Finite Difference

The second derivative of a function f is computed using the fourth-order Central Divided Difference method with a step length h. The CORRECT expression for the second derivative is

The second derivative of a function $f$ is computed using the fourth-order Central Divided Difference method with a step length $h$. The CORRECT expression for the second derivativ...

The differential equation, $\rm \frac{du}{dt}+2tu^2=1,$ is solved by employing a backward difference scheme within the finite difference framework. The value of 𝑢 at the (𝑛 − 1)...

A continuous function f(x) is defined. If the third derivative at $x_i$ is to be computed by using the fourth order central finite-divided-difference scheme (with step length = h),...

A one-dimensional domain is discretized into N sub-domains of width $\Delta x$ with node numbers $i = 0,1,2,3,..., N$. If the time scale is discretized in steps of $\Delta t$, the...