Journal of Applied Mathematics

Iterative Method for Solving the Second Boundary Value Problem for Biharmonic-Type Equation

Dang Quang A. and Nguyen Van Thien

Full-text: Open access

Abstract

Solving boundary value problems (BVPs) for the fourth-order differential equations by the reduction of them to BVPs for the second-order equations with the aim to use the achievements for the latter ones attracts attention from many researchers. In this paper, using the technique developed by ourselves in recent works, we construct iterative method for the second BVP for biharmonic-type equation, which describes the deflection of a plate resting on a biparametric elastic foundation. The convergence rate of the method is established. The optimal value of the iterative parameter is found. Several numerical examples confirm the efficiency of the proposed method.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 891519, 18 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495280

Digital Object Identifier
doi:10.1155/2012/891519

Mathematical Reviews number (MathSciNet)
MR2965717

Zentralblatt MATH identifier
1251.65105

Citation

Quang A., Dang; Van Thien, Nguyen. Iterative Method for Solving the Second Boundary Value Problem for Biharmonic-Type Equation. J. Appl. Math. 2012 (2012), Article ID 891519, 18 pages. doi:10.1155/2012/891519. https://projecteuclid.org/euclid.jam/1355495280


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