Moving Boundary Value Problems

الموضوعات

علوم بحتة وطبيعية

الملخص

This thesis describes new techniques of some methods which were employed to compute approximate solutions to partial differential equations with moving boundaries. The problems concerned were the determination of the concentration of oxygen diffusion in absorbing medium or tissue in both one dimensional cartesian and axially symmetric cylindrical coordinates, and the determination of the temperature in melting ice for one dimensional problem. The diffusion problem had a singularity on the initial boundary which was treated by using an approximate analytical solution and the numerical solution found by an explicit finite difference formulation of the governing differential equation for one dimensional problem, with unequal intervals in the neighbourhood of the moving boundary. A Taylor series expansion was used to solve for the oxygen concentration and to locate the boundary. For the melting ice problem the methods studied included variable time step methods with difference formulae and different methods of calculating the variable time step.

روابط وملفات

التعريف والنوع

رقم الوثيقة

03eb0d42-371e-4bcb-90cd-50c20c61ec8c

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل دكتوراة

نوع الملف

pdf text

أسماء الملفات

324711_2.pdf, 324711_3.pdf, 324711_4.pdf, 324711_5.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":" Abdellatif Boureghda","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":" Cornel Murea","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Mohamed Achache ","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

English

المصدر والدورية

اسم المصدر

Moving Boundary Value Problems

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

Cornel Murea, Mohamed Achache

الإعداد

Abdellatif Boureghda

الاقتباسات الببليوغرافية