Numerical Solutions of Regularized Long Wave Equation By Haar Wavelet Method

ORUC O., BULUT F., ESEN A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, sa.5, ss.3235-3253, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-016-0682-z
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3235-3253
  • Anahtar Kelimeler: Regularized long wave, Haar wavelet method, Finite difference, Wavelets, SPLINE COLLOCATION ALGORITHMS, RLW EQUATION, GALERKIN METHOD, COMPUTATIONAL METHOD, APPROXIMATION, SIMULATION, SCHEME, 2D
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we are going to investigate numerical solutions of the regularized long wave (RLW) equation by using Haar wavelet (HW), combined with finite difference method. The motion of a single solitary wave, interaction of two solitary waves, Maxwellian initial condition and wave undulation are our test problems for measuring performance of the proposed method. The results of computations are compared with exact solutions and those already published. and error norms and the numerical conservation laws are computed for discussing the accuracy and efficiency of the proposed method.