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Course Weekly Lecture Plan

Week Topic
1 ODEs – Serial solution, Euler method
ODEs – Runge-Kutta methods. Multi step methods
ODEs –High degree equations
ODEs – Boundary value problems, shooting, finite difference method
PDEs – Elliptic equations, direct techniques
PDEs - Elliptic equations, iterative techniques, ADI method
PDEs - Parabolic equations, explicit and implicit methods
PDEs - Parabolic equations, Crank-Nicolson scheam
PDEs - Hyperbolic equations, oscillating spring problem
PDEs - Hyperbolic equations, D’Alembert solution
Basics of finite volume techniques
Convection problems
Convection-diffusion techniques
Convection-diffusion techniques (cont.)
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