Improved predictor-corrector method for solving fuzzy initial value problems

  • Authors:

  • T. Allahviranloo;S. Abbasbandy;N. Ahmady;E. Ahmady

  • Affiliations:

  • Department of Mathematics, Science and Research Branch Islamic, Azad University, Tehran, Iran;Department of Mathematics, Science and Research Branch Islamic, Azad University, Tehran, Iran and Department of Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran;Department of Mathematics, Islamic Azad University, Varamin-Pishva Branch, Iran;Islamic Azad University, Shahryar-shahr-e-Qods-Branch, Iran

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

In this paper, an improved predictor-corrector (IPC) method is proposed to solve the ''fuzzy initial value problem''. The IPC method is generated by combining an explicit three-step method and an implicit two-step method. The methods are compared with the methods discussed in [T. Allahviranloo, N. Ahmady, E. Ahmady, Numerical solution of fuzzy differential equations by predictor-corrector method, Information Sciences 177(7) (2007) 1633-1647], and are shown to be more accurate. The convergence and stability of the proposed methods are also presented in detail. These methods are illustrated by solving some examples.