Numerical solution of the Rosenau-KdV-RLW equation by using RBFs collocation method

Korkmaz B., DERELİ Y.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.27, sa.10, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 10
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s0129183116501175
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Rosenau-type equations, Fourier analysis, RBFs collocation method, RADIAL BASIS FUNCTIONS, PARTIAL-DIFFERENTIAL-EQUATIONS, COMPUTATIONAL FLUID-DYNAMICS, DATA APPROXIMATION SCHEME, CONVERGENCE, MULTIQUADRICS
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this study, a meshfree method based on the collocation with radial basis functions (RBFs) is proposed to solve numerically an initial-boundary value problem of Rosenau-KdV-regularized long-wave (RLW) equation. Numerical values of invariants of the motion are computed to examine the fundamental conservative properties of the equation. Computational experiments for the simulation of solitary waves examine the accuracy of the scheme in terms of error norms L-2 and L-infinity. Linear stability analysis is investigated to determine whether the present method is stable or unstable. The scheme gives unconditionally stable, and second-order convergent. The obtained results are compared with analytical solution and some other earlier works in the literature. The presented results indicate the accuracy and efficiency of the method.