181401 NUMERICAL METHODS SYLLABUS FOR CIVIL ENGINEERING | SYLLABUS FOR PRINCIPLES OF MANAGEMENT | 181401 NUMERICAL METHODS FOR ANNA UNIVERSITY CHENNAI STUDENTS REGULATION 2010 | CIVIL ENGINEERING 4TH SEMESTER,SECOND YEAR SYLLABUS|


181401 NUMERICAL METHODS          

(Common to Civil, Aero, Manu, EEE, ECE, CSE, IT, Chemical &Plastic)

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.


INTERPOLATION AND APPROXIMATION                                                                

Lagrangian Polynomials – Divided differences – Interpolating with a cubic spline – Newton’s forward and backward difference formulas.

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.  

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.

 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.
                                                                                


TEXT BOOKS
1.         Veerarjan, T and Ramachandran, T., “Numerical methods with programming in C”,             Second Editiion, Tata McGraw-Hill Publishing.Co.Ltd, 2007.
2.         Sankara Rao K, “Numerical Methods for Scientisits and Engineers”, 3rd Edition, Printice    Hall of India Private Ltd, New Delhi, 2007.

REFERENCE BOOKS
1.             Chapra, S. C and Canale, R. P., “Numerical Methods for Engineers”, 5th Edition, Tata                                McGraw-Hill, New Delhi, 2007.
2.     Gerald, C. F. and Wheatley, P.O., “Applied Numerical Analysis”, 6th Edition, Pearson Education, Asia, New Delhi, 2006.
3.     Grewal, B.S. and Grewal,J.S., “ Numerical methods in Engineering and Science”, 6th   Edition, Khanna Publishers, New Delhi, 2004.

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