Interface PDESolutionGrid2D
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public interface PDESolutionGrid2D
A solution to a bivariate PDE, which is applicable to methods which produce the solution as a two-dimensional grid. The indices are within ranges 0 ≤ k ≤ (m+1) and 0 ≤ j ≤ (n+1), where the boundaries lie at 0 and (m+1) and 0 and (n+1) respectively.
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Method Summary
All Methods Instance Methods Abstract Methods Modifier and Type Method Description int
m()
Gets the number of interior x-axis grid points in the solution.int
n()
Gets the number of interior y-axis grid points in the solution.double
u(int k, int j)
Gets the value of the grid point at (xk, yj).double
x(int k)
Gets the value on the x-axis at indexk
.double
y(int j)
Gets the value on the y-axis at indexj
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Method Detail
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u
double u(int k, int j)
Gets the value of the grid point at (xk, yj).- Parameters:
k
- the index along the x-axisj
- the index along the y-axis- Returns:
- the value at that point
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x
double x(int k)
Gets the value on the x-axis at indexk
.- Parameters:
k
- the index of the grid point- Returns:
- xk
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y
double y(int j)
Gets the value on the y-axis at indexj
.- Parameters:
j
- the index of the grid point- Returns:
- yj
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m
int m()
Gets the number of interior x-axis grid points in the solution.- Returns:
- the number of solution grid points along the x-axis
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n
int n()
Gets the number of interior y-axis grid points in the solution.- Returns:
- the number of solution grid points along the y-axis
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