GATE MA Syllabus 2025: IIT Roorkee has released the GATE Syllabus for Mathematics with the official brochure. Get the direct link to download GATE Mathematics syllabus PDF on this page.

There are many numerical methods used for the integration of the Equation (2); the Runge-Kutta method has been designed to solve first-order differential equations (Es-hagh 2005).This method (the R-K ...

This repository contains a Python implementation for solving ordinary differential equations (ODEs) using various numerical methods, including the Euler method, Heun's method, the Midpoint method, and ...

Numerical methods, such as the 4th-order Runge-Kutta method, estimate solutions to the autonomous Hamiltonian equations that govern a system. We simulate the motion of a double pendulum, enabling the ...

This is the documentation for the repository of the homework 4 Mathematical_pendulum_using_the_Runge_Kutta_method.jl of the Numerical Methods course. The documentation is divided into two parts. The ...

We implement time schemes such as forward Euler and Runge-Kutta methods to compute solutions in the spectral space. After obtaining solutions in this space, the inverse Fast Fourier Transform yields ...

where method denotes the numerical method used to integrate the ODE function, and dt controls the initial or default numerical integration step. A variety of numerical integration methods for ODEs, ...