Dr. Zaki Ahmed Zaki Ahmed Atwa :: Publications:

Third and fourth order convergent methods based on cubic non-polynomial spline function at midknotes are presented for the numerical solution of a second order two-point boundary value problem with Neumann conditions. Using this spline function a few consistency relations are derived for computing approximations to the solution of the problem. Convergence analysis of these methods is discussed two numerical examples are given to illustrate practical usefulness of the new methods.