1
|
Root finding
Bisection Methods, False position Methods, Newton – Raphson Methods, Secant Methods and Successive Approximation Methods
|
|
|
2
|
Interpolation Techniques
Newton’s interpolation methods for forward interpolation, backward interpolation and Newton’s divided interpolation method, Langrange’s interpolation methods, Stirling’s interpolation methods, Cubic spline interpolation, interpolation by iteration
|
|
|
3
|
Numerical Integration
Trapezoidal rule, Simpson’s 1/3rd and 3/8th rule, Weddle’s rule
|
|
|
4
|
Solution of system of linear equations using Numerical Techniques
Gauss – Jacobi iterative methods, Gauss – Seidel iterative methods
|
|
|
5
|
Numerical Solution of Ordinary differential equations
Solution of Initial value problems by Taylor’s series, Picard’s methods of successive approximation, Runge – Kutta Method of order 2 and 4, Solution of Boundary value problems by Finite – Difference Methods, Shooting methods
|
|
|
6
|
Numerical Solution of Partial differential equations
Finite difference approximation to derivatives, solution of Laplace equation, Successive over-relaxation methods, parabolic equations
|
|
|
7
|
Curve Fitting
Least square curve fitting procedures for linear and non linear curves
|
|
|
8
|
Finite Element methods
Methods of Approximation - Rayleigh – Ritz Method, Galerkin Methods
|
|
|