MA6459 Numerical Methods (NM) Books, Lecture Notes, 2marks with answers, Important Part B 16marks Questions & MA6459 Numerical Methods (NM) Anna University Question Papers Collection

MA6459 Numerical Methods (NM)

Semester : 04

Department : Civil

Year : Second Year (II Year)

Regulation : 2013

Subject Code / Name : MA6459 Numerical Methods (NM)

Content : Question Banks, Books, Lecture Notes, Important Part A 2 Marks Questions and Important Part B 16 Mark Questions 

MA6459                                                NUMERICAL  METHODS                            

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.

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Lecture Notes 

MA6459 Numerical Methods (NM) Lecture Notes

• Lecture Notes Collections 1 – DOWNLOAD  

• Lecture Notes Collections 1 – DOWNLOAD  

MA6459 Numerical Methods (NM) – Part A 2 Marks
MA6459 Numerical Methods (NM) unit wise 2 marks with Answers

• UNIT 1 to UNIT 5 - 2MARKS – DOWNLOAD  

MA6459 Numerical Methods (NM) – Part B 16 Marks 

MA6459 Numerical Methods (NM) unit wise 16 marks with answers 

• UNIT 1 – DOWNLOAD

• UNIT  2 – DOWNLOAD

• UNIT 3 – DOWNLOAD

• UNIT 4 – DOWNLOAD

• UNIT 5 – DOWNLOAD (Ref. Lecture Notes )

Question Banks

MA6459 Numerical Methods (NM) Question Bank 

• Collection 1 – DOWNLOAD

• Collection  2 – DOWNLOAD

• Collection  3 – DOWNLOAD

• Collection  4 – DOWNLOAD

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