Numerical solutions of multi-term fractional reaction-diffusion equations by Leqiang Zou, Yanzi Zhang

“…In this paper, we have proposed a numerical approach based on generalized alternating numerical fluxes to solve the multi-term fractional reaction-diffusion equation. This type of equation frequently arises in the mathematical modeling of ultra-slow diffusion phenomena observed in various physical problems. …”
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Innovative Solutions to the Fractional Diffusion Equation Using the Elzaki Transform by Saima Noor, Albandari W. Alrowaily, Mohammad Alqudah, Rasool Shah, Samir A. El-Tantawy

“…By integrating these methodologies, we achieve accurate and efficient solutions to the fractional diffusion equation. …”
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Rectangular Illumination Based on Diffuse Reflective Off-Axis Surface by Zhen-Min Zhu, Xiang Sun, Bo Peng

“…The results show that the shape of the illumination facula is close to the standard rectangle, and the efficiency and the uniformity of illumination is higher than traditional diffuse reflectors.…”
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Some Characteristics of Air Distribution at Application of Linear Crevice Diffuser by Yaroslav Chemerynskyi, Orest Voznyak

“…This approach not only increases the efficiency of ventilation systems, but also creates comfortable conditions for staying, minimizing drafts and temperature fluctuations.…”
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KEDM: Knowledge-Embedded Diffusion Model for Infrared Image Destriping by Lingxiao Li, Xin Wang, Dan Huang, Yunan He, Zhuqiang Zhong, Qingling Xia

“…Specifically, LDM leverages a pretrained variational autoencoder (VAE) to transform the input image into latent feature space for efficient diffusion propagation, reducing computational complexity while preserving image restoration quality. …”
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Modeling nitric oxide diffusion and plasticity modulation in cerebellar learning by Alessandra Maria Trapani, Carlo Andrea Sartori, Benedetta Gambosi, Alessandra Pedrocchi, Alberto Antonietti

“…We developed the NO Diffusion Simulator (NODS), a Python module designed to model NO production and diffusion within a cerebellar spiking neural network framework. …”
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Diffused-Line-of-Sight Communication for Mobile and Fixed Underwater Nodes by Yujian Guo, Meiwei Kong, Omar Alkhazragi, Xiaobin Sun, Mohammed Sait, Tien Khee Ng, Boon S. Ooi

“…PPM is found to be power-efficient and, in terms of bit-error-ratio performance, outperforms on-off keying modulation and orthogonal frequency-division multiplexing modulation in complex dynamic underwater channels. …”
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An immersed interface method for nonlinear convection–diffusion equations with interfaces by Miguel Uh Zapata, Reymundo Itza Balam, Silvia Jerez

“…Numerical simulations for several benchmark problems show the robustness and efficiency of the proposed scheme.…”
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Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection by Zhenmin Zhu, Xin Xu, Xiang Sun, Xinyun Wang

“…On the basis of the Lambertian characteristic of LEDs and the ideal diffuse surface, a design method that features a multiple diffuse reflectance freeform surface is proposed and its related mathematical model is established in this paper. …”
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Using Spinodal Decomposition to Investigate Diffusion Enhancement and Vacancy Population by Xinren Chen, Frédéric De Geuser, Alisson Kwiatkowski da Silva, Chuanlai Liu, Eric Woods, Dirk Ponge, Baptiste Gault, Dierk Raabe

“…Abstract Material sustainability requires energy‐efficient and rapid strengthening processes. In alloys, strengthening through diffusion‐driven precipitation is limited by the low vacancy concentration, with fewer than one vacancy per 100 billion lattice sites at room temperature in metals such as aluminum and iron under thermodynamic equilibrium. …”
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Three-Dimensional Surface Reconstruction for Specular/Diffuse Composite Surfaces by Chung-Hsuan Huang, Ssu-Chia He, Tsung-Yu Chen, Chau-Jern Cheng, Han-Yen Tu

