–1 –1 vote In order to numerically solve the ordinary differential equation $\frac{d y}{d t}=-y$ for $t>0$, with an initial condition $y(0)=1$, the following scheme is employed \[ \frac{y_{n+1}-y_{n}}{\Delta t}=-\frac{1}{2}\left(y_{n+1}+y_{n}\right) . \] Here, $\Delta t$ is the time step and $y_{n}=y(n \Delta t)$ for $n=0,1,2, \ldots$ This numerical scheme will yield a solution with non-physical oscillations for $\Delta t>h$. The value of $h$ is $\frac{1}{2}$ $1$ $\frac{3}{2}$ $2$ Differential Equations gateme-2024 numerical-answers differential-equations numerical-methods + – ♦admin 766 views answer comment Share Follow Add Sync Questions 0 reply Please log in or register to add a comment.
