Solving The 2D Biharmonic Equation: A Numerical Approach Based On Spline Collocation

الموضوعات

علوم بحتة وطبيعية

الملخص

In this thesis, several numerical methods, that are based on spline basis functions, are suggested for the solution of a general class of fourth order boundary value problems. In particular, The two-dimensional biharmonic equation complemented with Dirichlet boundary conditions is considered. The methods include the bivariate spline collocation using B-splines of degree 5 and 7. Moreover, a combination of finite difference and spline collocation is suggested. Numerical experiments are included to demonstrate the applicability and accuracy of the proposed schemes and to compare them with other techniques that are available in the literature. The numerical results include a special case of the problem which models the two-dimensional steady state incompressible Navier-Stokes equations in streamfunction formulation.

روابط وملفات

التعريف والنوع

رقم الوثيقة

00dc5a75-7ce5-490b-8589-e273fc7cf4fc

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

45732_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":" Suheil A. Khoury","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Heba Qasim Alkafri","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

Solving The 2D Biharmonic Equation: A Numerical Approach Based On Spline Collocation

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

Suheil A. Khoury

الإعداد

Heba Qasim Alkafri

الاقتباسات الببليوغرافية