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
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;
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.800
