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Numerical solution of hybrid fuzzy differential equations by predictor-corrector method. (English) Zbl 1158.65049

Summary: 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.

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
26E50 Fuzzy real analysis
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
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References:

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