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Nebras Jalel Ibrahim
Diyala University, Computer Center, Diyala

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Physics-Informed Neural Networks for Solving Maxwell’s Equations in Electromagnetic Wave Propagation Maryam Nihad Salem; Nebras Jalel Ibrahim; Walaa Badr Khudhair; Hassan Al-Mahdawi; Zainab Hassan Mohammed; Zainab khazal Shamel; Alaulddin Mueen Latfa
Academia Open Vol. 10 No. 2 (2025): December
Publisher : Universitas Muhammadiyah Sidoarjo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21070/acopen.10.2025.12939

Abstract

General background: Electromagnetic wave modeling is essential for modern communication systems, yet classical numerical solvers such as FDTD, FEM, and MoM often face high computational cost and meshing limitations. Specific background: Recent advances in physics-informed machine learning offer new approaches to solving Maxwell’s equations through continuous, mesh-free models. Knowledge gap: Despite growing interest, the performance, accuracy, and scalability of Physics-Informed Neural Networks (PINNs) for full-wave electromagnetic propagation remain insufficiently validated against established numerical solvers. Aims: This study develops a PINN framework that embeds Maxwell’s PDEs, initial conditions, and boundary constraints directly into a unified loss function to model one-dimensional wave propagation. Results: The proposed PINN achieves <1% relative error compared with an FDTD reference, demonstrates stable convergence, accurately reproduces wave propagation and reflections, and performs 100× faster during inference while using 40% less memory. Novelty: The model provides a continuous, differentiable electromagnetic field representation without discretization, enabling physically consistent predictions and fast generalization to different boundaries or materials. Implications: These results highlight PINNs as a promising mesh-free alternative for real-time electromagnetic analysis, with scalability toward higher-dimensional waveguides, antennas, and inverse design applications.Highlight : PINNs incorporate Maxwell’s PDE residuals directly into training to ensure physically consistent electromagnetic field predictions. The model achieves accuracy comparable to classical solvers while reducing computational load and avoiding mesh constraints. Results demonstrate reliable wave propagation, reflection behavior, and high numerical stability within the simulated domain. Keywords : Physics-informed neural networks, Maxwell’s equations, electromagnetic propagation, wave modeling, mesh-free computation
A Hybrid Transformer–BiLSTM–Attention Framework for High Accuracy Multivariate Air Quality Prediction Nebras Jalel Ibrahim
Academia Open Vol. 11 No. 1 (2026): June
Publisher : Universitas Muhammadiyah Sidoarjo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21070/acopen.11.2026.13837

Abstract

General Background: Air pollution has become a critical global issue affecting environmental sustainability and public health, creating a strong demand for accurate air quality prediction systems. Specific Background: Traditional statistical models and conventional machine learning techniques often struggle to capture the nonlinear and multivariate characteristics of environmental data, particularly when dealing with complex temporal dependencies. Knowledge Gap: Many existing forecasting approaches focus primarily on either short-term sequential learning or long-range temporal modeling, which limits their ability to represent both bidirectional temporal patterns and long-term dependencies in multivariate air quality datasets. Aims: This study proposes a hybrid deep learning framework integrating Transformer, Bidirectional Long Short-Term Memory (BiLSTM), and an Attention mechanism for accurate multivariate air quality prediction. Results: Experiments conducted on the UCI Air Quality dataset demonstrate that the proposed model achieves superior predictive performance with RMSE of 0.0799, MAE of 0.0589, and R² of 0.9621, outperforming baseline models such as standalone Transformer and BiLSTM architectures. Novelty: The proposed framework combines global temporal dependency modeling from Transformer encoders with bidirectional sequence learning from BiLSTM and adaptive temporal weighting through the attention mechanism. Implications: The framework provides a reliable computational approach for environmental monitoring systems, supporting intelligent air quality forecasting, early warning mechanisms, and data-driven environmental decision-making. Highlights Hybrid architecture captures both long-range temporal dependencies and bidirectional sequence relationships in environmental data. Multivariate forecasting shows strong predictive consistency across several pollutants and meteorological variables. Experimental evaluation reports very low prediction errors and strong statistical correlation with observed measurements. Keywords: Air Quality Prediction, Multivariate Time Series, Hybrid Deep Learning, Transformer BiLSTM Model, Environmental Monitoring