Paper 4 Practical

Laboratory : Credit 1 (The aim of this Lab is to use the computational methods to solve physical problems. Course will consist of lectures (both theory and practical) in the Lab. Evaluation done not on the programming but on the basis of formulating the problem.)

Syllabus

• Introduction to Numerical computation software Scilab: Introduction to Scilab, Advantages and disadvantages, Scilab computation software Scilab environment, Command window, Figure window, Edit window, Variables and arrays, Initialising variables in Scilab, Multidimensional arrays, Subarray, Special values, Displaying output data, data file, Scalar and array operations, Hierarchy of operations, Built in Scilab functions, Introduction to plotting, 2D and 3D plotting.
• Branching Statements and program design, Relational and logical operators, the while loop, for loop, details of loop operations, break and continue statements, nested loops, logical arrays and vectorization.
• User defined functions, Introduction to Scilab functions, Variable passing in Scilab, optional arguments, preserving data between calls to a function, Complex and Character data, string function, Multidimensional arrays.
• An introduction to Scilab file processing, file opening and closing, Binary I/o functions, comparing binary and formatted functions, Numerical methods and developing the skills of writing a program.
• Curve fitting, Least square fit Goodness of fit, standard constant Deviation: Ohms law to calculate R, Hookes law to calculate spring constant
• Solution of Linear system of equations by Gauss elimination Solution method and Gauss Seidal method. Diagonalization matrices, Inverse of a matrix, Eigen vectors, problems: Solution of mesh equations of electric circuits (3 meshes), Solution of coupled spring mass systems (3 masses).
• Solution of ODE First order Differential equation Euler, modified Euler Runge-Kutta second methods Second order differential equation. Fixed difference method: First order diferential equation
  • Radioactive decay
  • Current in RC, LC circuits with DC source
    • Newtons law of cooling
    • Classical equations of motion Second order Differential Equation
  • Harmonic oscillator (no friction)
  • Damped Harmonic oscillator
  • Over damped
  • Critical damped
  • Oscillatory
  • Forced Harmonic Oscillator
  • Transient and Steady state solution
  • Apply above to LCR circuits also

Reference Books:

• Mathematical Methods for Physics and Engineers, K. F. Riley, M. P. Hobson and S. J. Bence, 3rd ed., 2006, Cambridge University Press.
• Complex Variables, A. S. Fokas and M. J. Ablowitz, 8th Ed., 2011, Cambridge Univ. Press.
• First Course in Complex Analysis with Applications, D. G. Zill and P. D. Shanahan, 1940, Jones and Bartlett.
• Simulation of ODE/PDE Models with MATLAB, OCTAVE and SCILAB: Scientific and Engineering Applications: A. V. Wouwer, P. Saucez, C. V. Fernndez. 2014 Springer.
• Scilab by example: M. Affouf 2012, ISBN: 978-1479203444
• Scilab (A free software to Matlab): H. Ramchandran, A. S. Nair. 2011, S. Chand and Company.
• Scilab Image Processing: Lambert M. Surhone. 2010 Beta script Publishing

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Question

2022 | +3-III-S-CBCS-Sc(H)-Core-V-Phy-Pract.-R&B | FullMarks:25

Ditto as Syllabus