RESTRICTIVE APPROXIMATIONS FOR INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS
Ismael, H., Abdelhameed, G., Ibrahim, H. (2006). RESTRICTIVE APPROXIMATIONS FOR INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS. EKB Journal Management System, 3(International Conference on Engineering Mathematics and Physics (ICMEP-3)), 1-14. doi: 10.21608/icmep.2006.29912
Hassan N. A. Ismael; Gamal M. Abdelhameed; Hazem E. Ibrahim. "RESTRICTIVE APPROXIMATIONS FOR INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS". EKB Journal Management System, 3, International Conference on Engineering Mathematics and Physics (ICMEP-3), 2006, 1-14. doi: 10.21608/icmep.2006.29912
Ismael, H., Abdelhameed, G., Ibrahim, H. (2006). 'RESTRICTIVE APPROXIMATIONS FOR INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS', EKB Journal Management System, 3(International Conference on Engineering Mathematics and Physics (ICMEP-3)), pp. 1-14. doi: 10.21608/icmep.2006.29912
Ismael, H., Abdelhameed, G., Ibrahim, H. RESTRICTIVE APPROXIMATIONS FOR INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS. EKB Journal Management System, 2006; 3(International Conference on Engineering Mathematics and Physics (ICMEP-3)): 1-14. doi: 10.21608/icmep.2006.29912

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, Page 1-14  XML PDF (432.45 K)
Document Type: Original Article
DOI: 10.21608/icmep.2006.29912
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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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