Rashidinia, J., Kalvand, D., Tepoyan, L. (2013). Approximate solution of fourth order differential equation in Neumann problem. Journal of Linear and Topological Algebra (JLTA), 02(04), 243-254.

J. Rashidinia; D. Kalvand; L. Tepoyan. "Approximate solution of fourth order differential equation in Neumann problem". Journal of Linear and Topological Algebra (JLTA), 02, 04, 2013, 243-254.

Rashidinia, J., Kalvand, D., Tepoyan, L. (2013). 'Approximate solution of fourth order differential equation in Neumann problem', Journal of Linear and Topological Algebra (JLTA), 02(04), pp. 243-254.

Rashidinia, J., Kalvand, D., Tepoyan, L. Approximate solution of fourth order differential equation in Neumann problem. Journal of Linear and Topological Algebra (JLTA), 2013; 02(04): 243-254.

Approximate solution of fourth order differential equation in Neumann problem

^{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 differential equation in space $W^2_\alpha(0,b)$ 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 $\alpha$. Error analysis of the spline method is given and it has been tested by an example.

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