- Departments / Centres
Partial Differential equations – basic concepts – One dimensional heat flow equation - Two dimensional heat flow equation in steady flow in Cartesian and Polar coordinates.
Calculus of variations - Euler's equation - Variational problems in parametric form - Natural boundary condition – Conditional Extremum - Isoperimetric problems.
Numerical Solution of ODE’s – Euler’s, Taylor’s and Runge Kutta methods – Milne’s and Adams’ predictor-corrector methods.
Finite difference scheme for elliptic, parabolic, and hyperbolic partial differential equations.
Introduction to Finite Element Method - Rules for forming interpolation functions - Shape functions - Application to fluid flow and heat transfer problems.