Exact solution to Poisson equation in 2D

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SUMMARY

The discussion focuses on solving the Poisson equation in 2D for heat transfer, specifically under Dirichlet and Neumann boundary conditions. Participants emphasize the necessity of defining the domain to achieve a unique solution. Additionally, it is noted that proper forum etiquette requires posting in the homework section with attempts included for effective assistance.

PREREQUISITES
  • Understanding of the Poisson equation and its applications in heat transfer.
  • Familiarity with Dirichlet and Neumann boundary conditions.
  • Knowledge of 2D domain specifications in mathematical modeling.
  • Experience with forum etiquette for academic discussions.
NEXT STEPS
  • Research methods for defining domains in partial differential equations.
  • Explore analytical techniques for solving the Poisson equation in 2D.
  • Study the implications of Dirichlet and Neumann conditions on solution uniqueness.
  • Review best practices for posting in academic forums, particularly for homework help.
USEFUL FOR

Students, mathematicians, and engineers involved in heat transfer analysis, particularly those seeking to solve the Poisson equation analytically.

hikari1987
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Hi all ,

Could you please help me solve Poisson equation in 2D for heat transfer with Dirichlet and Neumann conditions analytically?
Thank you
 
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1. In order to do that you must specify the domain on which you want to do it. You cannot just say "Poisson equation" and have a unique solution.

2. This would be a thread for the homework forums, where you should post using the homework template and include your own attempts at finding a solution.
 

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