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# MA6459 SYLLABUS NUMERICAL METHODS REGULATION 2013 ANNA UNIVERSITY

MA6459 SYLLABUS NUMERICAL METHODS REGULATION 2013 ANNA UNIVERSITY for students.

## OBJECTIVES of MA6459 SYLLABUS :

• This course aims at providing the necessary basic concepts of a few numerical methods and give procedures for solving numerically different kinds of problems occurring in engineering and technology

### MA6459 SYLLABUS UNIT I SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS

Solution of algebraic and transcendental equations – Fixed point iteration method – Newton Raphson method- Solution of linear system of equations – Gauss elimination method – Pivoting – Gauss Jordan method – Iterative methods of Gauss Jacobi and Gauss Seidel – Matrix Inversion by Gauss Jordan method – Eigen values of a matrix by Power method.

#### MA6459 SYLLABUS UNIT II INTERPOLATION AND APPROXIMATION

Interpolation with unequal intervals – Lagrange’s interpolation – Newton‟s divided difference interpolation – Cubic Splines – Interpolation with equal intervals – Newton‟s forward and backward difference formulae.

#### MA6459 UNIT III NUMERICAL DIFFERENTIATION AND INTEGRATION

Approximation of derivatives using interpolation polynomials – Numerical integration using Trapezoidal, Simpson‟s 1/3 rule – Romberg‟s method – Two point and three point Gaussian quadrature formulae – Evaluation of double integrals by Trapezoidal and Simpson‟s 1/3 rules.

#### MA6459 SYLLABUS UNIT IV INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS

Single Step methods – Taylor‟s series method – Euler‟s method – Modified Euler‟s method – Fourth order Runge-Kutta method for solving first order equations – Multi step methods – Milne‟s and Adams-Bash forth predictor corrector methods for solving first order equations.

#### MA6459 UNIT V BOUNDARY VALUE PROBLEMS IN ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS

Finite difference methods for solving two-point linear boundary value problems – Finite difference techniques for the solution of two dimensional Laplace‟s and Poisson‟s equations on rectangular domain – One dimensional heat flow equation by explicit and implicit (Crank Nicholson) methods – One dimensional wave equation by explicit method.

 Subject Name Numerical methods Subject Code MA6459 Regulation 2013 File type PDF

Civil Engineering subjects of regulation 2013

Mechanical Engineering (MECH) Subjects of regulation 2013

Electrical and Electronics Engineering (EEE) Subjects of regulation 2013

Electronics and Communication Engineering (ECE) Subjects of regulation 2013

Computer Science and Engineering (CSE) Subjects of regulation 2013

Information Technology (IT) Subjects of regulation 2013