Central Library . Abdel Hafid Boussouf University of Mila .

Solving a class of multidimensional Volterra integral and integro-differential equations / SAIDANE Sara  

Public ISBD title : Solving a class of multidimensional Volterra integral and integro-differential equations Type de document : electronic document Auteur : SAIDANE Sara, Author ; HALIM Yacine (Chairman), LAIB Hafida (Supervisor), CHELLOUF Yassamine (supervisor) BELHANNACHE Farida (Examiner), ROUIBAH Khaoula (Examiner), BOUOUDEN Rabah (Examiner), KAOUACHE Smail (Examiner), Author Editeur : جامعة عبد الحفيظ بوالصوف ميلة Date de publication : 2026 Nombre de pages : 100p. Dimensions : PDF Matériel d'accompagnement : قرص مضغوط ISBN (ou autre code) : D.N51022 Langue : English (eng) Langue originale : English (eng) Mots clé : DelayaVolterra integralaequations, two-dimensional delayaVolterra integro-differential equations, collocation method, Taylor polynomials, error analysis Résumé : This thesis studies a numerical approach for solving linear two-dimensional delay partialaVolterra integro-differential equations. A collocation method based on Taylor polynomials is developed to approximate the solution on a spatial domain defined piecewise. The proposed scheme computes the approximation coefficients iteratively without the need to solve large systems of algebraic equations. A theoretical analysis establishes the global convergence of the method under appropriate smoothness assumptions. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method. Lien vers la ressource électronique : https://syngeb.univ-mila.dz/fr/opac/result_details/950168 Solving a class of multidimensional Volterra integral and integro-differential equations [electronic document] / SAIDANE Sara, Author ; HALIM Yacine (Chairman), LAIB Hafida (Supervisor), CHELLOUF Yassamine (supervisor) BELHANNACHE Farida (Examiner), ROUIBAH Khaoula (Examiner), BOUOUDEN Rabah (Examiner), KAOUACHE Smail (Examiner), Author . - جامعة عبد الحفيظ بوالصوف ميلة, 2026 . - 100p. ; PDF + قرص مضغوط. ISSN : D.N51022 Langue : English (eng) Langue originale : English (eng) Mots clé : DelayaVolterra integralaequations, two-dimensional delayaVolterra integro-differential equations, collocation method, Taylor polynomials, error analysis Résumé : This thesis studies a numerical approach for solving linear two-dimensional delay partialaVolterra integro-differential equations. A collocation method based on Taylor polynomials is developed to approximate the solution on a spatial domain defined piecewise. The proposed scheme computes the approximation coefficients iteratively without the need to solve large systems of algebraic equations. A theoretical analysis establishes the global convergence of the method under appropriate smoothness assumptions. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method. Lien vers la ressource électronique : https://syngeb.univ-mila.dz/fr/opac/result_details/950168

Exemplaires(1)

Barcode	Call number	Media type	Location	Section	Statut
d mth1/239	D.N510/22	Thesis and Dissertation	Central Library	Dissertations and Theses Room	Exclu du prêt

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