Differentiable Chemistry in PINNs for Solving Parameterized and Stiff Reaction Systems

• URL: http://arxiv.org/abs/2605.04708v1
• Date: Wed, 06 May 2026 09:59:05 GMT
• Title: Differentiable Chemistry in PINNs for Solving Parameterized and Stiff Reaction Systems
• Abstract summary: We introduce a differentiable chemistry solver into a modified physics-informed neural network to solve parameterized reaction systems that are inherently stiff.<n>Our results highlight the ability of the proposed approach to extend physics-informed neural networks to stiff chemical systems that were previously inaccessible.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: From neural ODEs to continuous-time machine learning, differentiable solvers allow physics, optimization, and simulation to become trainable components within deep learning systems. This has opened the path to a new generation of deep learning frameworks for scientific computing, with many promising applications still emerging. In this paper, we integrate a differentiable chemistry solver into a modified physics-informed neural network to solve parameterized reaction systems that are inherently stiff. The proposed framework introduces several key components required to overcome limitations of standard physics-informed neural networks. These include a differentiable chemistry solver, a network architecture for parameterized solutions, and residual weighting tailored to stiff reactions. We evaluate the framework on a set of differential equations related to hydrogen combustion, which include initial/boundary value problems, inverse parameter identification, and a parameterized partial differential equation. Our results highlight the ability of the proposed approach to extend physics-informed neural networks to stiff chemical systems that were previously inaccessible.

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