Computer Applications in Materials Science for B.Tech 7th sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.<\/p>\n
The detailed syllabus for Computer Applications in Materials Science B.Tech (R13) seventhsem is as follows<\/p>\n
OBJECTIVES<\/strong>:<\/p>\n Computer applications have become important to solve, approximate, interpret and visualize problems in Materials Science. After reviewing the mathematical foundation, applications in Materials Science are introduced.<\/p>\n UNIT I : SOLUTIONS OF EQUATIONS AND INTERPOLATION \u00a0<\/strong> [9 Hours] UNIT II : PARTIAL DIFFERENTIAL EQUATIONS<\/strong> \u00a0 \u00a0[9 Hours] UNIT III : MONTE CARLO METHODS AND SIMULATION<\/strong> \u00a0 \u00a0[9 Hours]
\nApplication for the fitting and interpolation of experimental data in Materials Science Roots of equations \u2013 Methods of bisection and false position \u2013 Newton-Raphson method \u2013 Simultaneous equations \u2013 Gauss elimination \u2013 Gauss Jordan method – Newton\u2019s and Langrange\u2019s interpolation methods.<\/p>\n
\nApplications in diffusion and mass transport in materials. Type of equations \u2013 Elliptic equations \u2013 Laplace\u2019s equation \u2013 Hyperbolic equations \u2013 Wave equations \u2013 The Lax method \u2013 Eulerian and Lagrangian methods – Parabolic Equations \u2013 Diffusion \u2013 The Dufort-Frankel Method \u2013 Conservative methods \u2013 The Equation of continuity\u2013 The Diffusion equations.<\/p>\n
\nMonte Carlo Method for simulating nucleation and growth of grains in materials. Monte Carlo \u2013 Random Number Generators \u2013 Monte-Carlo Integration \u2013 The Metropolis Algorithm \u2013 Thermodynamic Averages \u2013 Quantum Monte-Carlo \u2013 Molecular Dynamics \u2013 General Principles.<\/p>\n