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author Fouzia, BIREM |
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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 includedLien vers la ressource électronique : https://syngeb.centre-univ-mila.dz/fr/opac/result_details/948707 A Collocation Method for Solving Multi-Dimensional Integral Equations. : Submitted for the degree of Doctorate LMD [electronic document] / Fouzia, BIREM, Author ; MohammedSalah(Chairman),Hafida LAIB(Supervisor),Azzeddine BELLOUR(Examiner),Yacine HALIM(Examiner),Samira BOUKAF(Examiner),Yassamine CHELLOUF(Examiner), Author . - المركز الجامعي عبد الحفيظ بوالصوف -ميلة, 2025 . - 123p. + قرص مضغوط.
ISSN : 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 includedLien vers la ressource électronique : https://syngeb.centre-univ-mila.dz/fr/opac/result_details/948707 Exemplaires(1)
Barcode Call number Media type Location Section Statut dmath1/48 D.N510/07 Thesis and Dissertation Central Library Dissertations and Theses Room Exclu du prêt
