In this paper we have introduced Numerical techniques to solve a two dimensional Poisson equation together with Dirichlet boundary conditions. Specifically two methods are used for the purpose of numerical solution, viz. Finite difference method and Finite element method. The implementation of the solutions is done using Microsoft Office Excel worksheet or spreadsheet. The numerical solutions obtained by these two methods are also compared with each other graphically in two and three dimension.
| Published in | American Journal of Applied Mathematics (Volume 3, Issue 6) |
| DOI | 10.11648/j.ajam.20150306.19 |
| Page(s) | 297-304 |
| 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 |
Dirichlet Boundary Conditions, Finite Difference Method, Finite Element Method, Poisson Equation, Spreadsheet
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APA Style
Benyam Mebrate, Purnachandra Rao Koya. (2015). Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions. American Journal of Applied Mathematics, 3(6), 297-304. https://doi.org/10.11648/j.ajam.20150306.19
ACS Style
Benyam Mebrate; Purnachandra Rao Koya. Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions. Am. J. Appl. Math. 2015, 3(6), 297-304. doi: 10.11648/j.ajam.20150306.19
AMA Style
Benyam Mebrate, Purnachandra Rao Koya. Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions. Am J Appl Math. 2015;3(6):297-304. doi: 10.11648/j.ajam.20150306.19
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Download@article{10.11648/j.ajam.20150306.19,
author = {Benyam Mebrate and Purnachandra Rao Koya},
title = {Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {6},
pages = {297-304},
doi = {10.11648/j.ajam.20150306.19},
url = {https://doi.org/10.11648/j.ajam.20150306.19},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150306.19},
abstract = {In this paper we have introduced Numerical techniques to solve a two dimensional Poisson equation together with Dirichlet boundary conditions. Specifically two methods are used for the purpose of numerical solution, viz. Finite difference method and Finite element method. The implementation of the solutions is done using Microsoft Office Excel worksheet or spreadsheet. The numerical solutions obtained by these two methods are also compared with each other graphically in two and three dimension.},
year = {2015}
}
TY - JOUR T1 - Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions AU - Benyam Mebrate AU - Purnachandra Rao Koya Y1 - 2015/12/14 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.20150306.19 DO - 10.11648/j.ajam.20150306.19 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 297 EP - 304 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20150306.19 AB - In this paper we have introduced Numerical techniques to solve a two dimensional Poisson equation together with Dirichlet boundary conditions. Specifically two methods are used for the purpose of numerical solution, viz. Finite difference method and Finite element method. The implementation of the solutions is done using Microsoft Office Excel worksheet or spreadsheet. The numerical solutions obtained by these two methods are also compared with each other graphically in two and three dimension. VL - 3 IS - 6 ER -
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