UNIT 1:
Matrix Inversion by Gauss – Jordan method
Matrix Inversion by Gauss – Jordan method
Eigen values of a matrix by power method.
UNIT 2:
Interpolation with equal intervals
Relation between the operators
Newton’s forward and backward difference interpolation
Newton’s forward and backward difference interpolation
Interpolation with unequal intervals
Lagrange’s and Newton’s divided difference interpolations.
UNIT 3:
Approximation of derivatives using interpolation polynomials
Differentiation using interpolation formulae
Differentiation using interpolation formulae
Numerical integration by Trapezoidal
Numerical integration by Simpson’s 1/3rd
Numerical integration by Simpson’s 3/8th rules
Double integrals using Trapezoidal rules.
Double integrals using Trapezoidal rules.
Double integrals using Trapezoidal rules.
UNIT 4:
Fourth order Runge Kutta method for solving first order equations
Milne’s predictor corrector methods
Milne’s predictor corrector methods
Fourth order Runge Kutta method for solving first order equations
UNIT 5:
Finite difference method for solving two point linear boundary value problems
Finite difference method for solving two point linear boundary value problems
Finite difference techniques for the solution of two dimensional Poisson equations on rectangular domain
Finite difference techniques for the solution of two dimensional Laplace equation on rectangular domain
Finite difference techniques for the solution of two dimensional Poisson equations on rectangular domain
Finite difference techniques for the solution of two dimensional Laplace equation on rectangular domain
Finite difference techniques for the solution of two dimensional Laplace equation on rectangular domain
One dimensional wave equation by explicit methods
One dimensional wave equation by explicit methods
