^{1}School of Mathematics, Iran University of Science and Technology, Tehran, Iran.

^{2}Faculty of Mathematics, Yerevan state University , Yerevan, Armenia.

Abstract

Generalized solution on Neumann problem of the fourth order ordinary dierential
equation in space W2
(0; b) has been discussed , we obtain the condition on B.V.P when the
solution is in classical form. Formulation of Quintic Spline Function has been derived and the
consistency relations are given.Numerical method,based on Quintic spline approximation has
been developed. Spline solution of the given problem has been considered for a certain value
of : Error analysis of the spline method is given and it has been tested by an example.

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