Αριθμητική επίλυση συνήθων διαφορικών εξισώσεων με περιοδική λύση

The subject of this dissertation is the study of the numerical solution of the second order initial-value problem, the solution of which presents a periodical behaviour. Numerical methods for the numerical solution of the above general problem are being expounded. At first, a sixth order exponentially fitting method, which requires the a priori knowledge of the frequency of the problem, is being expounded. In the same category a four-step exponentially fitting method is being expounded. Afterwards, explicit and implicit methods with phase-lag of order six and eight, a part of which are P-stable while the rest have a larger interval of periodicity than the corresponding classical ones, are being expounded. These methods do not require the a priori knowledge of the frequency of the problem. In the same category an eight order hybrid method with phase-lag of order eight and with a large interval of periodicity is being expounded.

Grantor dc:publisher

National Technical University of Athens (NTUA)

Year dc:date

1990

Authors dc:creator

• Simos, Theodore
• Σίμος, Θεόδωρος

• Άμεση μέθοδος
• Αριθμητική επίλυση διαφορικών εξισώσεων
• Δευτέρας τάξεως πρόβλημα αρχικών τιμών
• Διαφορά φάσης
• Εκθετικές μέθοδοι
• Έμμεση μέθοδος
• Ιδιοτιμή
• Περιοδική ευστάθεια
• Περιοδική λύση
• Υστέρηση φάσης
• Ergenvalue
• Explicit methods
• Exponential-fitting-methods
• Implicit methods
• Periodical solutions
• Periodical stability
• Phase-lag
• Second order initial-value problem
• Φυσικές Επιστήμες
• Μαθηματικά
• Natural Sciences
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/1504

OAI identifier oai:identifier

oai:10442/1504