Application of adomian decomposition method for singularly perturbed fourth order boundary value problems

Deniz S., Bildik N.

International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015, Rhodes, Yunanistan, 23 - 29 Eylül 2015, cilt.1738, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1738
  • Doi Numarası: 10.1063/1.4952089
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Adomian Decomposition Method, Singularly Perturbed Boundary Value Problem
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we use Adomian Decomposition Method (ADM) to solve the singularly perturbed fourth order boundary value problem. In order to make the calculation process easier, first the given problem is transformed into a system of two second order ODEs, with suitable boundary conditions. Numerical illustrations are given to prove the effectiveness and applicability of this method in solving these kinds of problems. Obtained results shows that this technique provides a sequence of functions which converges rapidly to the accurate solution of the problems.