turing computability of the solution operator of a higher order modified camassa-holm equation
- 10.2991/iccset-14.2015.83How to use a DOI?
- Modified Camassa-Holm equation, Solution operator, Turing computability, TTE theory, Duhamel principle
In this paper, we mainly discuss the Turing computability of the solution operator of a higher order modified Camassa-Holm equation. Firstly, we transform the equation to its integral equation by Duhamel principle. Then applying the TTE theory, we prove that the solution operator of the integral equation is computable in a short interval. Finally, by constructing computable function, we extend the solution from partial internal to the entire space. The result enlarge the application in computing differential equations on digital computers.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Dianchen Lu AU - Qiaoqiao Chen PY - 2015/01 DA - 2015/01 TI - turing computability of the solution operator of a higher order modified camassa-holm equation BT - Proceedings of the 2014 International Conference on Computer Science and Electronic Technology PB - Atlantis Press SP - 374 EP - 378 SN - 2352-538X UR - https://doi.org/10.2991/iccset-14.2015.83 DO - 10.2991/iccset-14.2015.83 ID - Lu2015/01 ER -