NUMERICAL METHOD USING MATLAB (Optional Paper)
Basics of MATLAB: Matlab window, on-line help, input-output, File types, General commands.Matrices and vectors, operations, character strings, Command-line functions, Built-in functions,
Saving & loading Data, Plotting simple graphs.
Simple computer programming in Matlab: Script files and function files, Language-specific Features, Advance Data object, Graphics (2D & 3D), Errors messages in MATLAB.
Solution of Algebraic and Transcendental Equations using MATLAB : Bisection Method,Method of False Position, Iteration Method, Newton-Raphson Method and The Secant Method.
Computational Techniques using MatLab: Matrix Operations in MatLab, Solution of a linear systems AX = B; Jacobi Iteration Method, Gauss-Seidel Iteration Method, Curve-fitting.
MATLAB Programming: Solution of Differential equations: Euler’s Method, Heun’s Method, Runge – kutta Method. Numerical Integration: Trapozoidal, Simpson’s 1/3 and Simpson’s 3/8.
- Rudra Pratap, Getting Started with MATLAB: A quick introduction for scientists and engineers, oxford university press,2010.
- John H. Mathews and Kurtis D. Fink, Numerical Methods using MATLAB, PHI (2009).
- S.S. Sastry, Introductory Methods of Numerical Analysis, Prentice-Hall of India (1979).
- V. Rajaraman, Computer Oriented Numerical Methods, PHI, 1993.
- A Ralston and P. Rabinowitz, A First Course in Numerical Analysis, McGraw Hill (1985).
- Brian R.Hunt, Ronald L. Lipsman, Jonathan M. Rosenberg, A Guide to MATLAB, Cambridge University Press.
