Numerical Methods

Synopsis

This course deals with Linear, non-linear equations, systems of equations. Jacobi, Gauss-Seidel, SOR. LU decomposition, Newton-Raphson, bisection and Wegstein’s method - convergence acceleration; zeros of , polynomials; interpolating polynomial; finite difference methods; numerical differentiation, Newton-Coates and Gaussian quadrature. Solution of ODE’s; the shooting method; numerical solution of reaction network equations; solution of transient heat and mass transfer models. 

Objectives

On successful completion of this course, student will be able to:

1. describe concepts and techniques for numerical analysis, methods and algorithms 

2. define solutions of equations in one variable 

3. define solutions of equations in multi variables 

4. apply the curve fitting method for experimental data 

5. define the numerical differentiation and integration 

6. apply the initial value problem 

7. solve simple problems given at the end of each topic using hand and scientific calculator 

8. apply the various learned algorithms and methods using structured programming 

Class Slides

Book is here available

Assignment

1. First Assignment, Solve problems 1.3, 1.4, and 1.5, submit your  excel file here,  and hard writing hard copy to my office. Due by 6 February 2022

Class Material

1. weeks 1 and 2

2. Boundary Value Problem

3. excel cover almost all topics