Algorithms for numerical solution of the modified equal width wave equation using collocation method

SAKA B.

MATHEMATICAL AND COMPUTER MODELLING, cilt.45, sa.9-10, ss.1096-1117, 2007 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 9-10
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.mcm.2006.09.012
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.1096-1117
  • Anahtar Kelimeler: MEW equation, collocation, solitary waves, quintic B-spline, partial differential equations, FINITE-ELEMENT-METHOD, RLW EQUATION, B-SPLINES, GALERKIN METHOD, SOLITARY WAVES
  • İstanbul Üniversitesi Adresli: Hayır

Özet

Quintic B-spline collocation algorithms for numerical solution of the modified equal width wave (MEW) equation have been proposed. The algorithms are based on Crank-Nicolson formulation for time integration and quintic B-spline functions for space integration. Quintic B-spline collocation method over the finite intervals is also applied to the time split MEW equation and space split MEW equation. Results for the three algorithms are compared by studying the propagation of the solitary wave, interaction of the solitary waves, wave generation and birth of solitons.