static void RungeStepTable(double a, double b, double y0, List <double> epsList, int r)
{
Console.WriteLine($"\n\t\t\t Finding step with Runge Principle\n");
Console.WriteLine(" | Expected error, ε | Step value | Avg error with Runge-Kutta, Δ |");
foreach (double eps in epsList)
{
double stepByRunge = CauchyProblem.RungePrinciple(a, b, y0, eps, r);
double error = AvgError(CauchyProblem.RungeKuttaMethod(a, b, stepByRunge, y0));
Console.WriteLine($" | {eps,-20} | {stepByRunge,-20} | {error,-27} |");
}
Console.WriteLine(" |______________________|______________________|________________________________|");
}
static void AdamsTable(double a, double b, double h, double y0, double eps, double divider)
{
Console.WriteLine($"\n\t Multistep Adams method, ε = {eps}\n");
Console.WriteLine(" | Average error, Δ | Step value |");
var points = CauchyProblem.AdamsMethod(a, b, h, y0);
double error = AvgError(points);
Console.WriteLine($" | {error,-20} | {h,-20} |");
while (error > eps)
{
points = CauchyProblem.AdamsMethod(a, b, h /= divider, y0);
error = AvgError(points);
Console.WriteLine($" | {error,-20} | {h,-20} |");
}
Console.WriteLine(" |______________________|______________________|");
}
static double RungeKuttaTable(double a, double b, double h, double y0, double eps, double divider)
{
Console.WriteLine($"\n\t Runge-Kutta method, ε = {eps}\n");
Console.WriteLine(" | Average error, Δ | Step value |");
var points = CauchyProblem.RungeKuttaMethod(a, b, h, y0);
double error = AvgError(points);
Console.WriteLine($" | {error,-20} | {h,-20} |");
while (error > eps)
{
points = CauchyProblem.RungeKuttaMethod(a, b, h /= divider, y0);
error = AvgError(points);
Console.WriteLine($" | {error,-20} | {h,-20} |");
}
Console.WriteLine(" |______________________|______________________|");
return(error);
}
static void WriteCSV(double a, double b, double y0, double h)
{
var points = CauchyProblem.RungeKuttaMethod(a, b, h, y0);
using (var sw = new StreamWriter("RungeKuttaPoints.csv"))
{
foreach (Point p in points)
{
sw.WriteLine($"{p.X};{p.Y}");
}
}
points = CauchyProblem.AdamsMethod(a, b, h, y0);
using (var sw = new StreamWriter("AdamsPoints.csv"))
{
foreach (Point p in points)
{
sw.WriteLine($"{p.X};{p.Y}");
}
}
}