Write down the program for solving ordinary differential equation usin | Numerical Method 2080

Numerical Method20805 marksHeun's method

Write down the program for solving ordinary differential equation using Heun's method. [5]

Heun's method is a predictor-corrector method (also called the improved Euler's method) for solving ODEs of the form: $\frac{dy}{dx} = f(x, y), \quad y(x0) = y0$ The core formula is: $y{n+1} = yn + \frac{h}{2}(m1 + m2)$ Where: - $m1 = f(xn,\ yn)$ (slope at the beginning of the interval) -

Heun's method is a predictor-corrector method (also called the improved Euler's method) for solving ODEs of the form: $$\frac{dy}{dx} = f(x, y), \quad y(x0) = y0$$ The core formula is: $$y{n+1} = yn + \frac{h}{2}(m1 + m2)$$ Where: - $m1 = f(xn,\ yn)$ (slope at the beginning of the interval) -

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