Videos as per specific numerical method

1 Roots of Equation Basic

Analytical method to find roots and necessity of numerical methods to find root of equation.

2 Roots of Equation by Bisection method

Graphical representation of bisection method, numerical on bisection method

3 Algorithm and flowchart for Bisection method

Algorithm and flowchart for Bisection method

4 MATLAB Program Bisection method

Bisection method iteration criteria

5 MATLAB Program Bisection method

Bisection method accuracy criteria

6 Linear Programing Problem-1(LPP): Formulation of LPP

Formulation of LPP numerical-1

7 Linear Programming Problem-2(LPP): Formulation of LPP

Formulation of LPP numerical-2

8 Linear Programming (Max.) Problem(LPP): Graphical Method to Solve LPP

Graphical Method to Solve LPP, numerical on maximization objective LPP

9 Linear Programing (Min.) Problem(LPP): Graphical Method to Solve LPP

Graphical Method to Solve LPP, numerical on minimization objective LPP

10 Linear Programming (Max.) Problem(LPP): Simplex Method

Simplex method to solve LPP, numerical on maximization LPP

11 Linear Programming (Min.) Problem(LPP): Simplex Method (Big M Method)

Big M Method to solve LPP, numerical on minimization LPP

12 Linear Programming Problem(LPP): Simplex Method

Flowchart of Simplex Algorithm

13 Linear Programming Problem(LPP): Degeneracy case in LPP

Perturbation method to select key row when there is tie in selection of key row

14 Curve Fitting: Least Square Method (LSM)

Derivation of least square method, Generalized formula for linear, quadratic and multi-variable linear regression

15 Curve Fitting: Least Square Method (LSM)

Types of curves, numerical on linear and quadratic curve fitting

16 Curve Fitting: Least Square Method (LSM)

Problems on power and exponential curve fitting

17 Interpolation

Newton's Forward Difference (NFD) Interpolation, numerical on interpolation by N FD method

18 Interpolation

Lagrange's Interpolation Method, numericals on interpolation and inverse interpolation by Lagrange's method

19 Numerical Integration: Newton-Cotes

Basics of numerical integration, derivation of Newton-Cotes formula and formulations of Trapezoidal rule, Simpson's 1/3 rule and Simpson's 3/8 rule

20 Numerical Integration: Newton-Cotes

Numericals on Trapezoidal rule, Simpson's 1/3 rule and Simpson's 3/8 rule

21 Numerical Integration: Gaussian Integration

Derivation for Gaussian Integration, Gauss-Quadrature 2-Point formula, Gauss-Quadrature3-Point formula

22 Numerical Integration: Gaussian Integration

Numericals on Gaussian integration (Gauss-Quadrature 2 point and 3 point method)

23 Numerical Integration: Double integration

Double integration numerical by Newton-Cotes methods (Trapezoidal rule and Simpson's 1/3 rule)

24 MATLAB Solvers

MATLAB solvers for different numerical methods

25 MATLAB Program

Algorithm, Flowchart and MATLAB program for Gauss-Quadrature 2 point and 3 point method

26 MATLAB mobile application

MATLAB mobile application Installation procedure, MATLAB coding and its execution.

27 Solution of Linear Simultaneous Equations

Introduction to solution of linear simultaneous equations, analytical method, graphical method, Cramer’s rule, necessity of numerical methods

28 Solution of Linear Simultaneous Equations

Gauss Elimination Method

29 Solution of Linear Simultaneous Equations

Limitations of Gauss elimination method, necessity of partial pivoting in Gauss Elimination method

30 Solution of Linear Simultaneous Equations

Numericals on Gauss elimination with partial pivoting method

31 Solution of Linear Simultaneous Equations

Tri-diagonal matrix algorithm (TDMA)

32 Solution of Linear Simultaneous Equations

Jacobi iteration method

33 Solution of Linear Simultaneous Equations

Gauss-Seidal method

34 Solution Partial Differential Equations

Finite difference approximation, numerical solution of Laplace PDE and 1-D heat conduction equation.

35 Solution Partial Differential Equations

Algorithm, FLowchart and MATLAB program for solution of Laplace equation