MODÉLISATION ET RÉSOLUTION NUMÉRIQUE DE L'ÉQUATION DE POISSON EN 2D PAR LA MÉTHODE DE DIFFÉRENCE FINI CAS DE L'ÉQUATION DU TRANSFERT DE LA CHALEUR

The objective of this work is to solve the Poisson equation by the finite difference method is therefore to provide an approximate solution of the actual behavior of a physical phenomenon. Such as the equation of heat transfer. We will take as a model of square/rectangular plate, with different boundary conditions and we will specify also the values boundaries (the Dirichlet condition). The analysis is based on the simulation results based on certain criteria and choice of parameters that comes into play in the equation, this will give us a good understanding of the manipulation of these parameters and thus understand what is happening on environment studied

• Poisson equation
• heat transfer equation
• finite difference method
• numerical solution
• Dirichlet boundary conditions
• rectangular plates
• two-dimensional heat conduction
• boundary conditions

• Heat Transfer and Numerical Methods
• Differential Equations and Numerical Methods
• Advanced Numerical Methods in Computational Mathematics
• Poisson equation
• heat transfer equation
• finite difference method
• numerical solution
• Dirichlet boundary conditions
• rectangular plates
• two-dimensional heat conduction
• boundary conditions
• Computational Mechanics
• Numerical Analysis
• Engineering
• Mathematics