# Anna University Numerical Methods Notes – MA2264 NM Lecture Notes

**Anna University Numerical Methods Notes** common to CIVIL, AERO, CSE,EEE Departments.** Numerical Methods Anna University Lecture Notes** for all Units. **Subject Notes** for MA2264 Numerical Methods (NM). Download **Numerical Methods Anna University Notes .**

**NUMERICAL METHODS ANNA UNIVERSITY NOTES**

Subjects : **Numerical Methods** (NM)

Subject Code : **MA2264**

Departments : **Civil, Aero, CSE,EEE**

University : **Anna University**

**Download Numerical Methods Anna University Notes**

**Contents in NM notes:**

* NUMERICAL METHODS ANNA UNIVERSITY NOTES*

**SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS**

*Linear interpolation methods (method of false position) – Newton’s method – Statement of fixed point theorem – Fixed point iteration: x=g(x) method – Solution of linear system by Gaussian elimination and Gauss-Jordon methods – Iterative methods: Gauss Jacobi and Gauss-Seidel methods – Inverse of a matrix by Gauss Jordon method – Eigen value of a matrix by power method.*

**INTERPOLATION AND APPROXIMATION**

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

**NUMERICAL DIFFERENTIATION AND INTEGRATION**

Derivatives from difference tables – Divided differences and finite differences –Numerical integration by trapezoidal and Simpson’s 1/3 and 3/8 rules – Romberg’s method – Two and Three point Gaussian quadrature formulas – Double integrals using trapezoidal and Simpsons’s rules.

**INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS**

Single step methods: Taylor series method – Euler and modified Euler methods – 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.

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