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الحلول العددية للمعادلات التفاضلية باستخدام طريقة التفاضلات التربيعية المعتمدة على دوال السبلاي G == Numerical Solutions of Differential Equations Via G - Spline Based Differential Quadrature Method
Author name:
مصطفى اكرم سعيد
Supervisor name:
اسامة حميد محمد | فاضل صبحي فاضل
General topic:
Mathematics
Specific topic:
Numerical Analysis
Degree:
Master
University:
Al-Nahrain University - College Of Science
Language:
English
University location:
Baghdad
First pages:
27T1089 - p.pdf
Abstract:
This thesis have two main objectives, namely : 1 - The first objective is to study the mathematical background of the differential quadrature method and its application to solve boundary value problems of the fourth order ordinary differential equations.2 - The second objective is first about function approximation by G - spline interpolation method. Secondly the numerical solution of two applications relating the vibration of a uniform beam problem which are represented by a boundary value problem of the fourth order ordinary differential equation and the vibration of a square thin plate given by a boundary value problem of the forth order partial differential equation, by using G - spline based differential quadrature method have been obtained
