Spectral tau technique via Lucas polynomials for the time-fractional diffusion equation by Waleed Mohamed Abd-Elhameed, Abdullah F. Abu Sunayh, Mohammed H. Alharbi, Ahmed Gamal Atta

“…Here, we provide a new method to solve the time-fractional diffusion equation (TFDE) following the spectral tau approach. …”
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A posteriori Variational Multiscale Methods for the 1D convection-diffusion equations by Chacón Rebollo, Tomás, Domínguez-Delgado, Antonio, Gómez Marmol, Macarena

“…We present an extension of this technique to nonlinear convection-diffusion equations (a traffic model), providing an efficient method for the resolution of shocks from just the Galerkin solution at targeted times. …”
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ENGDM: Enhanced Non-Isotropic Gaussian Diffusion Model for Progressive Image Editing by Xi Yu, Xiang Gu, Xin Hu, Jian Sun

“…To enable efficient inference without retraining, ENGDM is rectified into an isotropic Gaussian diffusion model (IGDM) by assigning different total diffusion times to different pixels. …”
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Toward Artificial General Intelligence in Hydrogeological Modeling With an Integrated Latent Diffusion Framework by Chuanjun Zhan, Zhenxue Dai, Jiu Jimmy Jiao, Mohamad Reza Soltanian, Huichao Yin, Kenneth C. Carroll

“…This study develops an integrated Latent Diffusion Model (LDM) framework to address four key hydrogeological modeling tasks: aquifer heterogeneity structure generation, surrogate modeling for flow and transport, and direct inversion of aquifer heterogeneity structure. …”
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RITUXIMAB WITH INVOLVED FIELD IRRADIATION FOR EARLY-STAGE DIFFUSE LARGE CELL LYMPHOMA by Vera Kovalskaya, Natalya Falaleeva, Stanislav Shklyaev, Andrey Chelmakov, Ludmila Grivtsova, Marwa Abdelgawad, Ahmed Mubarek

“…Objective: Efficacy and safety of Involved Field (IF) radiotherapy in combination for anti-CD20 antibody Rituximab (MabThera) and Involved field Radiotherapy for early-stage Diffuse Large Cell lymphoma (DLBCL) in a prospective, single-arm multicenter study. …”
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High-Quality Text-to-Speech Implementation via Active Shallow Diffusion Mechanism by Junlin Deng, Ruihan Hou, Yan Deng, Yongqiu Long, Ning Wu

“…In this work, a two-stage fast inference and efficient diffusion-based acoustic model of TTS, the Cascaded MixGAN-TTS (CMG-TTS), is proposed to address this problem. …”
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Evaluation of Copper Diffusion Bonding Parameters Applied to the Manufacture of Flat Heat Pipes by Larissa Perego Mendes, Maria Cristina Amaral, Lucas de Andrade Caldas, Bianca Müller Martins, Kelvin Guessi Domiciano, Larissa Krambeck, Fabio Antonio Xavier, Marcia Barbosa Henriques Mantelli

“…Flat heat pipes are highly effective for electronic thermal management, combining compact design with efficient heat transfer. Diffusion bonding is a promising manufacturing method, enabling leak-tight joints without notable plastic deformation. …”
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Numerical Analysis of Leakage and Diffusion Characteristics of In-Situ Coal Gas with Complex Components by Enbin Liu, Lianle Zhou, Ping Tang, Bo Kou, Xi Li, Xudong Lu

“…When the gas leaks laterally, the diffusion early warning boundary value of each component is maximal. …”
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Reverse Solute Diffusion Enhances Sludge Dewatering in Dead-End Forward Osmosis by Da-Qi Cao, Shi-Cheng Lei, Hui Liu, Yan Jin, Yun-Feng Wu, Yuehua Cui, Rongling Wu

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BCDDM: Branch Correction Denoising Diffusion Model for Black Hole Image Generation by Ao Liu, Zelin Zhang, Songbai Chen, Cuihong Wen, Jieci Wang

