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A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations
Applied and Computational Mathematics
Volume 4, Issue 2, April 2015, Pages: 64-68
Received: Feb. 26, 2015; Accepted: Mar. 16, 2015; Published: Mar. 21, 2015
Author
Gentian Zavalani, Faculty of Mathematics and Physics Engineering Polytechnic University of Tirana, Albania
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Abstract
In this paper, we present a new method for solving two-point boundary value problem for certain ordinary differential equation. The two point boundary value problems have great importance in chemical engineering, deflection of beams etc. In this study, Galerkin finite element method is developed for inhomogeneous second-order ordinary differential equations. Several examples are solved to demonstrate the application of the finite element method. It is shown that the finite element method is simple, accurate and well behaved in the presence of singularities.
Keywords
Exact Solution, Two-Point Value Boundary Problem, Finite Element Method
Gentian Zavalani, A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations, Applied and Computational Mathematics. Vol. 4, No. 2, 2015, pp. 64-68. doi: 10.11648/j.acm.20150402.15
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