protected override void solve()
{
result = new double[n + 1, m + 1];
for (int i = 0; i <= n; i++)
{
result[i, 0] = task.InitialCondition(Xgrid.points[i]);
}
for (int j = 0; j <= m; j++)
{
result[0, j] = task.BoundaryConditionLeft(Tgrid.points[j]);
result[n, j] = task.BoundaryConditionRight(Tgrid.points[j]);
}
f = new double[n + 1, m + 1];
for (int i = 0; i <= n; i++)
{
for (int j = 0; j <= m; j++)
{
f[i, j] = task.f(Xgrid.points[i], Tgrid.points[j]);
}
}
var A = new double[n + 1];
var B = new double[n + 1];
var C = new double[n + 1];
var F = new double[n + 1];
var tmpRes = new double[n + 1];
for (int i = 1; i < n; i++)
{
A[i] = -1 / (Xgrid.h * Xgrid.h);
C[i] = 1 / Tgrid.h + 2 / (Xgrid.h * Xgrid.h);
B[i] = -1 / (Xgrid.h * Xgrid.h);
}
A[0] = 0;
C[0] = 1;
B[0] = 0;
A[n] = 0;
C[n] = 1;
B[n] = 0;
for (int j = 1; j <= m; j++)
{
for (int i = 1; i < n; i++)
{
F[i] = result[i, j - 1] / Tgrid.h + f[i, j];
}
F[0] = task.BoundaryConditionLeft(Tgrid.points[j]);
F[n] = task.BoundaryConditionRight(Tgrid.points[j]);
TridiagonalMatrixAlgorithm.Solve(A, C, B, F, ref tmpRes, n + 1);
for (int i = 0; i <= n; i++)
{
result[i, j] = tmpRes[i];
}
}
}
private void interpolate()
{
double h = grid.h;
for (int i = 0; i <= n; i++)
{
splines[i].a = funcValues[i];
splines[i].x = grid.points[i];
}
double[] A = new double[n + 1];
double[] C = new double[n + 1];
double[] B = new double[n + 1];
double[] X = new double[n + 1];
double[] F = new double[n + 1];
A[0] = 0;
C[0] = 1;
B[0] = 0;
A[n] = 0;
C[n] = 1;
B[n] = 0;
F[0] = 0;
F[n] = 0;
if (cond == 1)
{
F[0] = f.secondDerivative(grid.points[0]);
F[n] = f.secondDerivative(grid.points[n]);
}
for (int i = 1; i < n; i++)
{
A[i] = h;
C[i] = 4 * h;
B[i] = h;
F[i] = 6 * (funcValues[i + 1] - 2 * funcValues[i] + funcValues[i - 1]) / h;
}
TridiagonalMatrixAlgorithm.Solve(A, C, B, F, ref X, n + 1);
for (int i = 1; i <= n; i++)
{
splines[i].c = X[i];
splines[i].d = (X[i] - X[i - 1]) / h;
splines[i].b = (funcValues[i] - funcValues[i - 1]) / h + h * (2 * X[i] + X[i - 1]) / 6;
}
/*splines[0].d = (splines[0].c - X[0]) / h;
* splines[0].b = (funcValues[1] - funcValues[0]) / h + h * (2 * splines[0].c + X[0]) / 6;
* for (int i = 1; i < n; i++)
* {
* splines[i].d = (splines[i].c - splines[i - 1].c) / h;
* splines[i].b = (funcValues[i+1] - funcValues[i]) / h + h * (2 * splines[i].c + splines[i-1].c) / 6;
* }*/
}
