Topic

No. of hours

Lecture

Tutorial/Practical

theory for Runge-Kutta methods.

6

3

3

 Finite difference and spectral methods for time-dependent problems.

6

3

3

Hyperbolic and parabolic systems.

6

3

3

Stability and convergence theories for linear and nonlinear problems.

6

3

3

Fixed-point iteration.

Newton-Raphson iteration.

6

3

3

Existence and uniqueness theorem for initial value problems.

6

3

3

Finite difference methods for elliptic problems.

6

3

3

Elliptic Problems and the Finite Element Method.

6

3

3

Order and convergence of the general explicit.

6

3

3

Boundary – value problems: Finite difference methods.

6

3

3

Boundary – value problems: he cubic Spline Method.

6

3

3

Numerical solutions of nonlinear system of equations.

6

3

3

Numerical solutions to partial differential.

equations: Elliptic partial differential equations.

6

3

3

Numerical solutions to partial differential  equations: parabolic partial differential equation.

6

3

3