each other, is a fundamental model for the tracer subdiffusion observed in confined geometries, such as in zeolites or carbon nanotubes. Twenty years… read more here.
Keywords: file; single file; file system; general single ... See more keywords
A General Single-Node Second-Order Dirichlet Boundary Condition for the Convection-Diffusion Equation Based on the Lattice Boltzmann Method
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020265
Abstract: A general single-node second-order Dirichlet boundary condition for curved boundaries for the convection–diffusion equation based on the lattice Boltzmann method has been developed. The boundary condition simply utilizes the bounce back rule for the temperature… read more here.
Keywords: general single; boundary condition; second order; single node ... See more keywords