Lec-11. Central Difference Interpolation-II | Gauss's Backward Interpolation Formula

In this video, we continue our deep dive into central difference methods by exploring Gauss’s Backward Interpolation Formula. We derive the formula step-by-step from foundational operator relations and then solve a full numerical problem to demonstrate how to choose the origin x0, construct the central difference table, and calculate accurate interpolated values. In this lecture, you will learn: The core purpose of Gauss’s Backward Formula and when to choose it over Gauss’s Forward Formula How to define the normalized variable u (typically u lying between -1 to 0) Complete mathematical derivation and proof of Gauss’s Backward Formula Step-by-step zigzag navigation across the difference table Solved numerical example: setting up the table, selecting central differences, and computing the result Key comparison: Gauss's Forward vs. Gauss's Backward Interpolation Useful For: B.Sc. Mathematics, B.Tech / BE Engineering Mathematics, BCA/MCA, M.Sc. Mathematics, and competitive examinations such as CSIR NET and GATE. Don't forget to Like, Share, and Subscribe to follow the complete Numerical Analysis course playlist!