Dr. Zaki Ahmed Zaki Ahmed Atwa :: Publications:

Second and fourth order convergent methods based on Quartic nonpolynomial spline function are presented for the numerical solution of a third order two-point boundary value problem. The proposed approach gives better approximations than existing polynomial spline and finite difference methods and has a lower computational cost. Convergence analysis of the proposed method is discussed; two numerical examples are included to illustrate the efficiency of the method.