MA2264 NUMERICAL METHODS Lecture Notes Common to Civil, Aero & EEE Departments - by R.Anirudhan

MA2264 NUMERICAL METHODS Lecture Notes Common to Civil, Aero & EEE Departments


MA2264 Lecture Notes

Syllabus :


UNIT I SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS
Solution of equation - Fixed point iteration: x=g(x) method – Newton’s method – Solution of linear
system by Gaussian elimination and Gauss-Jordon methods - Iterative methods - Gauss-Seidel
methods - Inverse of a matrix by Gauss Jordon method – Eigen value of a matrix by power method
and by Jacobi method for symmetric matrix.

UNIT II INTERPOLATION AND APPROXIMATION
Lagrangian Polynomials – Divided differences – Interpolating with a cubic spline – Newton’s forward
and backward difference formulas.

UNIT III NUMERICAL DIFFERENTIATION AND INTEGRATION
Differentiation using interpolation formulae –Numerical integration by trapezoidal and Simpson’s 1/3
and 3/8 rules – Romberg’s method – Two and Three point Gaussian quadrature formulas – Double
integrals using trapezoidal and Simpsons’s rules.

UNIT IV INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL
EQUATIONS
Single step methods: Taylor series method – Euler methods for First order Runge – Kutta method for
solving first and second order equations – Multistep methods: Milne’s and Adam’s predictor and
corrector methods.

UNIT V BOUNDARY VALUE PROBLEMS IN ORDINARY AND PARTIAL
DIFFERENTIAL EQUATIONS
Finite difference solution of second order ordinary differential equation – Finite difference solution of
one dimensional heat equation by explicit and implicit methods – One dimensional wave equation
and two dimensional Laplace and Poisson equations.



download Numerical Methods Lecture Notes




To Get alert, like us in facebook or subscribe us and To find what you need very easy Click G+
Previous
Next Post »