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Subject Details

Dept : EEE

Sem : 4

Regul : 2019

Faculty : U.Mehar Sudha

phone : NIL

E-mail : mehar.u.math@snsct.org

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Lecture Notes

UNIT 1:

Newton Raphson method

Gauss Elimination method

Gauss Jordan method

Iterative method of Gauss Jacobi method

Iterative method of Gauss Seidal method

Matrix Inversion by Gauss Jordan method

Eigenvalues of a matrix by power method

UNIT 2:

Newton’s forward and backward difference interpolation

UNIT 3:

Approximation of derivatives using interpolation polynomials

Numerical integration by Simpson’s 1/3rd rule

Numerical integration by Trapezoidal rule

UNIT 4:

Single step methods

Euler’s method

Milne’s predictor-corrector methods for solving first order equations

Fourth order Runge-Kutta method for solving first order equations

UNIT 5:

Finite difference methods for solving two-point linear boundary value problems

Finite difference techniques for the solution of two dimensional Laplace’s equations on rectangular domain

Finite difference techniques for the solution of two dimensional Poisson’s equations on rectangular domain

Lecture Notes