A gradient-enhanced physics-informed neural networks method for the wave equation

Xie, Guizhong; Fu, Beibei; Li, Hao; Du, Wenliao; Zhong, Yudong; Wang, Liangwen; Geng, Hongrui; Zhang, Ji; Si, Liang

doi:10.1016/j.enganabound.2024.105802

Cited by 59 publications

(1 citation statement)

References 32 publications

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“…Additionally, the papers justifing the accuracy of SEM can also be found in [74][75][76][77] and therein. The gradientenhanced physics-informed neural networks method was proposed to solve the wave problem [78].…”

Section: Introductionmentioning

confidence: 99%

A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

Esen,

Karaagac,

Yagmurlu

et al. 2024

Phys. Scr.

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In this study, an efficient numerical method is applied to KdV-Burger-Fisher equationwhich is one of the dispersion-dissipation–reaction model. The present method is basedon the collocation method whose weight functions are taken from the family of the Diracdelta functions in finite element methods. The element functions are selected as quintictrigonometric B-spline basis. The error norms L2 and L∞ are calculated to measurethe efficiency of the method. Numerical solutions and error norms which are obtainedvia collocation method and trigonometric basis are presented in tables and simulationsof the solutions are exhibited as well. Additionally, stability analysis is investigated.

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Section: Introductionmentioning

confidence: 99%

A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

Esen,

Karaagac,

Yagmurlu

et al. 2024

Phys. Scr.

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Development and characterization of UV‐curable PCL/AESO/CNT nanocomposites for biomedical engineering

Mohammadi,

Mirzaei,

Moradi

et al. 2024

Polymers for Advanced Techs

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This study investigates the development and characterization of UV‐curable Poly(ε‐caprolactone) (PCL), Acrylated Epoxidized Soybean Oil (AESO), and Carbon Nanotubes (CNT) nanocomposites for biomedical engineering applications. The PCL/AESO blends were prepared in various ratios, and CNTs were incorporated at concentrations of 0.5, 1.0, and 1.5 wt% to enhance mechanical properties. The UV‐curable formulations aimed to leverage rapid curing times, precise control over material properties, and the ability to fabricate complex structures. Results indicated that the incorporation of CNTs improved the tensile strength, modulus, and toughness of the composites. The PCL/AESO/CNT nanocomposites exhibited a tensile strength increase of 25%, a modulus improvement of 30%, and a toughness enhancement of 20% compared to pure PCL. Thermal analysis showed an increase in crystallization temperature and thermal stability, with a crystallinity degree of 63.31% and a maximum degradation temperature of 407°C for the B/C 50/50/1.5 sample. Biocompatibility assessments using L929 fibroblast cells revealed that the composites supported cell viability and proliferation over 7 days with negligible cytotoxicity. Cell attachment studies indicated favorable morphology and adherence, suggesting a conducive environment for cell growth and differentiation. Hydrolytic biodegradation studies demonstrated adjustable degradation rates, making these composites suitable for various biomedical applications requiring controlled biodegradation.

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The role of graphene quantum dots in cutting‐edge medical therapies

Arab,

Jafari,

Shahi

2024

Polymers for Advanced Techs

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Graphene quantum dots (GQDs), owing to their unique optical, electrical, and chemical properties, have emerged as promising nanomaterials for various biomedical applications. This review provides a comprehensive overview of the latest advancements in the utilization of GQDs in tissue engineering, wound healing, drug delivery systems, and other biomedical therapies. The inherent properties of GQDs, including high biocompatibility, tunable photoluminescence, and significant surface area, make them ideal candidates for enhancing medical treatments and diagnostics. In tissue engineering, GQDs improve the mechanical and biological performance of scaffolds, promoting cell proliferation and differentiation. For wound healing, GQDs enhance antimicrobial activity and facilitate faster tissue regeneration. Their potential in DDS is highlighted by their ability to deliver therapeutic agents efficiently, ensuring targeted and controlled release. Additionally, GQDs play a crucial role in biomedical therapies, particularly in cancer treatment, by enhancing drug efficacy and reducing side effects. While GQDs offer significant potential in enhancing medical treatments and diagnostics, challenges such as understanding their long‐term biocompatibility, potential cytotoxicity at higher concentrations, and the need for standardized synthesis methods remain critical areas for further research. This review also discusses the future directions and opportunities for GQDs, emphasizing their transformative potential in advancing modern healthcare solutions. The insights presented here contribute to the expanding field of GQD research, highlighting their potential to significantly enhance patient outcomes and drive healthcare innovations.

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A gradient-enhanced physics-informed neural networks method for the wave equation

Cited by 59 publications

References 32 publications

A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

Development and characterization of UV‐curable PCL/AESO/CNT nanocomposites for biomedical engineering

The role of graphene quantum dots in cutting‐edge medical therapies

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