DocumentCode
2229409
Title
On the Computability of Boundary-Value-Problem of the KdV-Burgers Equation
Author
Lu, Dianchen ; Miao, Renxiang
Author_Institution
Nonlinear Sci. Res. Center, Jiangsu Univ., Zhenjiang, China
fYear
2009
fDate
26-28 Dec. 2009
Firstpage
4051
Lastpage
4053
Abstract
In this paper, we explore the computability of the solution operator associated with boundary-value-problem of the KdV-Burgers equation. By effectivizing the classic methods to solve nonlinear dispersive equations, we show that the solution operator of IBVP of KdV-Burgers equation is Turing computable. This improves the existing results.
Keywords
Turing machines; computability; initial value problems; nonlinear equations; KdV-Burger equation; Turing machine; initial boundary value problem; nonlinear dispersive equations; solution operator computability; Dispersion; Information science; Mathematical model; Mathematics; Nonlinear equations; Polynomials; Turing machines;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-4909-5
Type
conf
DOI
10.1109/ICISE.2009.800
Filename
5455398
Link To Document