Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian

  • Authors:

  • Mehdi Dehghan;Mehdi Tatari

  • Affiliations:

  • Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran;Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran

  • Venue:
  • International Journal of Computer Mathematics
  • Year:
  • 2010

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Abstract

Third-order boundary value problems (BVPs) were discussed in many papers in recent years. The existence of solutions to these problems is shown under certain conditions. Finding the exact or approximate solution of these problems is not easy especially when the boundary conditions are non-linear. In this paper, we present a method for solving a class of third-order BVPs with non-linear boundary conditions. The decomposition procedure of Adomian is used for solving these problems and the advantages of this method over the other existing methods are shown. Numerical results are presented to show the efficiency of the developed method.