Home > Numerical methods

1. Find a root an equation using
1. Bisection Method
2. False Position Method
3. Fixed Point Iteration Method
4. Newton Raphson Method
5. Secant Method
6. Muller's Method
7. Halley's Method
8. Steffensen's Method
9. Ridder's Method
10. Birge-Vieta method (for `n^(th)` degree polynomial equation)
11. Bairstow method
2. Find roots of non-linear equations using
Modified Newton Raphson method (Multivariate Newton Raphson method)
3. Numerical Interpolation using
1. Newton's Forward Difference formula
2. Newton's Backward Difference formula
3. Newton's Divided Difference Interpolation formula
4. Lagrange's Interpolation formula
5. Lagrange's Inverse Interpolation formula
6. Gauss Forward formula
7. Gauss Backward formula
8. Stirling's formula
9. Bessel's formula
10. Everett's formula
11. Hermite's formula
12. Missing terms in interpolation table
4.1 Numerical Differentiation using
1. Newton's Forward Difference formula
2. Newton's Backward Difference formula
3. Newton's Divided Difference formula
4. Lagrange's formula
5. Stirling's formula
6. Bessel's formula

4.2 Numerical Differentiation first order and second order using
1. 2 point Forward, Backward, Central difference formula
2. 3 point Forward, Backward, Central difference formula
3. 4 point Forward, Backward, Central difference formula
4. 5 point Forward, Central difference formula

4.3 Richardson extrapolation formula for differentiation
5. Numerical Integration using
1. Left Riemann Sum
2. Right Riemann Sum
3. Midpoint Rule
4. Left endpoint approximation
5. Right endpoint approximation
6. Trapezoidal Rule
7. Simpson's 1/3 Rule
8. Simpson's 3/8 Rule
9. Boole's Rule
10. Weddle's Rule
6.1 Solve (1st order) numerical differential equation using
1. Euler method
2. Runge-Kutta 2 method
3. Runge-Kutta 3 method
4. Runge-Kutta 4 method
5. Improved Euler method / Modified Euler method
6. Midpoint Euler method
7. Taylor Series method
8. Adams bashforth predictor method
9. Milne's simpson predictor corrector method

6.2 Solve (2nd order) numerical differential equation using
1. Euler method
2. Runge-Kutta 2 method
3. Runge-Kutta 3 method
4. Runge-Kutta 4 method
5. Improved Euler method / Modified Euler method
6. Midpoint Euler method
7. Taylor Series method
7. Cubic spline interpolation





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