Numerical solutions of nonhomogeneous Rosenau type equations by quintic B-spline collocation method

ÖZER S., YAĞMURLU N. M.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.45, sa.9, ss.5545-5558, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 9
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/mma.8125
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.5545-5558
  • Anahtar Kelimeler: collocation method, quintic B-Spline functions, Rosenau, Rosenau-KdV-RLW, Rosenau-Burger, Rosenau-RLW, FINITE-DIFFERENCE SCHEME, KDV-RLW EQUATION, SHOCK-WAVES, SOLITONS
  • İnönü Üniversitesi Adresli: Evet

Özet

In this study, a numerical scheme based on a collocation finite element method using quintic B-spline functions for getting approximate solutions of nonhomogeneous Rosenau type equations prescribed by initial and boundary conditions is proposed. The numerical scheme is tested on four model problems with known exact solutions. To show how accurate results the proposed scheme produces, the error norms defined by L-2 and L-infinity are calculated. Additionally, the stability analysis of the scheme is done by means of the von Neuman method.