| title : |
A Collocation Method for Solving Multi-Dimensional Integral Equations. : Submitted for the degree of Doctorate LMD |
| Type de document : |
electronic document |
| Auteur : |
Fouzia, BIREM, Author ; MohammedSalah(Chairman),Hafida LAIB(Supervisor),Azzeddine BELLOUR(Examiner),Yacine HALIM(Examiner),Samira BOUKAF(Examiner),Yassamine CHELLOUF(Examiner), Author |
| Editeur : |
المركز الجامعي عبد الحفيظ بوالصوف -ميلة |
| Date de publication : |
2025 |
| Nombre de pages : |
123p. |
| Matériel d'accompagnement : |
قرص مضغوط |
| ISBN (ou autre code) : |
D.N51007 |
| Langue : |
English (eng) Langue originale : English (eng) |
| Mots clé : |
Two-dimensional Volterra integral equations of the first and second kind, Three-dimensional Volterra integral equations, Collocation method, Taylor polynomials,Error analysis |
| Résumé : |
The primary objective of this thesis is to present a straightforward, efficient,and easily applicable numerical approach for obtaining approximate solutions to the Goursat problem in hyperbolic partial differential equations with variable coefficients,as well as for solving two-dimensional Volterra integral equations of the first kind and three-dimensional Volterra integral equations. The study develops algorithms utilizing Taylor polynomials to numerically solve these types of equations. Additionally, a comprehensive error analysis is provided. To demonstrate the accuracy and effectiveness
of the proposed convergent algorithms, numerical examples are included |
| Lien vers la ressource électronique : |
https://syngeb.centre-univ-mila.dz/fr/opac/result_details/948707 |
|  |
A Collocation Method for Solving Multi-Dimensional Integral Equations.
