I'm under the impression that any implicit method for numerically solving ODE should be providing high stability in exchange for accuracy.(adsbygoogle = window.adsbygoogle || []).push({});

I'm trying to solve the differential equation:

dy/dx = -1000y + 3000 - 2000exp(-x) with intial conditions (0,0).

I still can't understand how come the numerical solution using the Implicit Midpoint is oscillating if it is supposed to be a stable method. Judging from the values, they oscillate between ~0 and~2.

Am I missing something here?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Implicit iterative methods oscillating?

Loading...

**Physics Forums - The Fusion of Science and Community**