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http://dspace.centre-univ-mila.dz/jspui/handle/123456789/3839Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Wafa, DAHMANI | - |
| dc.date.accessioned | 2024-10-06T09:07:45Z | - |
| dc.date.available | 2024-10-06T09:07:45Z | - |
| dc.date.issued | 2024-06 | - |
| dc.identifier.citation | Mathématiques appliquées | en_US |
| dc.identifier.uri | http://dspace.centre-univ-mila.dz/jspui/handle/123456789/3839 | - |
| dc.description | Dans ce mémoire, des équations différentielles linéaires du premier et du second ordre avec retard constant ou deux retards ont été étudiées. La méthode de collocation utilisant les séries de Taylor a été appliquée pour fournir des solutions approximatives aux équations différentielles linéaires neutres du second ordre avec retard constant ainsi qu’aux équations différentielles neutres du premier ordre avec deux retards constants. De plus, la convergence de la solution approximative vers la solution exacte a été étudiée en utilisant les inégalités de Gronwall, et il a été prouvé que la méthode possède un ordre de convergence. Enfin, des exemples numériques ont été inclus pour confirmer les résultats théoriques et la convergence de l’algorithme proposé. | en_US |
| dc.description.abstract | In this thesis, first and second-order linear differential equations with constant delay or two delays were studied. The collocation method using Taylor series was applied to provide approximate solutions for second-order neutral linear differential equations with constant delay as well as for first-order neutral differential equations with two constant delays. Additionally, the convergence of the approximate solution to the exact solution was studied using Gronwall’s inequalities, and it was proven that the method has a convergence order. Finally, numerical examples were included to confirm the theoretical results and the convergence of the proposed algorithm. | en_US |
| dc.description.sponsorship | في هذه المذكرة، تم دراسة معادلات تفاضلية خطية من الدرجة الاولى والثانية مع تاخير ثابت او تاخيرين. تم تطبيق طريقة التجميع لتايلور لإعطاء الحل التقريبي لمعادلات تفاضلية خطية حيادية من الدرجة الثانية مع تاخير ثابت وكذلك الحل التقريبي لمعادلات تفاضلية حيادية من الدرجة الاولى بتأخيرين ثابتين، كما تم دراسة تقارب الحل التقريبي للحل الدقيق باستخدام متراجحات غرونوال و إثبات أن الطريقة لها رتبة تقارب. في الأخير تم إدراج أمثلة عددية لتأكيد النتائج النظرية وتقارب الخوارزمية المقدمة. | en_US |
| dc.language.iso | fr | en_US |
| dc.publisher | university center of abdalhafid boussouf - MILA | en_US |
| dc.subject | Neutral delay linear differential equations, collocation method, Taylor polynomials. | en_US |
| dc.subject | Equations différentielles linéaires neutres à retard; Méthode de collocation; Polynômes de Taylor | en_US |
| dc.title | Neutral differential equations including double delays. | en_US |
| dc.type | Thesis | en_US |
| Appears in Collections: | Mathematics | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Neutral differential equations including double delays.pdf | 1,38 MB | Adobe PDF | View/Open |
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