3 papers
math.NA2022
Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method
Łukasz Płociniczak, Mateusz Świtała
The aim of this work is to devise and analyse an accurate numerical scheme to solve Erdélyi-Kober fractional diffusion equation. This solution can be thought as the marginal pdf of…
physics.optics2020
Off-axis vortex beam propagation through classical optical system in terms of Kummer confluent hypergeometric function
Ireneusz Augustyniak, Weronika Lamperska, Jan Masajada +2
The analytical solution for the propagation of the laser beam with optical vortex through the system of lenses is presented. The optical vortex is introduced into the laser beam (d…
math.CA2019
Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running
Łukasz Płociniczak, Zofia Wróblewska
We consider the classic spring-mass model of running which is built upon an inverted elastic pendulum. In a natural way, there arises an interesting boundary value problem for the…