Numerical solution of hybrid fuzzy differential equations using improved predictor-corrector method.(English)Zbl 1250.65092

Summary: The hybrid fuzzy differential equations have a wide range of applications in science and engineering. This paper considers numerical solutions for hybrid fuzzy differential equations. The improved predictor-corrector method is adapted and modified for solving the hybrid fuzzy differential equations. The proposed algorithm is illustrated by numerical examples and the results obtained using the scheme presented here agree well with the analytical solutions. The computer symbolic systems such as Maple and Mathematica allow us to perform complicated calculations of algorithm.

MSC:

 65L05 Numerical methods for initial value problems involving ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems 34A07 Fuzzy ordinary differential equations 68W30 Symbolic computation and algebraic computation 65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations

Software:

Maple; Mathematica
Full Text:

References:

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