PREV

• Week 01: Classification of linear/non-linear second orders ODEs. Discuss the types of boundary conditions
• Week 02-03: Theory and implementation of numerical methods for initial and boundary value problems in ordinary differential equations.
• Week 04-05: One-step, linear multi-step, Runge-Kutta, and Extrapolation methods; convergence
• Week 06-07: stability, B-spline collocation methods for numerical solution of initial and boundary values problems
• Week 08: B-spline for solving class of singular and non-singular problems
• Week 09: Mid Term Exam
• Week 10: B-spline for solving class of singular and non-singular problems
• Week 11-13: Trigonometric B-spline approach for solving second order system of linear/non-linear ODEs.
• Week 14-15: B-spline solution for nonlinear differential equation arising in general relativity
• Week 16-17: Bratu’s problem, Perturbation’s problem
• Week 18: Final Term Exam