Document Type : Original Article
Banha Higher Institute of technology.
Egyptian Armed Forces.
Various previous works for Restrictive Approximations are applied for Integrations
and Initial Boundary Value Problems (IBVP) for Partial Differential Equations (PDE). We try
here for Initial Value Problem (IVP) for Ordinary Differential Equations (ODE). We show that
its restrictive approach is of zero truncation error for problems of solutions belongs to semigroup
of linear operator. Enclosed trials for solving some IVP for ODE by single and
multistep methods with different types of stability conditions. Acceptable numerical results are