Euler Method for Differential Equation
Euler method is the most simple but crude method to solve differential equation of the form
\[\frac{dy}{dx}=f\left( x,y \right),~~~y\left( {{x}_{0}}
Simpson’s 1/3 rule
In Simpson’s 1/3 rule the interval [a, b] is divided into two equal sub-intervals by the points x0, x1, x2, where h
At first we deduce the general integration formula based on Newton’s forward interpolation formula and after that we will use it to formulate Trapezoidal Rule
LU Decomposition Method
LU Decomposition Method is also known as factorization or Crout’s reduction method. Let the system of linear equations be
\[Ax=b……….(1)\]
Where A,
Gauss Seidel Iteration Method
A simple modification of Jocobi’s iteration sometimes gives faster convergence, the modified method is known as Gauss Seidel method.
Let us
To find the solution of system of linear equations, in this article we will discuss Gauss-Jacobi’s iteration method.
Solution of System of Linear Equations
Generally,
