Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...

Learn how to solve boundary value problems in Python using the finite difference method! 🐍📐 This tutorial walks you step-by-step through setting up the problem, discretizing the domain, and ...

ABSTRACT: We present a Lie symmetry classification of 2D proper-time Maxwell’s equations, deriving an 8-dimensional Lie algebra and constructing rotationally invariant Bessel function solutions and ...

The mGFD (meshless Generalized Finite Differences) repository provides a comprehensive solution for numerically solving Partial Differential Equations in two dimensions on highly irregular regions.

Abstract: In recent engineering applications using deep learning, physics-informed neural network (PINN) is a new development as it can exploit the underlying physics of engineering systems. The ...

A novel stochastic numerical scheme is introduced to solve stochastic differential equations. The development of the scheme is based on two different parts. One part finds the solution for the ...

On August 31st, 2023, Netflix released their live-action adaptation of One Piece to mixed, but overall positive, reactions from fans. We all know the many ways in which live-action adaptations can go ...

Abstract: Discovering the underlying behavior of complex systems is an important topic in many science and engineering disciplines. In this paper, we propose a novel neural network framework, finite ...