تفاصيل الرسالة العلمية

In this thesis, an efficient numerical method, called the reproducing kernel Hilbert space (RKHS) method, is employed for finding the approximate solution of a class of boundary value problems (BVPs) associated with obstacle, unilateral, and contact problems. The analytical solution has been presented in the form of convergent series with accurately computable structures in certain reproducing kernel space. The n-term approximation is obtained and proved to converge uniformly to the analytical solution. The main advantages of the RKHSM are that it can be directly applied without requiring linearization or perturbation, and therefore, it is not affected by errors associated with discretization. Some numerical examples are given to demonstrate the computation accurately, effectiveness and ability of the proposed approach