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 ...
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In numerous physical and biological systems, differential equations with parameters are commonly used to model specific behaviors or phenomena. These parameters frequently represent physical ...
A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...
Abstract: This paper presents the critical-point-based stability analyses of finite-difference time-domain (FDTD) methods for Schrödinger equation incorporating vector and scalar potentials. Most ...
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This Project is based on the Galerkin method of solving differencial equations. A weak formulation of the Schrodinger equation is used with a set of basis functions to break the continuous ...
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