Numerical solution of hybrid fuzzy differential equations using improved predictor–corrector method

The hybrid fuzzy differential equations have a wide range of applications in science and engineering. This paper considers numerical solution 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.

► Numerical solution of fuzzy hybrid differential equations is considered.
► Improved predictor–corrector method is proposed to solve the equations.
► Numerical examples are presented to illustrate the proposed algorithm.
► Comparisons with exact solutions reveal that the proposed algorithm is capable of generating accurate results.