Title
Interval Inclusion Computation for the Solutions of the Burgers Equation
Abstract
In this paper we study the interval computation for the solutions of the Burgers equation. For the initial-boundary value problems of the Burgers equation by using the technique of the Green function, a new kind of interval method is proposed. Both algorithm and computational examples are given. Convergence is proved. From the results we see that this interval method can get a better solution with our corroboration.
Year
DOI
Venue
2009
10.1137/080722011
SIAM J. Numerical Analysis
Keywords
Field
DocType
new kind,initial-boundary value problem,burgers equation,interval method,interval inclusion computation,green function,computational example,better solution,interval computation
Boundary value problem,Mathematical optimization,Green's function,Mathematical analysis,Burgers' equation,Initial value problem,Numerical analysis,Interval arithmetic,Partial differential equation,Mathematics,Computation
Journal
Volume
Issue
ISSN
47
4
0036-1429
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
Qun Lin17814.23
Lung-An Ying254.18