In this paper, an improved predictor–corrector (IPC) method is proposed to solve the ‘‘fuzzy
initial value problem”. The IPC method is generated by combining an explicit three-step
method and an implicit two-step method. The methods are compared with the methods
discussed in [T. Allahviranloo, N. Ahmady, E. Ahmady, Numerical solution of fuzzy differential
equations by predictor–corrector method, Information Sciences 177(7) (2007)
1633–1647], and are shown to be more accurate. The convergence and stability of the proposed
methods are also presented in detail. These methods are illustrated by solving some
examples.
