Applied_Numerical_Methods_MAT_3005

Applied Numerical Methods MAT3005

List of Programs

1. Algebraic and Trancedental Equations

S.no	Name of the Method
1	Iterative Method
2	Secant Method
3	Newton Raphson Method
4	Newton Method for System of Non-Linear Equations

2. System of Linear Equations and Eigen Value Problems

S.no	Name of the Method
1	Gauss Seidal Method
2	Triangulation (LU Decomposition) Method
3	Thomas (Tri-diagonal) Method
4	Power Method
5	Jacobi Method

3. Interpolation

S.no	Name of the Method
1	Newton's Forward Interpolation Method
2	Newton's Backward Interpolation Method
3	Lagrange's Interpolation Method
4	Lagrange's Inverse Interpolation Method
5	Newton's Divided Difference Interpolation Method
6	Stirling's Central Interpolation Method
7	Cubic Spline Interpolation Method

4. Numerical Differentiation and Integration

S.no	Name of the Method
1	Differentiation by Newton's Forward Difference Formula
2	Differentiation by Newton's Backward Difference Formula
3	Differentiation by Newton's Divided Difference Formula
4	Trapezoidal Rule Integration
5	Simpson's One Third Rule Integration
6	Simpson's Three Eighth Rule Integration
7	Romberg's Method Integration
8	Two Point Gaussian Quadrature Formula Integration
9	Three Point Gaussian Quadrature Formula Integration

5. Numerical Solution of Ordinary Differential Equation

S.no	Name of the Method
1	Fourth Order Runge Kutta Method for First order ODE
2	Fourth Order Runge Kutta Method for Second order or Simultaneous First order ODE
3	Adams Bashforth Moulton Predictor Corrector Method

6. Numerical Solutions to Partial Differential Equation

S.no	Name of the Method
1	Solving Second Order PDE of Elliptic Nature