Interpolation Formula - Stirling, Gauss Forward & Backward, Bessel's | Example & Solution

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First of all, I want to thank you sir, your videos are really helpful. Secondly, I want to draw your attention to the solution by bessel formula, while drawing out the value of f(9), when the last entry was assumed to be zero, the average became 5 which caused error in calculation, instead if we completely ignore it and solve taking only one value, i.e.10, we get the correct answer.... Can you please clear my doubt... Thanks in advance 🤗

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Sir I think there is one mistake. In Gauss Forward method in the third term you missed to multiply 0.25.
It should have been (0.25*(0.25-1)*(-5))/2! .

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There is one mistake in finding f(9) through Gross forward method. one value of u is missing in calculation

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I think we can use La Grange interpolation formula on that Gauss example as we reduce interval 0-8-14 we got answer 33.45 something...
La Grange formula is use for equal as well as unequal interval

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Sir if the entries given àre 6 then how I choose middle one as Y0

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Jiski value puchhi ho usko dekh kar center Choose kariye
For example 4 entry me agar puch gayi value x ki shuri ki 2 entry ke beech me hai tab 2nd entry ko center manege aur agar puchi gayi value x ki akhri ki 2 entry ke beech me hai tab 3rd entry ko center Choose karenge

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