I use them as an alternative to search engines for topics where I have some specific question where traditional search engines fail to find the needle in the ha

I use them as an alternative to search engines for topics where I have some specific question where traditional search engines fail to find the needle in the haystack. As a concrete example, I was recently playing with simulating the wave equation, and I wanted to try to use a higher-order approximation as I had never done that before. I'm quite rusty as I haven't done any numerical work since university some decades ago. I still recalled how to deal with the Neumann boundary conditions when using the traditional lower-order approximation, but I was uncertain how to do it while keeping the higher-order approximation. Searching for "higher-order neumann boundary conditions wave equation" or similar got me pages upon pages of irrelevant hits, most of them dealing with the traditional approximation scheme. So I turned to ChatGPT which right away provided a decent answer[1], and along with a follow-up question gave me what I needed to implement it successfully. [1]: https://chatgpt.com/share/67b4ab43-6128-8013-8e5a-3d13a74bf6ab https://chatgpt.com/share/67b4ab43-6128-8013-8e5a-3d13a74bf6...