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

An Extreme Learning Machine Technique for the Numerical Solution of Fractional Differential ...

Abstract: This research intends to create a novel approach for solving fractional differential equations (FDEs) of both linear and nonlinear types utilizing the fractional shifted Legendre neural ...
GitHub

Deep Galerkin Method (DGM)

This repository provides implementations of the Deep Galerkin Method (DGM) for solving differential equations using deep learning. The method is an extension of traditional numerical techniques such ...
Scientific Research Publishing

Two to Six Dimensional Numerical Solutions to the Poisson Eigenvalue Partial Differential ...

1 Convergent Solutions, Livermore, CA, USA. 2 Advanpix, LLC, Yokohama, Japan. The more familiar practical applications of integral and partial differential equations occur in two- or three-dimensional ...