private double[] ComputeColumn(MathNet3 net, int i, int k)
{
var dh2 = net.D / (net.H * net.H);
var a = -dh2 / 2;
var b = 1 + dh2;
var c = a;
var aj = dh2 / 2;
var bj = 1 - dh2;
var cj = aj;
double Fj(int j)
{
return(aj * net.Get(i, j - 1, k - 1) + bj * net.Get(i, j, k - 1) + cj * net.Get(i, j + 1, k - 1) +
net.D / 2 * _function(i * net.H, j * net.H, (k - 0.5) * net.D));
}
var n = net.SizeY + 1;
var matrix = new double[n, n];
var values = new double[n];
matrix[0, 0] = 1;
values[0] = net.Get(i, 0, k);
for (var j = 1; j < n - 1; j++)
{
matrix[j - 1, j] = a;
matrix[j, j] = b;
matrix[j + 1, j] = c;
values[j] = Fj(j);
}
matrix[n - 1, n - 1] = 1;
values[n - 1] = net.Get(i, net.SizeY, k);
return(AlgoritmContext.Current.TridiagonalMatrixAlgoritm(matrix, values));
}
private double[] ComputeRow(MathNet3 net, int j, int k)
{
var dh2 = net.D / (net.H * net.H);
var a = -dh2 / 2;
var b = 1 + dh2;
var c = a;
var ai = dh2 / 2;
var bi = 1 - dh2;
var ci = ai;
double Fi(int i)
{
return(ai * net.Get(i - 1, j, k) + bi * net.Get(i, j, k) + ci * net.Get(i + 1, j, k) +
net.D / 2 * _function(i * net.H, j * net.H, (k - 0.5) * net.D));
}
var n = net.SizeX + 1;
var matrix = new double[n, n];
var values = new double[n];
matrix[0, 0] = 1;
values[0] = net.Get(0, j, k);
for (var i = 1; i < n - 1; i++)
{
matrix[i - 1, i] = a;
matrix[i, i] = b;
matrix[i + 1, i] = c;
values[i] = Fi(i);
}
matrix[n - 1, n - 1] = 1;
values[n - 1] = net.Get(net.SizeX, j, k);
return(AlgoritmContext.Current.TridiagonalMatrixAlgoritm(matrix, values));
}
public void Compute(MathNet3 net)
{
//Цикл по времени
for (var k = 1; k <= net.Height; k++)
{
//Делаем N-1 прогонку по X
for (var i = 1; i < net.SizeX; i++)
{
var column = ComputeColumn(net, i, k);
for (var j = 1; j < net.SizeY; j++)
{
net.Set(i, j, k, column[j]);
}
}
////Делаем N-1 прогонку по Y
for (var j = 1; j < net.SizeY; j++)
{
var row = ComputeRow(net, j, k);
for (var i = 1; i < net.SizeX; i++)
{
net.Set(i, j, k, row[i]);
}
}
}
}
