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