1st year PhD Differential Equations Course

Analytical Method for solving Nonlinear ODEs- Nonlinear ODEs by reducing order-Transformations of Nonlinear ODEs.

Analytical Approximation method – The Variational Iteration method- Application of  Variational Iteration method -The Adomian Decomposition method.

Further Analytical Approximation method-  Perturbation method – Energy balance method- Hamiltonian approach.

Differential manifold- smooth manifold- Riemannian geometry- geodesics.

Computational methods to solve ODEs and PDEs.