RESTRICTIVE APPROXIMATIONS FOR INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS | ||
| The International Conference on Mathematics and Engineering Physics | ||
| Article 9, Volume 3, International Conference on Engineering Mathematics and Physics (ICMEP-3), May 2006, Pages 1-14 PDF (432.45 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/icmep.2006.29912 | ||
| Authors | ||
| Hassan N. A. Ismael1; Gamal M. Abdelhameed2; Hazem E. Ibrahim2 | ||
| 1Banha Higher Institute of technology. | ||
| 2Egyptian Armed Forces. | ||
| Abstract | ||
| Abstract: 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 given. | ||
| Keywords | ||
| Restrictive approximations; Numerical methods for O.D.E; A–Stability; Semi – group of linear operator | ||
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