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Finite element solution for one dimensional general liner second order boundary value problem.

Author(s)
M. Rafiq Faculty of Engineering, University of Central Punjab, Lahore, Pakistan
S. Iqbal Faculty of Engineering, University of Central Punjab, Lahore, Pakistan
M. O. Ahmed Department of Mathematics, University of Engineering & Technology, Lahore, Pakistan
Abstract
Differential equations arise in all fields of Science and Technology. Most real physical processes are governed by ordinary differential equations. In particular linear second order ordinary differential equations are the model equations for conduction and convection heat transfer in plane wall or fin, flow through channels and pipes, transverse deflection of cables, axial deformation of bars and many other physical processes. J.N. Reddy derived the finite element solution for one dimensional linear second order boundary value problems using Ritz method. Gerald & Wheatly solved special case of one dimensional linear second order boundary value problems using Galerkin finite element method. In this paper Galerkin finite element method has been developed for the general case.
Publication Details
Page(s) 21-26
DOI DOI not available
Published Journal: Pakistan journal of scientific research, Volume: 60, Issue: 3--4, Year: 2008

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