الحلول العددية للمعادلات التكاملية - الجبرية == Numerical Solutions of Integral - Algebraic Equations
Author name:
صفاء حسن رسول
Supervisor name:
اسامة حميد محمد
General topic:
Mathematics
Specific topic:
Numerical Analysis
Degree:
Master
University:
Al-Nahrain University - College Of Science
Language:
English
University location:
Baghdad
First pages:
27T1057 - p.pdf
Abstract:
In this thesis two approximate methods are implemented in order to find the approximate solutions of the linear system of Volterra integral - algebraic equations which are so - called Hat basis functions and Sample - and - Hold functions.Both methods will transform the linear system of Volterra integral - algebraic equations to a linear lower triangular system of algebraic equations using the operational matrices of integration associated with the Hat basis functions and Sample - and - Hold functions.Convergence theorem and tested examples are given in order to check the validity and efficiency of the proposed methods
