Search Results - subject:"Split-step method"

A numerical study of the long wave–short wave interaction equations

Borluk, H.; Muslu, G.M.; Erbay, H.A. - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 2, pp. 113-125

-, second- and fourth-order versions of the split-step method, which are first-, second- and fourth-order accurate in time …, respectively. The present split-step method profits from the existence of a simple analytical solution for the nonlinear subproblem …

Persistent link: https://www.econbiz.de/10010870756

Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation

Muslu, G.M.; Erbay, H.A. - In: Mathematics and Computers in Simulation (MATCOM) 67 (2005) 6, pp. 581-595

The generalized nonlinear Schrödinger (GNLS) equation is solved numerically by a split-step Fourier method. The first, second and fourth-order versions of the method are presented. A classical problem concerning the motion of a single solitary wave is used to compare the first, second and...

Persistent link: https://www.econbiz.de/10011050177

Parallel implementation of the split-step and the pseudospectral methods for solving higher KdV equation

Guo, Jinhua; Taha, Thiab R. - In: Mathematics and Computers in Simulation (MATCOM) 62 (2003) 1, pp. 41-51

Numerical simulations show that higher order KdV equation under certain conditions has a self-focusing singularity, which means that the solution of the equation blows up in finite time. In this paper, two numerical schemes: the split-step Fourier transform and the pseudospectral methods are...

Persistent link: https://www.econbiz.de/10010870581