A class of multistep methods based on a super-future points technique for solving IVPs

In this article, the details of new methods based on a super-future points technique, for improving stability regions compared with those of the extended BDF (EBDF) and modified EBDF (MEBDF), have been presented, for solving initial value problems (IVPs). Numerical results related to five test problems show that our new methods have good performance in saving CPU time compared with the corresponding MEBDF method.