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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Yousra, Djafer | - |
| dc.date.accessioned | 2024-10-06T08:49:21Z | - |
| dc.date.available | 2024-10-06T08:49:21Z | - |
| dc.date.issued | 2024-06 | - |
| dc.identifier.citation | Applied Mathematics | en_US |
| dc.identifier.uri | http://dspace.centre-univ-mila.dz/jspui/handle/123456789/3834 | - |
| dc.description | Dans ce mémoire, nous avons présenté quelques concepts de base, definitions et théor èmes nécessaires pour les equations integrales et integro-differentielles ainsi que leur classification . Ensuite,une résoudre umeriquement de quelques types déquations integrales de Volterra non lineaire au noyau faiblement singulier en utilisant une méthode de collocation iterative basée sur lútilisation de polynômes de Lagrange. | en_US |
| dc.description.abstract | In this dissertation , we presented some basic concepts, definitions, and necessary theorems for integral and integro-differential equations and their Classified has been presented.Then,we have used an iterative ollocation method based on the Lagrange polynomials for solving a class of nonlinear weakly singular Volterra integral equations in the spline spaceS−1 m−1(I,ΠN). The main advantages of this method that, is easy to implement, has high order of convergence and the coefficients of approximate solution are determined by using iterative formulas without solving any system of algebraic equations. The numerical examples confirm that the method is convergent with a good accuracy. | en_US |
| dc.description.sponsorship | هذه المذكرة قدمنا بعض المفاهيم الأساسية, التعريفات وبعض النظريات الضرورية للمعادلات التكاملية والتفاضلية- التكاملية و أصنافها. ثم قمنا بدراسة طريقة لحل فئة من المعادلات التكاملية لفولتيرا ذات النواة الشاذة. حيث يتم ايجاد الحل التقريبي لمعادلات فولتيرا التكاملية باستخدام طريقة التجميع التكرارية, بالاعتماد على كثيرات حدود لاغرانج . تقديم أمثلة عددية لتأكي يتمثل الهدف في التقديرات النظرية وتوضيح تقارب الطريقة. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | university center of abdalhafid boussouf - MILA | en_US |
| dc.subject | Volterra integral equations, Collocation method, Iterative Method, Lagrange polynomials. | en_US |
| dc.subject | Equations integrales de Volterra, Méthode de collocation, Polynomes de Lagrange. | en_US |
| dc.title | Iterative Collocation Method for Solving a class of Weakly Singular Volterra Integral Equations. | en_US |
| dc.type | Thesis | en_US |
| Appears in Collections: | Mathematics | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Iterative Collocation Method for Solving a class of Weakly Singular Volterra Integral Equations.pdf | 2,07 MB | Adobe PDF | View/Open |
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