Backward Differencing - Calculus How To
www.calculushowto.com › backward-differencingApr 22, 2021 · Example question: Approximate the derivative of f (x) = x 2 + 2x at x = 3 using backward differencing with a step size of 1. Step 1: Identify xk. This is given in the question as x = 3. Step 2: Calculate f (xk), the function value at the given point. For this example, that’s at x = 3. Inserting that value into the formula we’re given in the ...
Backward differentiation formula - Wikipedia
https://en.wikipedia.org/wiki/Backward_differentiation_formulaThe backward differentiation formula (BDF) is a family of implicit methods for the numerical integration of ordinary differential equations. They are linear multistep methods that, for a given function and time, approximate the derivative of that function using information from already computed time points, thereby increasing the accuracy of the approximation. These methods are especially used for the solution of stiff differential equations. The methods were first introduced …