Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-21
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We present novel iterative splitting methods to solve integrodifferential equations.
Such integrodifferential equations are applied, for example, in scattering problems of plasma simulations.
We concentrate on a linearised integral part and a reformulation to a system of first order differential equations.
Such modifications allow for applying standard iterative splitting schemes and for extending the schemes, respecting the integral operator.
A numerical analysis is presented of the system of semidiscretised differential equations as abstract Cauchy problems.
In the applications, we present benchmark and initial realistic applicationsto transport problems with scattering terms.
We also discuss the benefits of such iterative schemes as fast solver methods.
American Psychological Association (APA)
Geiser, Juergen. 2014. Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039769
Modern Language Association (MLA)
Geiser, Juergen. Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1039769
American Medical Association (AMA)
Geiser, Juergen. Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039769
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039769