NAD SOLUTION FOR ASSIGNMENT 3 BY TOYSHA JAIN, ROLL NO: IT-2K24-91

This presentation provides complete step-by-step solutions, derivations, iteration tables, formulas, complexity analysis, and Python implementations for major Numerical Methods topics. 🔹 Topics Covered ✅ Root Finding Methods • Bisection Method • Regula-Falsi Method • Secant Method • Newton-Raphson Method • Fixed-Point Iteration ✅ Interpolation Techniques • Lagrange Interpolation • Hermite Interpolation • Newton’s Divided Difference • Forward & Backward Difference Methods ✅ Numerical Differentiation • Interpolation-Based Differentiation • Forward, Backward & Central Differences ✅ Numerical Integration / Quadrature • Trapezoidal Rule • Simpson’s 1/3 Rule • Simpson’s 3/8 Rule • Weddle’s Rule • Newton-Cotes Formulas ✅ Linear System Solvers • Gauss Elimination with Partial Pivoting • Jacobi Iteration • Gauss-Seidel Method ✅ Approximation Theory • Least Squares Approximation • Orthogonal Polynomial Approximation • Legendre & Chebyshev Polynomials ✅ Ordinary Differential Equations (ODEs) • Euler Method • Runge-Kutta 4th Order (RK4) • Picard’s Method • Taylor Series Method 💡 Features of this Assignment ✔ Detailed derivations ✔ Iteration tables ✔ Complexity analysis ✔ Geometric interpretation ✔ Python code snippets ✔ Error analysis & convergence comparison 🏫 Subject: Design and Analysis of Numerical Algorithms (IT505) 🎓 International Institute of Professional Studies, DAVV 👩‍🎓 Presented By: TOYSHA JAIN 📌 Roll No.: IT-2K24-91 If this helped you, make sure to Like 👍 Share 🔄 and Subscribe 🔔 for more educational presentations and numerical methods content.