|
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
|
|
