Finite Difference Method for Poisson Equation

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Presentation transcript:

Finite Difference Method for Poisson Equation central

Finite Difference Method for Poisson Equation

Finite Difference Method for Poisson Equation (x, y) (x+h, y) (x-h, y) (x, y-h) (x, y+h)

Finite Difference Method for Poisson Equation 5 point-scheme 5 point stencil 4 -1 Discrete Laplace Operator

Finite Difference Method for Poisson Equation

Finite Difference Method for Poisson Equation

Finite Difference Method for Poisson Equation

Finite Difference Method for Poisson Equation

Finite Difference Method for Poisson Equation

Finite Difference Method for Poisson Equation

Numbering

Numbering

Solving the Linear System

Exact Solution Exact Solution FDM