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

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 fo...

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Published inAIP conference proceedings Vol. 2641; no. 1
Main Authors Hanafi, Lukman, Mardlijah, Utomo, Daryono Budi
Format Journal Article Conference Proceeding
LanguageEnglish
Published Melville American Institute of Physics 19.12.2022
Subjects
Approximation
Basis functions
Boundary conditions
Conduction heating
Conductive heat transfer
Differential equations
Dirichlet problem
Mathematical analysis
Poisson equation
Ritz method
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ISSN0094-243X
1935-0465
1551-7616
1551-7616
DOI10.1063/5.0115209

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Summary: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.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1935-0465
1551-7616
1551-7616
DOI:10.1063/5.0115209