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Academic Journal

Forward and Inverse Solutions of Coupled ODEs Using AI: Lotka-Volterra System.

Authors : Sapkota, Narayan¹ ; Khattri, Khim B.¹

Source: Proyecciones - Journal of Mathematics. Feb2026, Vol. 45 Issue 1, p91-120. 30p.

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Academic Journal

Data-Driven Modeling of Boussinesq-Burgers Equations: Comparing Physics-Informed Neural Networks (PINNs) with Exact Solutions.

Authors : Shafee, Ahmad¹; Alkhezi, Yousuf² ; Jacob, Kavikumar³

Source: European Journal of Pure & Applied Mathematics. Oct2025, Vol. 18 Issue 4, p1-18. 18p.

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Academic Journal

Adaptive Grid Generation by Solving One-Dimensional Diffusion Equation Using Physics-Informed Neural Networks.

Authors : Turar, Olzhas¹ (AUTHOR); Mustafin, Maksat^1,2 (AUTHOR) ; Akhmed-Zaki, Darkhan^1,2 (AUTHOR)

Source: Algorithms. Jun2025, Vol. 18 Issue 6, p334. 18p.

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Academic Journal

Nano-fluid flow predictions in convergent/divergent channels using ANN-BLMT and physics-informed neural networks.

Authors : Aslam, Muhammad Naeem^1,2 (AUTHOR); Shaukat, Nadeem^1,2 (AUTHOR) ; Riaz, Arshad³ (AUTHOR)

Source: Journal of Thermal Analysis & Calorimetry. May2025, Vol. 150 Issue 9, p7029-7047. 19p.

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Academic Journal

A novel elliptic grid generation method based on output range-constrained neural network.

Authors : Yue, Huaijun¹ (AUTHOR); Jiang, Wentao^2,3 (AUTHOR)

Source: Mechanics of Advanced Materials & Structures. Feb2025, p1-13. 13p. 11 Illustrations, 2 Charts.

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Academic Journal

Elevator fault diagnosis based on digital twin and PINNs-e-RGCN.

Authors : Wang, Qibing¹ (AUTHOR); Chen, Luqiang¹ (AUTHOR); Xiao, Gang¹ (AUTHOR)

Source: Scientific Reports. 12/28/2024, Vol. 14 Issue 1, p1-24. 24p.

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Academic Journal

Differential Transform Method (DTM) and Physics-Informed Neural Networks (PINNs) in Solving Integral–Algebraic Equation Systems.

Authors : Brociek, Rafał¹ (AUTHOR) ; Pleszczyński, Mariusz² (AUTHOR)

Source: Symmetry (20738994). Dec2024, Vol. 16 Issue 12, p1619. 20p.

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Academic Journal

Physics-Informed Generative Adversarial Network Solution to Buckley–Leverett Equation.

Authors : Ma, Xianlin^1,2 (AUTHOR) ; Li, Chengde¹ (AUTHOR); Zhan, Jie^1,2 (AUTHOR)

Source: Mathematics (2227-7390). Dec2024, Vol. 12 Issue 23, p3833. 14p.

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Academic Journal

Acceleration of Numerical Modeling of Uranium In Situ Leaching: Application of IDW Interpolation and Neural Networks for Solving the Hydraulic Head Equation.

Authors : Kurmanseiit, Maksat B.^1,2 (AUTHOR) ; Tungatarova, Madina S.^1,2 (AUTHOR) ; Abdullayeva, Banu Z.³ (AUTHOR)

Source: Minerals (2075-163X). Oct2024, Vol. 14 Issue 10, p1043. 17p.

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Academic Journal

Analysis of nonlinear multi-field coupling responses of piezoelectric semiconductor rods via machine learning.

Authors : Wu, Chuwei¹ (AUTHOR); Xiao, Zhengguang¹ (AUTHOR); Guo, Yuting¹ (AUTHOR)

Source: International Journal of Smart & Nano Materials. Mar2024, Vol. 15 Issue 1, p62-74. 13p.

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فلترة النتائج

Forward and Inverse Solutions of Coupled ODEs Using AI: Lotka-Volterra System.

Data-Driven Modeling of Boussinesq-Burgers Equations: Comparing Physics-Informed Neural Networks (PINNs) with Exact Solutions.

Adaptive Grid Generation by Solving One-Dimensional Diffusion Equation Using Physics-Informed Neural Networks.

Nano-fluid flow predictions in convergent/divergent channels using ANN-BLMT and physics-informed neural networks.

A novel elliptic grid generation method based on output range-constrained neural network.

Elevator fault diagnosis based on digital twin and PINNs-e-RGCN.

Differential Transform Method (DTM) and Physics-Informed Neural Networks (PINNs) in Solving Integral–Algebraic Equation Systems.

Physics-Informed Generative Adversarial Network Solution to Buckley–Leverett Equation.

Acceleration of Numerical Modeling of Uranium In Situ Leaching: Application of IDW Interpolation and Neural Networks for Solving the Hydraulic Head Equation.

Analysis of nonlinear multi-field coupling responses of piezoelectric semiconductor rods via machine learning.

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