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Study ritz method for Poisson equation with Dirichlet and Neumann boundary conditions.

Authors :
Hanafi, Lukman
Mardlijah
Utomo, Daryono Budi
Mufid, Muhammad Syifa'ul
Adzkiya, Dieky
Source :
AIP Conference Proceedings; 12/11/2022, Vol. 2641 Issue 1, p1-5, 5p
Publication Year :
2022

Abstract

The mathematical formulation of heat conduction problem along the rod in steady state leads to differential equation namely Poisson equation. The Dirichlet and Neumann boundary conditions are known. In this paper, we study Ritz method as construction of approximation solution based on its extreme formulation. This method applied to Poisson equation with Dirichlet and Neumann boundary conditions by choosing finite basis functions to find approximation solution. From the numerical experiment we obtain good approximation solution. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
2641
Issue :
1
Database :
Complementary Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
160869614
Full Text :
https://doi.org/10.1063/5.0115209