Numerical solution of fuzzy differential equations by predictor-corrector method

  • Authors:

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

  • Affiliations:

  • Department of Mathematics, Science and Research Branch, Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran;Department of Mathematics, Science and Research Branch, Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran;Department of Mathematics, Science and Research Branch, Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2007

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Abstract

In this paper three numerical methods to solve ''The fuzzy ordinary differential equations'' are discussed. These methods are Adams-Bashforth, Adams-Moulton and predictor-corrector. Predictor-corrector is obtained by combining Adams-Bashforth and Adams-Moulton methods. Convergence and stability of the proposed methods are also proved in detail. In addition, these methods are illustrated by solving two fuzzy Cauchy problems.