dev.nm.analysis.differentialequation.pde.finitedifference

Interface PDESolutionGrid2D

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.

Method Summary

Modifier and Type	Method and 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 \((x_{k}, y_{j})\).
double	x(int k) Gets the value on the x-axis at index k.
double	y(int j) Gets the value on the y-axis at index j.

Method Detail

u

double u(int k,
         int j)

Gets the value of the grid point at \((x_{k}, y_{j})\).

Parameters:

k - the index along the x-axis

j - the index along the y-axis

Returns:

the value at that point

x

double x(int k)

Gets the value on the x-axis at index k.

Parameters:

k - the index of the grid point

Returns:

\(x_{k}\)

y

double y(int j)

Gets the value on the y-axis at index j.

Parameters:

j - the index of the grid point

Returns:

\(y_{j}\)

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

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