Explore a comprehensive 7-hour playlist on numerical analysis covering essential topics such as interpolation formulas, numerical integration, differential equation solving methods, and curve fitting techniques. Learn about Newton's forward and backward interpolation, Stirling's formula, Gauss interpolation, Bessel's formula, Lagrange interpolation, trapezoidal and Simpson's rules, Picard method, Euler modified method, Runge-Kutta method, Milne predictor-corrector method, and least squares curve fitting for various functions. Delve into additional numerical methods including bisection, regula falsi, iteration, secant, and Newton-Raphson methods for solving equations, as well as Gauss elimination, Gauss-Jordan, LU decomposition, Jacobi, and Gauss-Seidel methods for solving linear systems.
Overview
Syllabus
Overview of Numerical Analysis | Interpolation | Integration | Differentiation.
Interpolation Formula -Newton Forward & Backward | Example and Solution.
Interpolation Formula - Stirling, Gauss Forward & Backward, Bessel's | Example & Solution.
Lagrange Interpolation | Unequal Interval |Newton divided difference.
Numerical Integration - Trapezoidal Rule, Simpsons 1/3 & 3/8 Rule.
Picard method of successive approximations Example for solving ODE.
Euler Modified Method - Solution Of ODE By Numerical Method | Example.
Runge Kutta Method of 4th Order - Solution of ODE By Numerical Method.
Milne Predictor & Corrector Method - Solution Of ODE Numerical Method.
Adam Bashforth Predictor And Corrector Method - Solution Of ODE By NA.
Curve Fitting Straight Line & Second Degree Parabola By Least Square.
Curve Fitting Of Exponential Curve By Least Square Method Examples.
Bisection Method | Numerical Methods | Solution of Algebraic & Transcendental Equation.
Regula Falsi Method | False Position Method | Numerical Methods.
Iteration Method | Fixed Point Iteration Method | Numerical Methods.
Secant Method | Chord Method | Numerical Methods , Formula & Examples.
Newton Raphson Method | Numerical Methods | Formula & Example.
Gauss Elimination Method | Numerical Methods | solution of Linear Equations.
Gauss Jordan Method | Numerical Methods | solution of Linear Equations.
LU Decomposition Method | Numerical Methods | Solution of Linear Equation.
Jacobi method | Iterative method | Solution of Linear System Equation.
Gauss Seidel Method | Iterative Method | Numerical Methods | Problems.
Coronavirus | How To Protect Your Self | Advice For Students & Community Members.
Taught by
Gajendra Purohit
