MP: errors in MP (Mathematica pseudocodes for implementing block Adams family) for time-tested problem 1 and 2.

Method Employed: method employed.

Max^--Errors: the magnitude of the maximum errors of MP.

Convergency Limits: convergency Limits of MP

BHM: errors in BHM (an optimized two-step hybrid block method for solving first-order initial-value problem in ODEs) for time-tested problem 1 and 2. See [25].

SS-S-F-F-O: errors in SS-S-F-F-O (a self-starting four-step fifth-order block integrator for stiff and oscillatory differential equations) for time tested problem 1. See [27]

BI: errors in BI (numerical solution of stiff and oscillatory differential equations using a block integrator) for time-tested problem 1. See [26].

2BBDF: errors in 2BBDF (2-point block backward differentiation formula) for time-tested problem 2. See [11].

2IBBDF: errors in 2IBBDF (2-point improved block backward differentiation formula) for time-tested problem 2. See [18].

3BEBDF: errors in 3BEBDF (3-point block extended backward differentiation formula) for time tested problem 2. See [17].