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Finite Difference Method for Poisson Equation

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Presentation on theme: "Finite Difference Method for Poisson Equation"— Presentation transcript:

1 Finite Difference Method for Poisson Equation
central

2 Finite Difference Method for Poisson Equation

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

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

5 Finite Difference Method for Poisson Equation

6 Finite Difference Method for Poisson Equation

7 Finite Difference Method for Poisson Equation

8 Finite Difference Method for Poisson Equation

9 Finite Difference Method for Poisson Equation

10 Finite Difference Method for Poisson Equation

11 Numbering

12 Numbering

13 Solving the Linear System

14 Exact Solution Exact Solution FDM


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