English

Operator splitting for dispersion-generalized Benjamin-Ono equations

Analysis of PDEs 2018-01-17 v1 Numerical Analysis

Abstract

We consider the operator splitting for a class of nonlinear equation, which includes the KdV equation, the Benjamin-Ono equation, and the Burgers equation. We prove a first-order approxomation in Δt\Delta t in the Sobolev space for the Godunov splitting, and second-order approximation for the Strang splitting.

Keywords

Cite

@article{arxiv.1801.05130,
  title  = {Operator splitting for dispersion-generalized Benjamin-Ono equations},
  author = {Takanobu Tokumasu},
  journal= {arXiv preprint arXiv:1801.05130},
  year   = {2018}
}
R2 v1 2026-06-22T23:46:19.442Z