BASICS
OF MATLAB
Starting MATLAB,Help, Simple, Functions, Output, Algebra Vectors, Graphs, Interrupting, Syntax, Suppressing Output, Defining Matrices, Size of Matrix, The Identity Matrix, Specialized Matrices ,Diagonal Matrices, The ,Manipulating Matrices, Matrices, matrix Multiplication, String Arrays, Printing Output,MATLAB Scripting Language: M-File MATLAB Search Path, Path Management, and Startup ,File, Function, Errors.
FORMULATION OF PHYSICAL PROBLEMS
Mathematical statement of the problem, Representation of problems, Formulation on extraction in single & multiple stages, Radial heat transfer through a cylindrical conductor, salt accumulation in stirred tank.
INITIAL VALUE PROBLEMS
Initial value problems for ordinary differential equations-Euler’s method, Trapeziodal method, Runge Kutta methods for second and fourth order , interpolation, Newton-cotes integration, Gaussian quadrature.
NUMERICAL OPTIMIZATION AND PARAMETER ESTIMATION TECHNIQUES
Methods for constrained and unconstrained optimization- Lagrangian methods, Simplex, Newton line search method, Trust region Newton method, Single response linear regression, least square regression, Applications- Fitting a kinetic rate law to time dependent data.
BOUNDARY VALUE PROBLEMS
Introduction to boundary value problems, shooting method, finite difference method, finite volume method, finite element method. Applications of BVP-Chemical reaction and diffusion in a spherical catalyst, finite differences for a convection, diffusion equation.
- Teacher: Venkatesan D