public TaskSolution Solve(DiffMethod method, double a, double b, int n)
{
TablesManager manager = new TablesManager();
t0Table = manager.T0Table;
mTable = manager.MTable;
nTable = manager.NTable;
sigmaTable = manager.SigmaTable;
DiffEquationSys deSys = null;
switch (method)
{
case DiffMethod.RungeKutta:
deSys = new RungeKuttaDiffEquationSys(new DiffEquationSys.SeveralArgFun[]
{
(x, y) => ((y[1] - (Rk + Rp(y[0])) * y[0]) / Lk),
(x, y) => (-y[0] / Ck)
});
break;
case DiffMethod.ImplTrap:
deSys = new ImplTrapDiffEquationSys(new DiffEquationSys.SeveralArgFun[]
{
(x, y) => ((y[1] - (Rk + Rp(y[0])) * y[0]) / Lk),
(x, y) => (-y[0] / Ck)
});
break;
}
DiffEquationSolution[] sysSolution = deSys.FindSolution(a, b, new double[] { I0, Uc0 }, n);
DiffEquationSolution rpSolution = new DiffEquationSolution(a, b, n);
for (int i = 0; i <= n; i++)
{
rpSolution.Y[i] = Rp(sysSolution[0].Y[i]);
}
DiffEquationSolution ucpSolution = new DiffEquationSolution(a, b, n);
for (int i = 0; i <= n; i++)
{
ucpSolution.Y[i] = rpSolution.Y[i] * sysSolution[0].Y[i];
}
TaskSolution taskSolution;
taskSolution.I = sysSolution[0];
taskSolution.Uc = sysSolution[1];
taskSolution.Rp = rpSolution;
taskSolution.Ucp = ucpSolution;
return(taskSolution);
}
public override DiffEquationSolution[] FindSolution(double a, double b, double[] y0, int n)
{
DiffEquationSolution[] solutions = new DiffEquationSolution[f.Length];
for (int i = 0; i < f.Length; i++)
{
solutions[i] = new DiffEquationSolution(a, b, n);
solutions[i].Y[0] = y0[i];
}
double x = a;
double h = (b - a) / n;
for (int i = 1; i <= n; i++, x += h)
{
double[,] k = new double[4, f.Length];
// Вычисление K0.
double[] y = new double[f.Length];
for (int j = 0; j < f.Length; j++)
{
y[j] = solutions[j].Y[i - 1];
}
for (int j = 0; j < f.Length; j++)
{
k[0, j] = h * f[j](x, y);
}
// Вычисление Kindex, index = 1,...,3
for (int index = 1; index <= 3; index++)
{
for (int j = 0; j < f.Length; j++)
{
y[j] = solutions[j].Y[i - 1] + 0.5 * k[index - 1, j];
}
for (int j = 0; j < f.Length; j++)
{
k[index, j] = h * f[j](x + 0.5 * h, y);
}
}
// Приращение функции.
for (int j = 0; j < f.Length; j++)
{
y[j] = 0.1667 * (k[0, j] + 2 * k[1, j] + 2 * k[2, j] + k[3, j]);
solutions[j].Y[i] = solutions[j].Y[i - 1] + y[j];
}
}
return(solutions);
}
public override DiffEquationSolution[] FindSolution(double a, double b, double[] y0, int n)
{
DiffEquationSolution[] solutions = new DiffEquationSolution[f.Length];
for (int i = 0; i < f.Length; i++)
{
solutions[i] = new DiffEquationSolution(a, b, n);
solutions[i].Y[0] = y0[i];
}
double x = a;
double h = (b - a) / n;
for (int i = 1; i <= n; i++, x += h)
{
double[] yk = new double[f.Length];
for (int j = 0; j < f.Length; j++)
{
yk[j] = solutions[j].Y[i - 1];
}
double[] yk1 = new double[f.Length];
for (int j = 0; j < f.Length; j++)
{
yk[j] = solutions[j].Y[i - 1];
}
for (int j = 0; j < f.Length; j++)
{
yk1[j] = yk[j] + 0.5 * h * (f[j](x, yk) + f[j](x + h, yk1));
}
for (int j = 0; j < f.Length; j++)
{
yk1[j] = yk[j] + 0.5 * h * (f[j](x, yk) + f[j](x + h, yk1));
}
for (int j = 0; j < f.Length; j++)
{
solutions[j].Y[i] = yk1[j];
}
}
return(solutions);
}
public void DrawGraph(DiffEquationSolution I, DiffEquationSolution Uc,
DiffEquationSolution Rp, DiffEquationSolution Ucp)
{
GraphPane pane = zedGraph.GraphPane;
pane.CurveList.Clear();
PointPairList list = new PointPairList();
for (int i = 0; i <= I.N; i++)
{
list.Add(I.X[i], I.Y[i]);
}
pane.AddCurve("I", list, Color.Blue, SymbolType.None);
list = new PointPairList();
for (int i = 0; i <= I.N; i++)
{
list.Add(Uc.X[i], Uc.Y[i]);
}
pane.AddCurve("Uc", list, Color.Red, SymbolType.None);
/*list = new PointPairList();
* for (int i = 0; i <= I.N; i++)
* {
* list.Add(Rp.X[i], Rp.Y[i]);
* }
* pane.AddCurve("Rp", list, Color.Black, SymbolType.None);*/
list = new PointPairList();
for (int i = 0; i <= I.N; i++)
{
list.Add(Ucp.X[i], Ucp.Y[i]);
}
pane.AddCurve("Ucp", list, Color.LightGreen, SymbolType.None);
zedGraph.AxisChange();
zedGraph.Invalidate();
}
