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Numerical Solution for Hybrid Fuzzy System by Adams Fourth Order Predictor-Corrector Method

T. Jayakumar, K. Kanagarajan, T. Muthukumar

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Abstract

In this paper three numerical methods to solve for hybrid fuzzy differential equations are discussed. These methods are Adams-Bashforth, Adams-Moulton and Predictor-Correctormethod 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 Cauchy problems.

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What this paper is about

In this paper three numerical methods to solve for hybrid fuzzy differential equations are discussed. These methods are Adams-Bashforth, Adams-Moulton and Predictor-Correctormethod 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 Cauchy problems.

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Available abstract

In this paper three numerical methods to solve for hybrid fuzzy differential equations are discussed. These methods are Adams-Bashforth, Adams-Moulton and Predictor-Correctormethod 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 Cauchy problems.

Key concepts: Linear multistep method, Predictor–corrector method, Convergence (economics), Mathematics, Applied mathematics, Stability (learning theory), Numerical analysis, Cauchy distribution

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