Numerical Methods 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 method– Iterative method – Gauss-Seidel method – 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 formulae – Double integrals using trapezoidal and Simpsons’s rules.
UNIT IV INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS
Single step methods: Taylor series method – Euler method for first order equation – Fourth 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.
We didn’t restrict ourselves with book knowledge.Providing support in hardware and software sides.We experiment some best ideas and provided to you.It’s our first blog created to help user’s.Numerical Methods syllabus.To gain some knowledge about hard ware/software click here.
We are also preferring you some official sites.To learn something other than studies mail us.Join us in social medias.Facebook,Google+,etc.We will help you regarding project works also.Feel free to contact us.Ready to help you.Response for your mail will be done as quick as possible.Within short span of 24 hours.Also providing contents for other subjects.Contents will be easy to read.Help you to gain more marks.Share our site with your friends.Help them to gain more knowledge and also marks in academics.Numerical Methods syllabus.Numerical Methods syllabus.
Feel comfortable with our contents.For more contents you can mail us.Mail your needs we will provide if possible.
For further subjects syllabus, notes, video materials and question papers visit kprblog.in.
To share your thoughts mail us.For further queries or suggestions.Mail us to [email protected]