2014INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCHOpen access

Numerical solution of fuzzy differential equations by Adams predictor-corrector method and the dependency problem

K. Kanagarajan, S. Indrakumar, S. Muthukumar

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Abstract

In this paper, we study the numerical solution of Fuzzy Differential Equations by using predictor-corrector method which is obtained by combining Adams-Bashforth three-step method and Adams-Moulton two-step method. This method is adopted to solve the dependency problem in fuzzy computation. In addition, these methods are illustrated by solving two fuzzy cauchy problems.

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In this paper, we study the numerical solution of Fuzzy Differential Equations by using predictor-corrector method which is obtained by combining Adams-Bashforth three-step method and Adams-Moulton two-step method. This method is adopted to solve the dependency problem in fuzzy computation. In addition, these methods are illustrated by solving two fuzzy cauchy problems.

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Available abstract

In this paper, we study the numerical solution of Fuzzy Differential Equations by using predictor-corrector method which is obtained by combining Adams-Bashforth three-step method and Adams-Moulton two-step method. This method is adopted to solve the dependency problem in fuzzy computation. In addition, these methods are illustrated by solving two fuzzy cauchy problems.

Key concepts: Mathematics, Linear multistep method, Predictor–corrector method, Fuzzy logic, Dependency (UML), Applied mathematics, Numerical analysis, Mathematical optimization

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