Solution of a quadratic nonlinear problem with multiple scales Lindstedt-Poincare method

Pakdemirli M., SARI G.

International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014, Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1648
  • Doi Numarası: 10.1063/1.4913170
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: perturbation methods, numerical solutions, systems with quadratic nonlinearities
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

A recently developed perturbation algorithm namely the Multiple Scales Lindstedt-Poincare method (MSLP) is employed to solve an equation with quadratic nonlinearity. Approximate solutions are obtained with classical multiple scales Method (MS) and the MSLP method and they are compared with numerical solutions. It is shown that MSLP solutions are better than the MS solutions for the strongly nonlinear case.