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Finite Element Model for Linear Second Order One Dimensional Inhomogeneous Wave Equation

Author(s)
Zain Ulabadin Zafar Faculty of Information Technology, University of Central Punjab,Lahore,Pakistan
A. Pervaiz Department of Mathematics, University of Engineering & Technology,Lahore,Pakistan
M.O. Ahmed Department of Mathematics, University of Engineering & Technology,Lahore,Pakistan
M. Rafiq Faculty of Information Technology, University of Central Punjab,Lahore,Pakistan
Abstract
In physics, propagation of sound, light and water waves is modeled by hyperbolic partial differential equations. Linear second order hyperbolic partial differential equations describe various phenomena in acoustics, electromagnetic and fluid dynamics. In this paper, a Galerkin based Finite Element Model has been developed to solve linear second order one dimensional Inhomogeneous wave equation numerically. Accuracy of the developed scheme has been analyzed by comparing the numerical solution with exact solution.
Publication Details
Page(s) 58-63
DOI DOI not available
Published Journal: Pakistan Journal of Engineering and Applied Sciences, Volume: 17, Issue: 0, Year: 2015

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Keywords
Galerkin Method, Finite Element Model, Lagrangian polynomials, Shape functions.
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