Aim of the Experiment

The primary aim of this experiment is to explore the concept of interpolation and apply various systematic numerical methods to estimate the value of a function at intermediate points using both evenly spaced and unevenly spaced data.

Introduction

Interpolation serves as a fundamental tool in numerical analysis, enabling the prediction of unknown values within the range of known data points.

• For evenly spaced points, methods such as Newton’s Forward and Backward Interpolation are widely used due to their efficiency and structured approach.
• For unevenly spaced points, methods like Lagrange’s Interpolation and Newton’s Divided Difference are employed, offering flexibility and generality in handling arbitrary data distributions.

Expected Outcomes

By performing this experiment, students will:

• Develop problem-solving skills in numerical computation.
• Gain deeper insights into the strengths and limitations of different interpolation techniques.
• Appreciate the importance of interpolation in bridging discrete data with continuous analysis in real-world scenarios.