The following course contents will be covered through 35 hrs of lectures and tutorial cum laboratory sessions followed by 5 hours of evaluation:
Unit 1 - General introduction and introduction to computer programming
Unit 2 – Introduction to PDEs, Classification of PDEs.
Unit 3 – Introduction to Numerical methods.
Unit 4 – Optimization techniques, Optimization techniques using software.
Unit 5 – Analytical solution of hyperbolic PDEs.
Unit 6 – Numerical solution of hyperbolic PDEs.
Unit 7 – Analytical solution of Elliptic PDEs.
Unit 8 – Numerical solution of Elliptic PDEs.
Unit 9 – Analytical solution of Parabolic PDEs.
Unit 10 – Numerical solution of Parabolic PDEs.
Unit 11 – Laplace transforms to solve PDEs.
Unit 12 – Fourier transforms to solve PDEs.
- The need of analytical and numerical methods in experimental research works will also be demonstrated.
- Sample programs will be supplied to the participants.