ITERATIVE REPRODUCING KERNEL METHOD FOR A BEAM EQUATION WITH THIRD-ORDER NONLINEAR BOUNDARY CONDITIONS

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GENG FAZHAN

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-4

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Title

ITERATIVE REPRODUCING KERNEL METHOD FOR A BEAM EQUATION WITH THIRD-ORDER NONLINEAR BOUNDARY CONDITIONS

Author(s)

GENG FAZHAN | Issue Writer Certificate

Keywords

ITERATIVE REPRODUCING KERNEL METHOD

BEAM EQUATION

FOURTH-ORDER BOUNDARY VALUE PROBLEM

NONLINEAR BOUNDARY CONDITIONS

Abstract

Purpose: This paper investigates an analytical approximate solution of a fourth-order differential equation with NONLINEAR BOUNDARY CONDITIONS modeling beams on elastic foundations using ITERATIVE REPRODUCING KERNEL METHOD.Methods: The solution obtained using the method takes the form of a convergent series with easily computable components. However, the reproducing kernel method can not be used directly to solve the problems since there is no method of obtaining a reproducing kernel satisfying NONLINEAR BOUNDARY CONDITIONS. The aim of this paper is to fill this gap.Results: Several illustrative examples are given to demonstrate the effectiveness of the present method.Conclusions: Results obtained using the scheme presented here show that the numerical scheme is very effective and convenient for the BEAM EQUATION with third-order NONLINEAR BOUNDARY CONDITIONS.

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APA: Copy

GENG, FAZHAN. (2012). ITERATIVE REPRODUCING KERNEL METHOD FOR A BEAM EQUATION WITH THIRD-ORDER NONLINEAR BOUNDARY CONDITIONS. MATHEMATICAL SCIENCES, 6(-), 1-4. SID. https://sid.ir/paper/322573/en

Vancouver: Copy

GENG FAZHAN. ITERATIVE REPRODUCING KERNEL METHOD FOR A BEAM EQUATION WITH THIRD-ORDER NONLINEAR BOUNDARY CONDITIONS. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-4. Available from: https://sid.ir/paper/322573/en

IEEE: Copy

FAZHAN GENG, “ITERATIVE REPRODUCING KERNEL METHOD FOR A BEAM EQUATION WITH THIRD-ORDER NONLINEAR BOUNDARY CONDITIONS,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–4, 2012, [Online]. Available: https://sid.ir/paper/322573/en

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