Numerical methods are an essential part of scientific and engineering research, used to solve complex mathematical problems that are difficult or impossible to solve analytically. MATLAB is a powerful software package used extensively in numerical analysis and scientific computing. In Read more
The Secant Method is a numerical algorithm used to find the roots of a function. It is similar to the Newton-Raphson method, but instead of using the derivative of the function, it uses an approximation of the derivative based on Read more
The Simpson 3/8 Rule is a numerical integration method used to approximate the definite integral of a function. It is based on the approximation of the function by a cubic polynomial, using three equally spaced points. The formula for the Read more
Simpson’s 1/3 rule is a numerical integration technique used to approximate the definite integral of a function. It is based on approximating the area under a curve by fitting parabolic arcs to small sections of the curve. The formula for Read more
The Newton-Raphson method is a numerical method used for finding the roots of a differentiable function. It is an iterative method that starts with an initial guess of the root and refines the guess with each iteration until the desired Read more
The Euler method is a simple numerical method for approximating solutions to ordinary differential equations (ODEs). It works by approximating the solution at each time step using the slope of the tangent line at the current point. The basic idea Read more
The fixed point iteration method is a numerical algorithm used to find the roots of a given function. It is a simple iterative method that can be used to solve a wide variety of problems in mathematics and engineering. The Read more
The Bisection Method is a numerical method used to find the root of a function. It is a simple and robust method that works by repeatedly dividing an interval in half and checking which half the root lies in, and Read more
The trapezoidal rule is a numerical integration technique used to approximate the definite integral of a function. It is a simple and widely used method that involves approximating the area under the curve of the function by approximating it as Read more