“…However, due to the computationally intensive nature of GRRT, the efficiency of generating specific radiation flux images needs to be improved. …”
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Model-free photon analysis of diffusion-based single-molecule FRET experiments by Ivan Terterov, Daniel Nettels, Tanya Lastiza-Male, Kim Bartels, Christian Löw, Renee Vancraenenbroeck, Itay Carmel, Gabriel Rosenblum, Hagen Hofmann

“…Here, we present such an approach. We determine FRET efficiency correlation functions free of artifacts from the finite length of photon trajectories or the diffusion of molecules through the confocal volume. …”
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Sinc-Chebyshev Collocation Method for a Class of Fractional Diffusion-Wave Equations by Zhi Mao, Aiguo Xiao, Zuguo Yu, Long Shi

“…Through the numerical example, the procedure is tested and the efficiency of the proposed method is confirmed.…”
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Analysis of Cauchy reaction-diffusion equations involving Atangana-Baleanu fractional operator by Hassan Kamil Jassim, Ali Latif Arif

“…The devised technique has benefits in terms of accuracy and computational cost efficiency, which may be used to solve nonlinear fractional reaction-diffusion equations.…”
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A novel explicit scheme for stochastic diffusive SIS models with treatment effects by Muhammad Shoaib Arif

“…The scheme is designed as an explicit two-stage method, where only the time-dependent terms are discretized, ensuring computational efficiency. A compact finite difference scheme is employed to discretize the spatial components, achieving a sixth-order accuracy in space. …”
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Denoising Diffusion-Based Image Generation Model Using Principal Component Analysis by Myung Keun Song, Asim Niaz, Muhammad Umraiz, Ehtesham Iqbal, Shafiullah Soomro, Kwang Nam Choi

“…As a result, the PCA-DDPM demonstrated superior image quality and efficiency. Notably, it maintained high performance even when trained with a limited amount of data. …”
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Streamlining Haptic Design with Micro-Collision Haptic Map Generated by Stable Diffusion by Hongyu Liu, Zhenyu Gu

“…Our generative method optimizes the haptic design workflow, lowering the expertise threshold and increasing efficiency. It has the potential to support broader adoption of haptic design in interactive media and enhance multisensory experiences.…”
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Investigations on the Aerodynamic Interactions Between Turbine and Diffuser System by Employing the Kriging Method by Bin Qiu, Jinglun Fu, Xiangling Kong, Hongwu Zhang, Qiang Yu

“…An exhaust diffuser determines the turbine outlet pressure by recovering kinetic energy. …”
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Comparison of numerical results of RSM turbulence models for the problem of asymmetrical plane diffuser by Madaliev Murodil, Usmonov Mavlonbek, Tillaboyeva Farangiz, Mamatov Akmaljon, Otakulov Bakhromjon, Ro’zaliyev Sherzodjon, Mamatova Zilolaxon

“…Studies of the behavior of turbulent flow in an asymmetric flat diffuser were carried out by several independent researchers, among whom we can note the works of Obi et al., as well as Buis. …”
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Menstrual cycle inspired latent diffusion model for image augmentation in energy production by Gamal M. Mahmoud, Mostafa Elbaz, Wael Said, Amira A. Elsonbaty

“…This paper introduces menstrual cycle-inspired latent diffusion model (MCI-LDM), a novel framework that addresses these challenges with three key modifications. …”
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Diffusion-Weighted Imaging-Based Differentiating between Benign and Malignant Ovarian Lesions by Ali Reza Eftekhari Moghadam, Milad Jalilian, Forouzan Absalan, Farhad Heidari

“…Background: Ovarian cancer is a common female malignancy frequently identified at advanced stages. Diffusion-weighted imaging (DWI) provides valuable information on structural traits of tissue and is used as an imaging biomarker in OST cancer prognosis. …”
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