Can someone please explain this to me, the part where we take the integrals, why is it not $ \frac{1}{ \Delta x^{2}} $ for K11 how do they get 2\deltax >?
2026-03-26 01:26:41.1774488401
Galerkin Method
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The basis functions are supported on very small intervals, so while both of them contribute a $\frac{1}{\Delta x}$, the length of the interval is only $\Delta x$ so we end up with an interval on the order of $$\frac{1}{\Delta x^2} \Delta x = \frac{1}{\Delta x}$$