Skogestad, Jan Ole; Kalisch, Henrik - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 1, pp. 151-163
Solutions of a boundary value problem for the Korteweg–de Vries equation are approximated numerically using a finite-difference method, and a collocation method based on Chebyshev polynomials. The performance of the two methods is compared using exact solutions that are exponentially small at...