In this paper, we propose a universal approach to solve. PDEs with a point source based on the PINNs method. Our approach does not rely on any labeled data ...
PDEs with a point source that is expressed as a Dirac delta function in the governing equations are mathematical models of many physical processes. However, ...
... (PINNs)method emerges to be a promising method for solving both forward and inverse PDE problems. PDEs with a point source that is expressed as a Dirac delta ...
In recent years, deep learning technology has been used to solve partial differential equations (PDEs), among which the physics-informed neural networks ...
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In this paper, we propose a universal solution to the point source PDE problem based on PINNs method. The proposed method does not rely on any labeled data ...
A universal solution to tackle partial differential equations with a Dirac delta function modeled as a continuous probability density function to eliminate ...
... PINNs method to solve the Poisson equation with a point source ... “A Universal PINNs Method for Solving Partial Differential Equations with a Point Source”.
Nov 2, 2021 · We propose a universal approach based on the PINNs method that can solve the PDEs with a point source without any specific assumptions. The ...
Nov 2, 2021 · We propose a universal solution to tackle this problem with three novel techniques. ... We evaluate the proposed method with three representative ...
In recent years, deep learning technology has been used to solve partial differential equations (PDEs), among which the physics-informed neural networks (PINNs) ...