ΜΕΘΟΔΟΙ ΠΑΡΕΜΒΟΛΗΣ ΜΕ Ο(Η6) ΣΥΓΚΛΙΣΗ ΓΙΑ ΕΛΛΕΙΠΤΙΚΕΣ ΕΞΙΣΩΣΕΙΣ 2ΗΣ ΚΑΙ 4ΗΣ ΤΑΞΗΣ

IN THIS THESIS WE DEVELOP AND ANALYZE OPTIMAL COLLOCATION METHODS FOR SECOND AND FOURTH ORDER TWO-POINT BOUNDARY VALUE PROBLEMS (LINEAR AND NON LINEAR). THESEDIFFERENTIAL EQUATIONS ARE CONSIDERED TO BE DEFINED IN SPACES R AND R2 AND THEIR SOLUTION SATISFIES SOME BOUNDARY CONDITIONS. THE APPROXIMATION SOLUTIONS AREPIECEWISE POLYNOMIALS OF DEGREE 5, IN THE SPACE C4. WE MAKE A THEORETICAL STUDYING OF THESE METHODS AND WE PROVE THEIR OPTIMAL CONVERGENCE. WE ALSO PRESENT THE COMPUTATIONAL BEHAVIOUR OF THE OPTIMAL QUINTIC SPLINE COLLOCATION METHOD.

Grantor dc:publisher

Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

Year dc:date

1987

Authors dc:creator

• Ηροδότου-Έλληνα, Μαρίνα
• Irodotou-Ellina, Marina

• Collocation
• Differential equations
• Interpolation
• QUINTIC SPLINES
• Διαφορικές εξισώσεις
• Παρεμβολή
• Φυσικές Επιστήμες
• Natural Sciences
• Μαθηματικά
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/0600

OAI identifier oai:identifier

oai:10442/0600