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Detailed Error Analysis for a Fractional Adams Method
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Citations
Cited by
Algorithms for the fractional calculus: A selection of numerical methods
Diethelm, K., Ford, N. J., Freed, A. D., & Luchko, Y. (2005) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2004.06.006 · Cited by 684
Self-citationThe Grünwald–Letnikov method for fractional differential equations
Scherer, R., Kalla, S. L., Tang, Y., & Huang, J. (2011) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2011.03.054 · Cited by 477
Atangana, A., & Gómez-Aguilar, J. F. (2018) · The European Physical Journal Plus · doi:10.1140/epjp/i2018-12021-3 · Cited by 425
The 2017 IEEE International Conference on Fuzzy Systems
(2016) · IEEE Computational Intelligence Magazine · doi:10.1109/mci.2016.2545826 · Cited by 308
Synchronization of chaotic fractional-order systems via active sliding mode controller
Tavazoei, M. S., & Haeri, M. (2008) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2007.08.039 · Cited by 260
Metadata
- Authors
- Diethelm, K., Ford, N. J., & Freed, A. D.
- Venue
- Numerical Algorithms
- Published
- 2004-05
- Volume
- 36
- Issue
- 1
- Pages
- 31-52
- ISSN
- 1017-1398 (ISSN-L)
- 1572-9265
- OpenAlex
- W1978349032
- Cited by
- 1,029
- References
- 0
- FWCI
- 18.11
- Type
- journal article
- Language
- en
- Open access
- closed
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Detailed Error Analysis for a Fractional Adams Method. https://app.cochat.ai/papers/10.1023/b:numa.0000027736.85078.be
- The paper
- Diethelm, K., Ford, N. J., & Freed, A. D. (2004). Detailed Error Analysis for a Fractional Adams Method. Numerical Algorithms. https://doi.org/10.1023/b%3Anuma.0000027736.85078.be
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
