In this research, the Differential Transformation Method (DTM) has been utilized to solve the hyperbolic Telegraph equation. This method can be used to obtain the exact solutions of this equation. In ...
Background Art interventions may provide a cost-effective approach to improving mental well-being. Most evaluations concentrate on intervention characteristics and little is known about other factors ...
Abstract: In this paper, the differential transformation (DT) is applied to the dynamic analysis of multi-machine systems, whose solution is numerically obtained by solving a set of ...
Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...
The author of “Moonglow” and “The Yiddish Policeman’s Union” has a method for solving, and he’s sharing it with other puzzle lovers on Threads. By Deb Amlen The first thing I learned from Michael ...
The fractional-order nonlinear Gardner and Cahn–Hilliard equations are often used to model ultra-short burst beams of light, complex fields of optics, photonic transmission systems, ions, and other ...
This is a companion repository, with all the code for the simulations presented in the article "Strong order-one convergence of the Euler method for random ordinary differential equations driven by ...
Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...