Newton's divided difference interpolation formula is used when the values of the independent variable are

zaasmi

Equally spaced
Not equally spaced
Constant
None of the above

zaasmi

@zaasmi said in Newton's divided difference interpolation formula is used when the values of the independent variable are:

Newton’s divided difference interpolation formula is used when the values of the independent variable are unequally spaced.

Newton’s divided difference interpolation formula is used when the values of the independent variable are unequally spaced.

This method is effective for cases where the data points (the independent variable values) do not have a uniform interval between them. It constructs an interpolating polynomial based on divided differences, making it more versatile compared to other methods like Newton’s forward or backward interpolation formulas, which are suited for equally spaced data points.
unequally spaced

dy/dx - = 1 - y,y(0) = 0 is an example of

In Double integration, the interval [a, b] should be divided into [c, d) should be divided into --sub intervals of size k. --subintervals of size h and the interval

The (n + 1) th difference of a polynomial of degree n is...

Let P be any real number and h be the step size of any interval. Then the relation between h and P for the backward difference is given by

In integrating $\int_{0}^{\frac{2}{2}} \cos x d x$ by dividing the interval into four equal parts, width of the interval should be

In fourth order Runge-Kutta method K 4

In fourth order Runge-Kutta method k2

What is the Process of finding the values outside the interval (Xo,x,) called?

When we apply Simpson's 3/8 rule, the number of intervals n must be

Milne's P-C method is a multi step method where we assume that the solution to the given initial value problem is known at past --equally spaced points.

The truncation error in Adam's predictor formula is ....-times more than that in corrector formula

To apply Simpson's 3/8 rule, the number of intervals be

Which formula is useful in finding the interpolating polynomial?

Rate of change of any quantity with respect to another can be modeled by

Romberg's integration method is ------ than Trapezoidal and Simpson's rule.

In integrating f, e2* dx by dividing into eight equal parts, width of the interval should be......

To apply Simpson's 1/3 rule, valid number of intervals are?

Newton's divided difference interpolation formula is used when the values of the independent variable are

If there are (n+1) values of y corresponding to (n+1) values of x, then we can represent the function f(x) by a polynomial of degree

MTH603 Assignment 1 Solution and Discussion

Newton's divided difference interpolation formula is used when the values of the independent variable are

File Sharing

1

3.0k

2.8k

8.2k