Scientific Research Publishing

On One-Step Method of Euler-Maruyama Type for Solution of Stochastic Differential Equations Using Varying Stepsizes ()

1 Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria. 2 Mathematics Department, Adeyemi College of Education, Ondo, Nigeria. 3 Department of Statistics, Federal ...
Scientific Research Publishing

Mean Square Solutions of Second-Order Random Differential Equations by Using the Differential Transformation Method ()

The object of this work is to describe how to implement the differential ‎transformation method (DTM) for finding exact and approximate solutions of ‎the second-order random differential equations. To ...
GitHub

Solving Ordinary Differential Equations Numerical Method Implementation in Python

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 ...
IEEE

A Study on Advanced Techniques for Fractional Differential Equations: Integrating the Frobenius Method, ZZ Transform, and Diverse Machine Learning Approaches

Abstract: This study explores fractional differential equations using fractional calculus techniques, extending the traditional Frobenius method with approaches like the ZZ transform and binomial ...
The Express Tribune

Physics: Pakistani recognised for presentation on Frobenius method

Amna Noreen, a PhD candidate at the Section for Theoretical Physics, in Norwegian University of Science and Technology, was one of the two students awarded a certificate of merit for a presentation on ...
Nature

Integrable Systems And Differential Equations

Integrable systems and differential equations are fundamental areas of study in mathematics and physics, focusing on systems that can be solved exactly. These systems often exhibit rich structures and ...