{PDF} MA6459 Numerical Methods (NM) Books, Lecture Notes, 2marks with answers, Important Part B 16marks Questions, Question Bank & Syllabus
MA6459 Numerical Methods (NM) Part A & Part B Important Questions with Answers
Semester : 04
Department : Civil Engineering (CE)
Year : Second Year (II Year)
Regulation : 2013
Subject Code / Name : MA6459 Numerical Methods (NM)
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.
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Lecture Notes
MA6459 Numerical Methods (NM) Lecture Notes
- Lecture Notes Collections 1 – DOWNLOAD (Including 2marks & Year Wise Collections)
- Lecture Notes Collections 2 – DOWNLOAD
- Lecture Notes Collections 3 – DOWNLOAD (Handwritten Notes)
Part A – 2 Marks
Question Papers
MA6459 Numerical Methods (NM) Question Papers Collections
- Last 5 Years Anna University Question Papers Collection – DOWNLOAD
Question Banks
MA6459 Numerical Methods (NM) Question Bank
- Collection 1 – DOWNLOAD
- Collection 2 – DOWNLOAD
