9
|
Polynomial interpolation, Lagrange’s interpolation polynomial - divided differences Newton’s divided difference interpolation polynomial - error of interpolation
|
2
|
10
|
Finite difference operators - Gregory – Newton forward and backward interpolations - Stirling’s interpolation formula – interpolation with a cubic spline
|
2
|
11
|
Numerical differentiation - differential formulas in the case of equally spaced points
|
2
|
12
|
Numerical integration - trapezoidal and Simpson’s rules - Gaussian integration - errors of integration formulas
|
2
|
13
|
Numerical solution of ordinary differential equations, The Taylor series method - Euler and modified Euler methods
|
2
|
14
|
Runge–Kutta methods (2ndorder and 4th order only)
|
2
|
15
|
Multistep methods - Milne’s predictor - corrector formulas
|
2
|
16
|
Solution of boundary value problems in ordinary differential equations
|
4
|
17
|
Finite difference methods for solving two dimensional Laplace’s equation for a rectangular region
|
4
|
18
|
Finite difference method of solving heat equation and wave equation with given initial and boundary conditions
|
4
|
19
|
Introduction to partial differential equation(PDE)
|
4
|
20
|
Parabolic partial differential equation
|
4
|
21
|
Elliptic partial differential equation- Finite element methods
|
4
|
|
