Ahmad, S., Zaman, N., Asif, M., Qasim, M., Shah, A. H., Shahzadi, A., Arshid, F. and Israr, M. (2026) “PDFP-enhanced physics-informed neural networks for solving higher-order PDEs: Application to engineering beam problems”, Mechanical Engineering Advances, 4(1). doi: 10.59400/mea4125.