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Increasing the efficiency of shooting methods for terminal value problems of fractional order

  • Shooting methods are a well established tool for the numerical solution of terminal value problems of fractional order. However, they can be computationally quite expensive because of their iterative nature in which (a) each single iteration may be costly, and (b) the number of iterations can be large. In this paper we propose algorithmic strategies for improving the efficiency of such methods. Our strategies are aimed at simultaneously reducing the cost of each iteration and reducing the number of required iterations.

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Metadaten
Author:Kai Diethelm
URN:urn:nbn:de:bvb:863-opus-20658
DOI:https://doi.org/https://doi.org/10.1016/j.jcp.2014.10.054
Parent Title (English):Journal of Computational Physics
Document Type:Article
Language:English
Year of publication:2015
Publishing Institution:Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt
Release Date:2022/07/20
Volume:293
First Page:135
Last Page:141
Comments:
Accepted version des Artikels
Open access colour:Grün (Zweitveröffentlichung)
Licence (German):License LogoCreative Commons - CC BY-NC-ND - Namensnennung - Nicht kommerziell - Keine Bearbeitungen 4.0 International
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