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.
| Published in | Applied and Computational Mathematics (Volume 4, Issue 2) |
| DOI | 10.11648/j.acm.20150402.15 |
| Page(s) | 64-68 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Exact Solution, Two-Point Value Boundary Problem, Finite Element Method
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APA Style
Gentian Zavalani. (2015). A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations. Applied and Computational Mathematics, 4(2), 64-68. https://doi.org/10.11648/j.acm.20150402.15
ACS Style
Gentian Zavalani. A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations. Appl. Comput. Math. 2015, 4(2), 64-68. doi: 10.11648/j.acm.20150402.15
AMA Style
Gentian Zavalani. A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations. Appl Comput Math. 2015;4(2):64-68. doi: 10.11648/j.acm.20150402.15
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Download@article{10.11648/j.acm.20150402.15,
author = {Gentian Zavalani},
title = {A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations},
journal = {Applied and Computational Mathematics},
volume = {4},
number = {2},
pages = {64-68},
doi = {10.11648/j.acm.20150402.15},
url = {https://doi.org/10.11648/j.acm.20150402.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20150402.15},
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.},
year = {2015}
}
TY - JOUR T1 - A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations AU - Gentian Zavalani Y1 - 2015/03/21 PY - 2015 N1 - https://doi.org/10.11648/j.acm.20150402.15 DO - 10.11648/j.acm.20150402.15 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 64 EP - 68 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20150402.15 AB - 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. VL - 4 IS - 2 ER -
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