An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation

Su C., Muslu G. M.

BIT NUMERICAL MATHEMATICS, cilt.61, sa.4, ss.1397-1419, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s10543-021-00865-0
  • Dergi Adı: BIT NUMERICAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1397-1419
  • Anahtar Kelimeler: Error estimate, Exponential integrator, Improved Boussinesq equation, Long-time dynamics, Sine pseudospectral method
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

A Deuflhard-type exponential integrator sine pseudospectral (DEI-SP) method is proposed and analyzed for solving the generalized improved Boussinesq (GIBq) equation. The numerical scheme is based on a second-order exponential integrator for time integration and a sine pseudospectral discretization in space. Rigorous analysis and abundant experiments show that the method converges quadratically and spectrally in time and space, respectively. Finally the DEI-SP method is applied to investigate the complicated and interesting long-time dynamics of the GIBq equation.