English, asked by pradhanhimansu12345, 17 days ago

the following is used for unequal intervals of x values​

Answers

Answered by 1157684
21

Answer:

When the values of the independent variable occur with unequal spacing, the formula discussed earlier is no longer applicable. In this situation another formula which is based on divided difference is used.

Explanation:

Answered by chamilmajumder
1

Answer:

Newton's divided difference interpolation formula is an interpolation technique used when the interval difference is not the same for all sequences of values.

When the values of the independent variable occur with unequal spacing, the formula discussed earlier is no longer applicable. In this situation, another formula that is based on divided difference is used.

Explanation:

Newton's general interpolation formula with divided differences. This method is applicable whether the interval is equal or unequal and whether the value is to be interpolated is in the beginning or in the end. (1) This is known as Lagrange's interpolation formula for unequal intervals.  Newton's divided difference interpolation formula is an interpolation technique used when the interval difference is not the same for all sequences of values.

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