#include #include #include using namespace std; // Define the function f(x) = x^3 - x - 2 double f(double x) { return x * x * x - x - 2; } void bisection(double a, double b, double tolerance) { if (f(a) * f(b) >= 0) { cout << "Incorrect initial guesses." << endl; return; } double c = a; int iteration = 0; cout << fixed << setprecision(4); cout << "Iter\t\ta\t\tb\t\tc\t\tf(c)" << endl; while ((b - a) >= tolerance) { c = (a + b) / 2; cout << iteration << "\t\t" << a << "\t" << b << "\t" << c << "\t" << f(c) << endl; if (abs(f(c)) < 0.0001) { break; } else if (f(c) * f(a) < 0) { b = c; } else { a = c; } iteration++; } cout << "\nThe root is approximately: " << c << endl; } int main() { double a = 1.0, b = 2.0; double tolerance = 0.01; bisection(a, b, tolerance); return 0; } Use code with caution. 🛠️ Applications in Modern Engineering
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: Roots of non-linear equations (Bisection, Newton-Raphson) and systems of linear equations (Gauss Elimination, Gauss-Seidel).
Computer Oriented Numerical Methods by RS Salaria: A Complete Guide #include #include #include using namespace std; // Define
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