Approximate solution of fourth order differential equation in Neumann problem

Journal of Linear and Topological Algebra

مقاله 5، دوره 02، شماره 04، اسفند 2013، صفحه 243-254   

نویسندگان

J. Rashidinia^{* 1}؛ D. Kalvand²؛ L. Tepoyan²

¹School of Mathematics, Iran University of Science and Technology, Tehran, Iran

²Faculty of Mathematics, Yerevan state University , Yerevan, Armenia

چکیده

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.

کلیدواژه‌ها

Fourth order ordinary differential equation؛ Neumann problem؛ generalized solution؛ quintic spline function؛ Error analysis

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