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, Greece, 23 - 29 September 2015, vol.1738, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1738
  • Doi Number: 10.1063/1.4952089
  • City: Rhodes
  • Country: Greece
  • Keywords: Adomian Decomposition Method, Singularly Perturbed Boundary Value Problem
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.