TY - JOUR ID - 29912 TI - RESTRICTIVE APPROXIMATIONS FOR INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS JO - The International Conference on Mathematics and Engineering Physics JA - ICMEP LA - en SN - 2636-431X AU - Ismael, Hassan N. A. AU - Abdelhameed, Gamal M. AU - Ibrahim, Hazem E. AD - Banha Higher Institute of technology. AD - Egyptian Armed Forces. Y1 - 2006 PY - 2006 VL - 3 IS - International Conference on Engineering Mathematics and Physics (ICMEP-3) SP - 1 EP - 14 KW - Restrictive approximations KW - Numerical methods for O.D.E KW - A–Stability KW - Semi – group of linear operator DO - 10.21608/icmep.2006.29912 N2 - Abstract:Various previous works for Restrictive Approximations are applied for Integrationsand Initial Boundary Value Problems (IBVP) for Partial Differential Equations (PDE). We tryhere for Initial Value Problem (IVP) for Ordinary Differential Equations (ODE). We show thatits restrictive approach is of zero truncation error for problems of solutions belongs to semigroupof linear operator. Enclosed trials for solving some IVP for ODE by single andmultistep methods with different types of stability conditions. Acceptable numerical results aregiven. UR - https://icmep.journals.ekb.eg/article_29912.html L1 - https://icmep.journals.ekb.eg/article_29912_86f2376d1df035c88035d0f1ef0ba631.pdf ER -