UNIT 1:
Introduction and Application of Solution of equations and Eigen value problems
Fixed Point Iteration Method
Gauss Elimination Method - Pivoting
Gauss - Seidel Iterative Method
Eigen values of a matrix by Power Method
Gauss - Jacobi Iterative Method &
Eigen values of a matrix by Jacobi’s method for symmetric matrices
UNIT 2:
Introduction and Application of Interpolation and Approximation
Interpolation with unequal intervals - Lagrange’s Interpolation
Newton’s Divided Difference Interpolation
Newton’s Forward Interpolation Formula
Newton’s Forward Interpolation Formula
Newton’s Backward Interpolation Formula
Newton’s Backward Interpolation Formula
UNIT 3:
Introduction and Application of Numerical Differentiation and Integration
Newton’s Forward Difference Formula
Newton’s Backward Difference Formula
Numerical single integration by Trapezoidal rule
Numerical single integration by Simpson’s 1/3 rd rule
Numerical single integration by Romberg’s Method
Gaussian Two point and Three point Formulae
Numerical double integration by Trapezoidal rule
Numerical double integration by Simpson’s 1/3 rd rule
UNIT 4:
Introduction and Application of Initial value problems for ordinary differential equations
Introduction and Application of Initial value problems for ordinary differential equations
Taylor’s series Method for solving simultaneous first order differential equations
Taylor’s series Method for solving higher order linear differential equations
Euler and Modified Euler’s Method
Fourth order Runge - Kutta Method for solving simultaneous first order differential equations
Fourth order Runge - Kutta Method for solving first order differential equations
Milne’s Predictor and Corrector Methods for solving first order differential equations
Adam’s - Bash Forth Predictor and Corrector Methods for solving first order differential equations
UNIT 5:
Introduction and Application of Boundary value problems for ordinary and partial differential equations
Finite difference methods for solving two-point linear boundary value problems
Two dimensional Laplace’s equations on rectangular domain
Two dimensional Poisson’s equations on rectangular domain
One dimensional heat flow equation by Bender - Schmidt’s Explicit Method
One dimensional heat flow equation by Bender - Schmidt’s Explicit Method
One dimensional heat flow equation by Crank - Nicholson’s Implicit Method
One dimensional heat flow equation by Crank - Nicholson’s Implicit Method
One dimensional wave equation by Explicit Method
