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العنوان
NumericalSoluions of volterra integral equation of the second kind /
المؤلف
Morgan, Sahar Fawzy El-Kotb.
هيئة الاعداد
باحث / سحر فوزي القطب مرجان
مشرف / عبداللطيف الصديق حسين
مشرف / صلاح حسن الامام
مشرف / جمال محمد عطية
الموضوع
Volterra integral equation of the econd kind.
تاريخ النشر
1998.
عدد الصفحات
117 P. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الهندسة الكهربائية والالكترونية
تاريخ الإجازة
1/1/1998
مكان الإجازة
جامعة المنصورة - كلية الهندسة - Department of Mathematics
الفهرس
Only 14 pages are availabe for public view

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Abstract

This thesis is concerned with the numerical solution of integral equations of the second kind volterra from. Volterra integral equations are essentially” initial value” problems for ordinary differential equations. In reality any of such problems can be reformulated as as a volterra equations. Examples of these include problems of apreferential direction (e.g. time, energy, etc.) methods of solution of volterra integral equation can be classified into two categories ; analytical solutions and numerical solutions. Analytical solutions include methods such as differentiation, laplace transformation and resolvent kerel. But these methods solve volterra integral equations whose kernel k(x, t) is dependent solely on the difference (x-t). so complicated from of the kernel will complicate the analytical method used. In practical applications, it is almost invariably necessary to solve the integral equations numerically.