Topic

No. of hours

Lecture

Tutorial/Practical

 Numerical differentiation.

3

3

Interpolation of functions.

3

3

Order and convergence of the general explicit.

3

3

quadrature formulas.

3

3

Numerical Methods for ODEs.

3

3

Runge Kutta Methods for ODEs.

3

3

taylor's method for ODEs.

3

3

picard's method for ODEs.

3

3

Euler's method for ODEs.

modified euler.

3

3

- Lagrange interpolation formula.

General interpolation Formula.

3

3

Newton's formula for interpolation, Gauss, Sterling, Bessel's.

3

3

stability and convergence analysis.

3

3

 difference equations, multistep methods, consistence.

3

3

Difference Methods for Ordinary Differential Equations.

3

3