Solving the burgers' and regularized long wave equations using the new perturbation iteration technique

Bildik N., Deniz S.

Numerical Methods for Partial Differential Equations, cilt.34, sa.5, ss.1489-1501, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1002/num.22214
  • Dergi Adı: Numerical Methods for Partial Differential Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1489-1501
  • Anahtar Kelimeler: convergence, partial differential equations, perturbation iteration method, wave equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study, an efficient framework is provided to handle nonlinear partial differential equations by implementing perturbation iteration method. This method is recovered and amended to solve the Burgers' and regularized long wave equations. Comparing our new solutions with the exact solutions reveals that this technique is extremely accurate and effective in solving nonlinear models. Convergence analysis and error estimate are also supplied using some critical theorems.