Journal article
Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations
- Abstract:
-
Implicitly defined fully nonlinear differential equations can admit solutions which have only finitely many derivatives, making their solution via analytical or numerical techniques challenging. We apply the optimal homotopy analysis method (OHAM) to the solution of implicitly defined ordinary differential equations, obtaining solutions with low error after few iterations or even one iteration of the method. This is particularly true in cases where an auxiliary nonlinear operator was employed...
Expand abstract
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Authors
Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Numerical Algorithms Journal website
- Volume:
- 81
- Issue:
- 1
- Pages:
- 181-196
- Publication date:
- 2018-05-21
- Acceptance date:
- 2018-05-01
- DOI:
- EISSN:
-
1572-9265
- ISSN:
-
1017-1398
Item Description
- Keywords:
- Pubs id:
-
pubs:856859
- UUID:
-
uuid:ce784f5b-4d68-41c4-b076-e6aef8a8935f
- Local pid:
- pubs:856859
- Source identifiers:
-
856859
- Deposit date:
- 2018-07-11
Terms of use
- Copyright holder:
- Robert van Gorder
- Copyright date:
- 2018
- Notes:
- © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
Metrics
If you are the owner of this record, you can report an update to it here: Report update to this record