نوع المشرف

مشرف رئيسي

تاريخ الاشراف على الرسالة من

2018

الى

2018

اسم الطالب

Sawsan Farouq Farhan

ملخص الرسالة

The reproducing kernel Hilbert space (RKHS) method is utilized in this thesis as an efficient approch to solve 4th-order singular boundary value problems (BVPs) of Fredholm-Volterra mixed type integro-differential equations. In order to obtain the required nodal values, two smooth reproducing kernel (RK) functions are used throughout the evolution of the algorithm. The solution philosophy depends on producing the orthogonal basis from the acquired kernel function in W_2^5. From that point onward, the orthonormal basis is building to formulate the numerical solutions in the W_2^5. Some numerical test issues including linear and nonlinear functions type are utilized to delineate the technique and affirm the execution of the proposed strategy.The results demonstrate that the utilized calculation is a powerful accurate methodology for illuminating such singular equations.