1887

Abstract

Summary

Recently, a lot of papers proposed to use neural networks to approximately solve partial differential equations (PDEs). Yet, there has been a lack of flexible framework for convenient experimentation. In an attempt to fill the gap, we introduce a DEEPGALERKIN-model from BATCHFLOW-framework, open-sourced on GITHUB. Coupled with capabilities of BATCHFLOW, DEEPGALERKIN-model allows to 1) solve partial differential equations from a large family, including heat equation and wave equation 2 ) easily search for the best neural-network architecture among the zoo, that includes RESNET and DENSENET 3) fully control the process of model-training by testing different point- sampling schemes. With that in mind, our main contribution goes as follows: implementation of a ready-to-use and open-source numerical solver of PDEs of a novel format, based on neural networks.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201902330
2019-09-08
2024-04-20
Loading full text...

Full text loading...

http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201902330
Loading
/content/papers/10.3997/2214-4609.201902330
Loading

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error