A fourth-order exponential wave integrator Fourier pseudo-spectral method for the Klein–Gordon equation. (November 2020)

• Record Type: Journal Article
• Authors: Ji, Bingquan; Zhang, Luming
• Is Part Of: Applied mathematics letters. Volume 109(2020)
• Publication Date: 2020-11
• Subjects: Klein–Gordon equation -- Fourth-order exponential wave integrator -- Fourier pseudo-spectral method -- Error estimate; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106519
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper is concerned with a fourth-order exponential wave integrator Fourier pseudo-spectral method for solving the Klein–Gordon equation. We suggest a new numerical integration formula to approximate the time integral term in the phase space. The error estimate shows the suggested numerical method is fourth-order accurate in time and spectral accurate in space. The theoretical findings are confirmed by numerical experiments.