@article{advancedphysicsinformedneuralnetworkwith,
  title = {Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations},
  author = {Mahdi Movahedian Moghaddam and Kourosh Parand and Saeed Reza Kheradpisheh},
  year = {2025},
  eprint = {2501.16370},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2501.16370v2},
}