Abstract <p>This paper presents a comprehensive analysis of training strategies for finite basis physics-informed neural networks (FBPINNs). We implement four distinct training approaches and evaluate them on six differential equations. Experimental results demonstrate that dependent simultaneous training achieves the highest accuracy but requires significant computational resources. We provide code on github and practical recommendations for selecting strategies based on problem complexity and resource constraints.</p>

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Analysis of Training Strategies for Finite Basis PINNs (FBPINNs)

  • P. G. Alimov,
  • V. I. Gorikhovskii

摘要

Abstract

This paper presents a comprehensive analysis of training strategies for finite basis physics-informed neural networks (FBPINNs). We implement four distinct training approaches and evaluate them on six differential equations. Experimental results demonstrate that dependent simultaneous training achieves the highest accuracy but requires significant computational resources. We provide code on github and practical recommendations for selecting strategies based on problem complexity and resource constraints.