Category: Numerical Analysis

C program to evaluate the 1st derivative of a function at any given point

Writing C programs for numerical differentiation is interesting and fun. Here is one that I wrote years back. Enjoy!  ...

Gregory Newton Backward Interpolation Method

Gregory Newton Backward Interpolation Method can be used to derive difference formula when the x values are at equidistant intervals and the value to be...

C Program to evaluate forward difference

Below is a C program to evaluate forward difference and thus print a forward difference table for n function values –...

Reducing Lagranges interpolation formula to Linear interpolation

Below is an amazing solution to prove that when n=2, Lagranges interpolation formula reduces to Linear interpolation –...

Discussing Convergence of Iteration and Newton Raphson Methods

We use various Numerical methods to solve algebraic and transcendental equations. All these methods converge the result to a single root after various approximations specific...

Solving Equations by Jacobi’s Iteration Method

Jacobi’s Iteration method is an interesting method to solve equations by simple iteration method. Here is an example –  ...

Solving a set of equations using Gauss Seidal Elimination Method

Here is an excellent example of Gauss Seidal elimination method to solve a set of equations –...

Finding Inverse of a Matrix using Gauss Elimination Method

Here is an intelligent and simple way to find the inverse of a matrix using Gauss Elimination method –...

Gauss Jordan Elimination Method

Here is a well explained solution to solve a set of equations using Gauss Jordan Elimination method –...

Gauss Elimination Method

Below is a well explained solution for a set of equations using Gauss Elimination method. Enjoy!  ...

Finding Roots of equation x3-3×2+x+1=0

We will be using Newton Raphson method to find the root of this equation. Enjoy!...

Find a root of x = e-x using Regular Falsi Method

Regular Falsi method is a numerical method to derive the root of a polynomial. The advantage of Regular Falsi over Bisection method is that the convergence...

Find a root of x = e-x using Bisection Method

Bisection method is the most simplest method of solving algebraic or transcendental equations. It involves selecting an interval [a,b] in which the root lies such...

Newton Raphson Method Example – Find root of e-x = Sin X

Newton Raphson method is the core in computer Numerical analysis software programs to find root of equations such as e<sup>-x</sup> = Sin X. Complete solution is...

Numerical solution of a transcendental equation 1.5x – tanx – 0.1 = 0

Solving 1.5x – tanx – 0.1 = 0,  using iteration method – Iteration is a method of solving algebraic or transcendental equation and is widely used...

Numerical solution by method of Iteration

Solving x = 1/ (1+x)1/2 using iteration method – Iteration is a method of solving algebraic or transcendental equation and is widely used in computer...