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...
Category: Advanced Mathematics
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 –...
Testing convergence of a sample Logarithmic series using Leibnitz’s rule
Below is the solution to test convergence of a sample Logarithmic series –...
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!...
Finding measure of skewness and kurtosis for Poisson distribution
Here we define what Poisson Distribution is how to measure its skewness and kurtosis....
Proving Inversion Mapping
Here we venture to prove that Inversion Mapping maps the totality of circles lines in the Z plane on to the same that of W plane...
Find 4th Root of 1 and Square root of -8i
Here is an interesting solution to find nth root of a complex number Z. Here we use a general equation to find the 4th root...
Finding Linear Fractional Transformation
Ok, here is a beautiful mathematical solution to find the Linear Fractional Transformation which maps |Z| <= 1 on to |W| <=1 such that Z =...
Transformation of W=eZ
Here we discuss transformation of W = eZ...
Forming a Bi-Linear Transformation which maps a set of points
Here is a mathematical solution for forming a Bi-Linear Transformation which maps the points (1, i,-1) onto the points (i,0,-i) and hence finding the image of...
How to determine which mathematical functions are analytic
Here is the solution on how to determine if a mathematical function is analytic –...
Mathematical solution for checking a certain function satisfy Laplace Equation
Here is an attempt to check if a function satisfies Laplace Equation and determining corresponding analytical function –...
Locus of a point Z satisfying condition |Z-1| + |Z+1| = 4
Here is a fun solution for Mathematics students to find the locus of a point Z satisfying condition |Z-1| + |Z+1| = 4 – ...
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...