## MA8491NM Syllabus

Anna University Regulation 2017 EEE MA8491 NM Syllabus for all 5 units are provided below. Download link for EEE 4th SEM MA8491 NUMERICAL METHODS Engineering Syllabus is listed down for students to make perfect utilization and score maximum marks with our study materials.

### Anna University Regulation 2017 Electrical and Electronics Engineering(EEE) 4th SEM MA8491 NM-NUMERICAL METHODS Engineering Syllabus

MA8491 NUMERICAL METHODS
OBJECTIVES :

 To introduce the basic concepts of solving algebraic and transcendental equations.  To introduce the numerical techniques of interpolation in various intervals in real ife
 situations.  To acquaint the student with understanding of numerical techniques of diferentiation and
integration which plays an important role in enginering and technology disciplines.  To acquaint the knowledge of various techniques and methods of solving ordinary diferential
equations.  To understand the knowledge of various techniques and methods of solving various types of
partial diferential equations.
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 – Gaus elimination method – Pivoting – Gaus Jordan method – Iterative methods of Gaus Jacobi and Gaus Seidel – Eigenvalues of a matrix by Power method and Jacobi’s method for symmetric matrices.

UNIT II INTERPOLATION AND APPROXIMATION
Interpolation with unequal intervals – Lagrange’s interpolation – Newton’s divided diference interpolation – Cubic Splines – Diference operators and relations – Interpolation with equal intervals – Newton’s forward and backward diference formulae.

UNIT III NUMERICAL DIFFERENTIATION AND INTEGRATION
Aproximation of derivatives using interpolation polynomials – Numerical integration using Trapezoidal, Simpson’s 1/3 rule – Romberg’s Method – Two point and thre point Gausian 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 – Modifed Euler’s method – Fourth order Runge – Kuta method for solving first order equations – Multi step methods – Milne’s and Adams – Bash forth predictor corector methods for solving first order equations.
UNIT V BOUNDARY VALUE PROBLEMS IN ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS
Finite diference methods for solving second order two – point linear boundary value problems – Finite diference techniques for the solution of two dimensional Laplace’s and Poison’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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