Newton’s Divided Difference Interpolation | Table, Formula & Solved Examples

In this lecture, we explain Newton’s Divided Difference Interpolation Method, an important technique in Numerical Methods used to estimate values when data points are not equally spaced. The video starts with the concept of divided differences and explains how to construct the divided difference table step by step. You will then learn the Newton’s Divided Difference Formula and how to use it to build an interpolation polynomial. To make the concept clear, we solve numerical examples and explain the complete working procedure in a simple and easy way. 📚 Topics covered in this lecture: • Introduction to Divided Difference Interpolation • Construction of Divided Difference Table • Newton’s Divided Difference Formula • Step-by-step working rule • Solved numerical examples This method is widely used in Numerical Analysis, Engineering Mathematics, and Scientific Computing, especially when data points are unevenly spaced. This lecture is helpful for students of BS Mathematics, Engineering, Computer Science, and Numerical Methods courses. Watch the full video to master Newton’s Divided Difference Interpolation with clear concepts and examples. This lecture is useful for BS Mathematics, Engineering, Computer Science, and university students studying numerical methods or linear algebra. Watch the full lecture to clearly understand special matrices, matrix properties, and iterative techniques used in solving linear systems. 📌 Perfect for: • BS Mathematics students • Engineering students • Competitive exam preparation Watch till the end for a complete understanding with theory + graphical intuition + practical examples. Subscribe to Learn with Arisha for more detailed lectures on numerical methods and MATLAB tutorials. 🔹More Playlists: ✅ Numerical Methods Quick Concepts | Short Urdu Videos https://youtube.com/playlist?list=PLQN-EgCjaCPE9hGvVPG4LWdyqYCNS-_Z4&si=aOhbAFoR1XanUrlj ✅Numerical Methods – Full Course https://youtube.com/playlist?list=PLQN-EgCjaCPEH08zW7aUvCJR-BfscRZg-&si=9NwkOOWmed6RkDX1 ✅ 3D Plotting in MATLAB | Learn with Arisha https://youtube.com/playlist?list=PLQN-EgCjaCPFKXGCIzLj-QVcvojLfJVWf&si=-JPTqK-Js0T2lfFV ✅ 2D Plotting in MATLAB | Learn with Arisha https://youtube.com/playlist?list=PLQN-EgCjaCPFUtyWcKDpCbPmcYMC8nnQC&si=McpIOs4a8rcub3Gb ✅ Numerical Analysis Complete Course https://youtube.com/playlist?list=PLQN-EgCjaCPGrYf4xZ0BhxXvPgdZ-Y9ks&si=8SB4AG9_G9CqJ_ue ✅MATLAB for Numerical Computation https://youtube.com/playlist?list=PLQN-EgCjaCPEZZQ5t6xzWn7Xxv3042bjG&si=CGwmwKr6-Dt-y4X- 🚀 Boost Your Numerical Computing Skills! This tutorial is perfect for students, engineers, and programmers who want to understand numerical errors in computational mathematics and MATLAB programming. 💡 Want More Tutorials on Numerical Methods? 👉 Subscribe for more computational math & MATLAB lessons! 👉 Hit the Like button if this video helps! 👉 Have questions? Comment below! 🔔 Stay updated with the latest programming & numerical analysis tutorials! #NewtonForwardInterpolation #Interpolation #NumericalMethods #ForwardDifference #DifferenceTable #EngineeringMathematics #NumericalAnalysis #MathLecture #LearnWithArisha #NewtonBackwardInterpolation #BackwardDifference #Interpolation #NumericalMethods #NumericalAnalysis #differencetable #LagrangeInterpolation #InverseInterpolation #NumericalMethods #NumericalAnalysis #Interpolation #EngineeringMathematics #MathLecture #PolynomialInterpolation #mathtutorial #lagrange #lagrangeinterpolation #inverselagrange #inverselagrangeinterpolation #DividedDifference #NewtonInterpolation #Interpolation #NumericalMethods #NumericalAnalysis #DifferenceTable #EngineeringMathematics #MathLecture #PolynomialInterpolation #LearnWithArisha