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2008•International Journal of Computer MathematicsRequires access

Numerical solution of hybrid fuzzy differential equations by predictor-corrector method

P. Prakash, V.K.G. Kalaiselvi

Open publisher page 22 citations

Abstract

In this paper, we study the numerical solution of hybrid fuzzy differential equations by using Adams–Bashforth, Adams–Moulton and predictor-corrector methods. Predictor-corrector is obtained by combining Adams–Bashforth and Adams–Moulton methods. In addition, we state the convergence and stability of the proposed methods. Examples are presented to illustrate the computational aspects of these methods.

About this research paper

What this paper is about

In this paper, we study the numerical solution of hybrid fuzzy differential equations by using Adams–Bashforth, Adams–Moulton and predictor-corrector methods. Predictor-corrector is obtained by combining Adams–Bashforth and Adams–Moulton methods. In addition, we state the convergence and stability of the proposed methods. Examples are presented to illustrate the computational aspects of these methods.

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OpenAlex reports 22 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we study the numerical solution of hybrid fuzzy differential equations by using Adams–Bashforth, Adams–Moulton and predictor-corrector methods. Predictor-corrector is obtained by combining Adams–Bashforth and Adams–Moulton methods. In addition, we state the convergence and stability of the proposed methods. Examples are presented to illustrate the computational aspects of these methods.

Key concepts: Linear multistep method, Predictor–corrector method, Mathematics, Convergence (economics), Work (physics), Stability (learning theory), Applied mathematics, Fuzzy logic

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