THE FOKAS METHOD FOR SOLVING LINEAR PARTIAL DIFFERENTIAL EQUATIONS

Postgraduate Thesis uoadl:2877222 620 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2019-07-01
Year:
2019
Author:
Chatziafratis Andreas
Supervisors info:
Στρατής Ιωάννης , Καθηγητής , Τμήμα Μαθηματικών , ΕΚΠΑ
Αλικάκος Νίκος , Καθηγητής , Τμήμα Μαθηματικών , ΕΚΠΑ
Μπαρμπάτης Γεράσιμος , Καθηγητής , Τμήμα Μαθηματικών , ΕΚΠΑ
Original Title:
Η ΜΕΘΟΔΟΣ ΤΟΥ ΦΩΚΑ ΓΙΑ ΤΗΝ ΕΠΙΛΥΣΗ ΓΡΑΜΜΙΚΩΝ ΜΕΡΙΚΩΝ ΔΙΑΦΟΡΙΚΩΝ ΕΞΙΣΩΣΕΩΝ
Languages:
Greek
Translated title:
THE FOKAS METHOD FOR SOLVING LINEAR PARTIAL DIFFERENTIAL EQUATIONS
Summary:
In the present master thesis we study and solve via the Fokas Method (Unified Transform) a series of initial and boundary value problems for certain linear evolution partial differential equations of various types (Dirichlet, Robin etc.) on the half-line and on the quadrant (in one and two spatial dimensions respectively). The solutions of these equations are given with explicit integral representations, using the data, and the corresponding integrals are studied in detail.
Main subject category:
Science
Keywords:
Fokas Method , Unified Transform , Global Relation , Fundamental Principle , initial and boundary value problems
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
21
Number of pages:
109
File:
File access is restricted only to the intranet of UoA.

ΧΑΤΖΗΑΦΡΑΤΗΣ ΑΝΔΡΕΑΣ (ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ) ΙΟΥΝΙΟΣ 2019.pdf
2 MB
File access is restricted only to the intranet of UoA.