fonseh said:
It's just the notes ... For my trial , i didnt post images ...Ray Vickson said:
The Newton interpolary difference formula is a mathematical method used to approximate the value of a function at a point within a given range of values. It is based on the concept of divided differences, which is used to simplify the process of calculating higher-order derivatives of a function.
The formula uses a set of data points to construct a polynomial function that passes through those points. This polynomial function is then used to estimate the value of the function at any point within the given range by using the values of the function at the data points.
One advantage is that it is a relatively simple and efficient method for approximating the value of a function. It also allows for more accurate estimation compared to other interpolation methods, especially when the data points are evenly spaced.
One limitation is that the accuracy of the approximation decreases as the distance between data points increases. This means that the formula may not be as effective for non-uniformly distributed data. Additionally, the use of higher-order polynomials can lead to numerical instability and errors.
The formula is commonly used in fields such as mathematics, engineering, and computer science for tasks such as curve fitting, function approximation, and solving differential equations. It can also be applied in various scientific and technological applications that require data analysis and prediction.
