<p>Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation</p>

BULUT F., Oruc O., ESEN A.

MATHEMATICS AND COMPUTERS IN SIMULATION, cilt.197, ss.277-290, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 197
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.matcom.2022.02.006
  • Dergi Adı: MATHEMATICS AND COMPUTERS IN SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, Public Affairs Index, zbMATH
  • Sayfa Sayıları: ss.277-290
  • Anahtar Kelimeler: Higher Order Haar wavelet method, Haar wavelet method, Strang splitting, Regularized long wave equation, NUMERICAL-SOLUTION, RLW EQUATION, GALERKIN METHOD, COMPUTATIONAL METHOD, SOLITARY WAVES, SCHEME, SIMULATION, ALGORITHM, MODEL
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we are going to utilize newly developed Higher Order Haar wavelet method (HOHWM) and classical Haar wavelet method (HWM) to numerically solve the Regularized Long Wave (RLW) equation. Spatial variable of the RLW equation is treated with HOHWM and HWM separately. On the other hand temporal variable is discretized by finite differences combined with Strang splitting approach. The presented methods applied to three different test problems and the obtained results are given in tables as well as depicted in figures. The obtained results are compared with analytical results wherever they exist. The error norms L-2 and L-infinity and invariants I-1, I-2 and I-3 are used to show the accuracy of the methods when comparing the present results with those in the literature. (C)& nbsp;2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.