turing computability of the solution operator of a higher order modified camassa-holm equation

DOI

10.2991/iccset-14.2015.83How to use a DOI?

Keywords

Modified Camassa-Holm equation, Solution operator, Turing computability, TTE theory, Duhamel principle

Abstract

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.

Copyright

© 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/).

Download article (PDF)

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  -