GitHub

Physics-Informed Neural Network (PINN) for Error-Corrected Finite Difference Energy Balance in 1D Hydraulic Fracture Propagation

This repository contains the implementation of a Physics-Informed Neural Network (PINN)-Enhanced Finite Difference Method (FDM) for modeling energy balance in hydraulic fracture propagation. The ...
Scientific Research Publishing

Pandey, R.K. (2001) Numerical Solution of Sixth-Order Boundary Value Problems Using Finite Difference Method. Journal of Computational and Applied Mathematics, 134, 303-316.

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...
Newsweek

Homeowner’s Solution to Neighbor’s Dog Using Their Lawn as Toilet Applauded

What started as a polite request turned into a neighborhood "smear campaign" that left one pet owner rethinking his habits—and his landscaping. After asking the dog's owner, Rick, to address the issue ...
EurekAlert!

A back-analysis method of deep excavation in soft soil based on BIM-NS-ML integrated technology

An intelligent inversion framework for soil parameters in deep excavations is established by using BIM technology, finite difference method (FDM), and nondominated sorting genetic algorithm II ...
IEEE

29.2 A 21×21 Dynamic-Precision Bit-Serial Computing Graph Accelerator for Solving Partial Differential Equations Using Finite Difference Method

Abstract: Partial differential equations (PDEs) are ubiquitous in physics and engineering and used for understanding various physical phenomena, including heat, diffusion, fluid and electrodynamics, ...
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 ...