Research Articles of all Journals

Gradient-Regularized Deep Ritz Networks for Solving Elliptic PDEs: Application to the Poisson Equation

Authors: H.K. Al-Mahdawi, Aleksandra Petrovic , Sandeep Poddar

Journal: Babylonian Journal of Mathematics

Page Range: 11-18

Published On: 2026-01-10

DOI: 10.58496/BJM/2026/002

Physics-Informed Neural Networks for Solving PDEs Using Gradient-Regularized Loss Functions: Application to the Nonlinear Burgers’ Equation

Authors: H.K. Al-Mahdawi, Naif Almusallam , Vusala Muradova, Haifaa Mhammad Ali

Journal: Babylonian Journal of Mathematics

Page Range: 1–10

Published On: 2026-01-10

DOI: 10.58496/BJM/2026/001

Approximate Solution of Two-Dimensional Linear Systems of Fractional Order Partial Integro-Differential Equations Using Variational Iteration Method

Authors: Batool I. Asker, Fadhel S. Fadhel, Mohammed S. Ismael, Samsul Ariffin Abdul Karim

Journal: Babylonian Journal of Mathematics

Page Range: 92-101

Published On: 2025-05-28

DOI: 10.58496/BJM/2025/010

Graph-Theoretic Characterizations of Quasi-Idempotents in Full Order-Preserving Transformation Semigroup

Authors: Eze C, A.T Imam , M. Balarabe , Olaiya O. O

Journal: Babylonian Journal of Mathematics

Page Range: 88-91

Published On: 2025-05-28

DOI: 10.58496/BJM/2025/009