An efficient computational method for 4th-order boundary value problems of fredholm IDEs

In this paper, reproducing kernel Hilbert space method is applied to approximate the solution of two-point boundary value problems for fourth-order Fredholm integro-differential equations. The analytical solution is represented in the form of series in the space W⁵ ₂ [0, 1]. The n-term approximation is obtained and proved to converge to the analytical solution. Numerical experiments are displayed to illustrate the validity, accuracy, efficiency and applicability of the proposed method. Results indicates that our technique is simple, straightforward and effective.