init

2026-01-04 15:35:46 +01:00
commit f53b8768f8
70 changed files with 51910 additions and 0 deletions
--- a/P3/main.cpp
+++ b/P3/main.cpp
@@ -0,0 +1,99 @@
+#include <math.h>
+#include "CMyVektor.h"
+#include "CMyMatrix.h"
+#include "C_DGLSolver.h"
+#include <iostream>
+using namespace std;
+
+CMyVektor DGLSystem(CMyVektor y, double x) {
+	CMyVektor result(2);
+	result.setElement(1, 2 * y.getElement(2) - x * y.getElement(1));
+	result.setElement(2, y.getElement(1) * y.getElement(2) - 2 * pow(x, 3));
+	return result;
+}
+
+double DGL_dritter_Ordnung(CMyVektor y, double x) {
+	return 2 * x * y.getElement(2) * y.getElement(3) + 2 * pow(y.getElement(1), 2) * y.getElement(2);
+}
+
+int main() {
+	int option;
+
+	cout << "Was soll berechnet werden? \n" <<
+		"1 Euler-Verfahren DGL\n" <<
+		"2 Heun-Verfahren DGL\n" <<
+		"3 Abweichungen DGL 3.O\n" <<
+		"0 Beenden\n"
+		"> ";
+	cin >> option;
+
+	while (0 < option && option < 4) {
+		switch (option) {
+		case 1: {
+			CMyVektor startwerte(vector<double>{0, 1});
+			double xStart = 0;				// x0 = 0
+			double xEnd = 2;
+			C_DGLSolver dglSystemTest(DGLSystem);
+			dglSystemTest.euler(startwerte, xStart, xEnd, 100);
+			break;
+		}
+		case 2: {
+			CMyVektor startwerte(vector<double>{0, 1});
+			double xStart = 0;				// x0 = 0
+			double xEnd = 2;
+			C_DGLSolver dglSystemTest(DGLSystem);
+			dglSystemTest.heun(startwerte, xStart, xEnd, 100);
+			break;
+		}
+		case 3: {
+			CMyVektor startwerte(3);
+			CMyVektor eulerResult(3);
+			CMyVektor heunResult(3);
+			CMyVektor allResults(8);
+			C_DGLSolver dglSystemTest(DGL_dritter_Ordnung);
+
+
+			double schritte;
+			double xStart;
+			double xEnd;
+			int j = 1;
+			for (int i = 1; i < 5; i++) {
+				schritte = pow(10, i);
+				xStart = 1;
+				xEnd = 2;
+				startwerte.setElements(vector<double>{1, -1, 2});
+				eulerResult = dglSystemTest.euler(startwerte, xStart, xEnd, schritte);
+				allResults.setElement(j, eulerResult.getElement(1) - 0.5);
+
+				startwerte.setElements(vector<double>{1, -1, 2});
+				heunResult = dglSystemTest.heun(startwerte, xStart, xEnd, schritte);
+				allResults.setElement(++j, heunResult.getElement(1) - 0.5);
+				j++;
+			}
+			cout << endl;
+			int k = 1;
+			cout << setw(10) << "Verfahren" << setw(10) << "Schritte" << setw(10) << "Δ\n";
+			for (int j = 1; j <= 4; j++) {
+				double schritte = pow(10, j);
+				// E = s+1 , H = E*2
+				cout << setw(10) << "Euler" << setw(10) << setprecision(0) << schritte << setw(10) << scientific << setprecision(1) << allResults.getElement(k) << endl;
+				cout << setw(10) << "Heun" << setw(10) << setprecision(0) << schritte << setw(10) << scientific << setprecision(1) << allResults.getElement(++k) << endl << endl;
+				
+				k++;
+			}
+			break;
+		}
+		}
+
+		cout << "\nHauptmenü: \n" <<
+			"1 Euler-Verfahren DGL\n" <<
+			"2 Heun-Verfahren DGL\n" <<
+			"3 Euler/Heun Vergleich DGL 3.O\n" <<
+			"0 Beenden\n"
+			"> ";
+		cin >> option;
+
+	};
+	cout << endl << endl;
+	system("PAUSE");
+}