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Galerkin’s finite element method for solving special fourth-order boundary-value problem.

Author(s)
S. Iqbal Department of Computer Science, COMSATS Institute of Information Technology, Sahiwal Campus, Sahiwal, Pakistan
I. Siddique Department of Mathematics, COMSATS Institute of Information Technology, Lahore campus, Lahore, Pakistan; Department of Mathematics, Faculty of Science, Jazan University, Jazan, P. O. Box 2097, Kingdom of Saudi Arabia
Abstract
In this paper, a Galerkin’s finite element approach based on weighted-residual is presented to find approximate solutions of a special fourth-order boundary-value problem. The approach utilizes a piece-wise cubic approximation utilizing cubic Hermite interpolation polynomials. This paper will present a comparison between four methods. Numerical studies have shown the superior accuracy of the Galerkin’s finite element method in comparison with the differential transform method, Adomian decomposition method and homotopy perturbation method.
Publication Details
Page(s) 333-336
DOI DOI not available
Published Journal: Science International, Volume: 24, Issue: 4, Year: 2012

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