IGNOU MTE 10 2018 - Show that where μ and are the average and centraldif

Question

Show that $\sqrt{1 + \mu ^2\delta^2 } = 1 +\frac{\delta ^2}{2}$
where μ and $\delta$ are the average and central
differences operators, respectively.

14 Feb 2018

Answer :

Word Count : 190

To solve this numerically, let's start by simplifying the equation and performing a series expansion. You are asked to show that: \[ \sqrt{1 + \mu^2 \delta^2} \approx 1 + \frac{\delta^2}{2} \] where $\mu$ and $\delta$ are operators. We will assume that $\delta$ is a

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