Interval Inclusion Computation for the Solutions of the Burgers Equation
Qun Lin, Lung-an Ying · SIAM Journal on Numerical Analysis · 2009
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.