[PDF] MA6459 Numerical Methods (NM) Books, Lecture Notes, 2marks with answers, Important Part B 16marks Questions, Question Bank & Syllabus

Content : Syllabus, Question Banks, Books, Lecture Notes, Important Part A 2 Marks Questions and Important Part B 16 Mark Questions, Previous Years Question Papers Collections.

MA6459 Numerical Methods (NM) 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.

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.

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.

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.

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.

MA6459 Numerical Methods (NM) Question Papers Collections

• Last 5 Years Anna University Question Papers Collection – DOWNLOAD

• Collection 2 – DOWNLOAD

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