Issue |
EPJ Web of Conferences
Volume 108, 2016
Mathematical Modeling and Computational Physics (MMCP 2015)
|
|
---|---|---|
Article Number | 02017 | |
Number of page(s) | 6 | |
Section | Conference Contributions | |
DOI | https://doi.org/10.1051/epjconf/201610802017 | |
Published online | 09 February 2016 |
https://doi.org/10.1051/epjconf/201610802017
Numerical Solution of a Nonlinear Integro-Differential Equation
1 Department of Mathematics and Theoretical Informatics, FEE&I, Technical University, Košice, Slovakia
2 Faculty of Sciences, P. J. Šafarik University, Košice, Slovakia
3 Institute of Experimental Physics SAS, Košice, Slovakia
4 Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow Region, Russia
5 Department of Military Technology, National Defence University, Helsinki, Finland
6 Fakultät für Physik, Universität Duisburg-Essen, D-47048 Duisburg, Germany
a e-mail: jan.busa@tuke.sk
b e-mail: hnatic@saske.sk
c e-mail: juha.honkonen@helsinki.fi
Published online: 9 February 2016
A discretization algorithm for the numerical solution of a nonlinear integrodifferential equation modeling the temporal variation of the mean number density a(t) in the single-species annihilation reaction A + A → 0 is discussed. The proposed solution for the two-dimensional case (where the integral entering the equation is divergent) uses regularization and then finite differences for the approximation of the differential operator together with a piecewise linear approximation of a(t) under the integral. The presented numerical results point to basic features of the behavior of the number density function a(t) and suggest further improvement of the proposed algorithm.
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.