“…This paper presents an effective three-dimensional (3D) surface reconstruction technique aimed at profiling composite surfaces with both specular and diffuse reflectance. Three-dimensional measurements based on fringe projection techniques perform well on diffuse reflective surfaces; however, when the measurement targets contain both specular and diffuse components, the efficiency of fringe projection decreases. …”
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Bohm Diffusion in Magnetron Sputtering System: A Review Article by Murad M. Kadhim, Qusay A. Abbas

“… This review provides a comprehensive analysis of recent advances in understanding Bohm diffusion in magnetron sputtering systems, a process critical for optimizing thin-film deposition. …”
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Multi-scale adversarial diffusion network for image super-resolution by Yanli Shi, Xianhe Zhang, Yi Jia, Jinxing Zhao

“…Abstract Image super-resolution methods based on diffusion models have achieved remarkable success, but they still suffer from two significant limitations. …”
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Two-stage Mamba-based diffusion model for image restoration by Lei Liu, Luan Ma, Shuai Wang, Jun Wang, Silas N. Melo

“…DSSM combines Mamba’s high efficiency with the representative power of diffusion models, enhancing both inference and training. …”
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Numerical Investigation of a Supersonic Wind Tunnel Diffuser Optimization by Riccardo Nicoletti, Francesco Margani, Luca Armani, Antonella Ingenito, Chihiro Fujio, Hideaki Ogawa, Seoeum Han, Bok Jik Lee

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Accelerating Multiphase Simulations With Denoising Diffusion Model Driven Initializations by Jaehong Chung, Agnese Marcato, Eric J. Guiltinan, Tapan Mukerji, Hari Viswanathan, Yen Ting Lin, Javier E. Santos

“…Pore‐scale simulations enhance our understanding of applications such as assessing hydrogen and CO2 storage efficiency in underground reservoirs. Nevertheless, they are computationally expensive and the presence of non‐unique solutions can require multiple simulations within a single geometry. …”
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Diffusion of Proteins Across the Nuclear Envelope of HeLa Cells by Shivani Chatterjee, Ursula Stochaj

“…A protein of 29-kDa molecular mass that harbors GFP and the bipartite Xenopus nucleoplasmin nuclear localization sequence (NLS) accumulates efficiently in nuclei of HeLa cells. However, in the absence of active facilitated nuclear import, the reporter protein exits the nucleus and equilibrates between nucleus and cytoplasm. …”
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Investigation of New Design Principles for the Centrifugal Compressor Vaned Diffusers by Qingkuo Li, Zhigang Sun, Xingen Lu, Yingjie Zhang, Ge Han

“…The vaned diffusers with subsonic, transonic and supersonic inlet conditions were optimized with the new design principles, and the peak efficiencies were increased by 4.23%, 2.15% and 2.59%, respectively. …”
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Effective Thermal Diffusivity Measurement Using Through-Transmission Pulsed Thermography: Extending the Current Practice by Incorporating Multi-Parameter Optimisation by Zain Ali, Sri Addepalli, Yifan Zhao

“…The results show that the NLSF is less susceptible to noise and offers more repeatable values for thermal diffusivity measurements compared to Parker, thereby establishing it as a more efficient and reliable technique.…”
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NiFe co-doped TiO2 as a high-performance bifunctional photocatalyst for enhanced oxygen evolution and reduction reactions in efficient zinc-air battery systems by Md Iftekher Hossain, Foysal Kabir Tareq, Souman Rudra

“…This study underscores the significant influence of Ni and Fe transition metal doping, as well as NiFe co-doping, on enhancing the properties of TiO2 to address the critical challenges in developing high-performance photo-assisted Zn-air batteries, particularly the need for improved light absorption, charge carrier separation, and catalytic efficiency. The doping process notably enhances light absorption and charge carrier separation, while the reduction in TiO2 crystallite size increases the surface area and shortens charge carrier diffusion paths, thereby minimizing recombination rates and improving photocatalytic efficiency. …”
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