Application of Resonant Nuclear Reactions for Studying the Diffusion of Nitrogen and Silicon in Ti-Modified Stainless Steel by J. Arunkumar, C. David, K. G. M. Nair, B. K. Panigrahi, C. S. Sundar

“…Resonant nuclear reaction analysis can be used for the study of diffusion behaviour of minor alloying elements in reactor structural materials. …”
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Bernoulli Collocation Method for Solving Linear Multidimensional Diffusion and Wave Equations with Dirichlet Boundary Conditions by Bashar Zogheib, Emran Tohidi, Stanford Shateyi

“…A numerical approach is proposed for solving multidimensional parabolic diffusion and hyperbolic wave equations subject to the appropriate initial and boundary conditions. …”
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Role of MRI and surgical excision in long-standing diffuse-type GCTTS of the flexor tendon sheath by Antonios Michailidis, MD, Ioannis Tsifountoudis, MD, PhD, Dimitrios Kitridis, MD, FEBOT, MSc, PhDc, Eleni Karagergou, MD, PhD, Alexandros Givissis, MD, Panagiotis Givissis, MD, PhD

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Evaluation of Extraradicular Diffusion of Hydrogen Peroxide during Intracoronal Bleaching Using Different Bleaching Agents by Mohammad E. Rokaya, Khaled Beshr, Abeer Hashem Mahram, Samah Samir Pedir, Kusai Baroudi

“…Objectives. Extra radicular diffusion of hydrogen peroxide associated with intracoronal teeth bleaching was evaluated. …”
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Combining machine-learned and empirical force fields with the parareal algorithm: application to the diffusion of atomistic defects by Gorynina, Olga, Legoll, Frédéric, Lelièvre, Tony, Perez, Danny

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Spatiotemporal Dynamics of a Reaction Diffusive Predator-Prey Model: A Weak Nonlinear Analysis by N. B. Sharmila, C. Gunasundari, Mohammad Sajid

“…This study introduces and investigates a predator-prey model incorporating reaction-diffusion through a system of differential equations. …”
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Études TransInterroger les conditions de production et de diffusion des savoirs by Karine Espineira, Maud-Yeuse Thomas

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Research on the molecular dynamics of coalbed methane diffusion and adsorption in reservoir pores under different factors by Xuefan Wang, Jianwei Zhong, Ziyang Zhang, Xu Zeng, Rui Shen, Ze Deng, Nan Wang

“…In this study, we developed a theory based on the basic geological characteristics of coal beds and the adsorption state of CBM, focusing on the transition state of adsorption gas diffusion of surface diffusion gas molecules. We explored the impact of various factors on the diffusion coefficients and adsorption capacity of CBM, elucidating the underlying reasons for variations in CBM adsorption and diffusion through molecular dynamics simulations. …”
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One-Dimensional Nonequilibrium Radiation-Transport Equation under Diffusion Approximation and Its Discrete Scheme by Qi Gao, Chuanfei Zhang, Lin Zhou, Zhenghong Li, Zeqing Wu, Yu Lei, Chunlai Zhang, Xiaotao Zu

“…Based on the nonlocal thermodynamic equilibrium state and large optical thickness of plasma, we establish one-dimensional nonequilibrium radiation-transport equation from diffusion approximation. Through finite volume method, the discrete scheme of radiation-transport equation and the conditions for its definite solution are proposed. …”
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KANDiff: Kolmogorov–Arnold Network and Diffusion Model-Based Network for Hyperspectral and Multispectral Image Fusion by Wei Li, Lu Li, Man Peng, Ran Tao

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A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations by Leilei Wei, Xindong Zhang

“…We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. …”
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Water Clustering in Wheat Flour and Its Role in Water Diffusion: Observation Based on Sorption Isotherm by ZHAO Xuewei, WEI Xiaoxiao, GUO Yu, WANG Hongwei, ZHANG Hua

Subjects: “…water clustering; water diffusion; thermodynamic factor; interaction; isothermal sorption; wheat four…”
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Study on the Effect of Blood Content on Diffuse Reflectance Spectra of Basal Cell Carcinoma Skin Tissue by Miaoqing Nan, Qingli He

“…Diffuse reflectance spectrum as a noninvasive method has been widely used to study the optical properties of cutaneous skin tissue. …”
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Perona-Malik Model with Diffusion Coefficient Depending on Fractional Gradient via Caputo-Fabrizio Derivative by Gustavo Asumu Mboro Nchama, Angela Leon Mecias, Mariano Rodriguez Ricard

“…This work proposes to modify the PM model by introducing the Caputo-Fabrizio fractional gradient inside the diffusivity function. Experiments with natural images show that our model can suppress efficiently the blocky effect. …”
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Stochastic θ-Methods for a Class of Jump-Diffusion Stochastic Pantograph Equations with Random Magnitude by Hua Yang, Feng Jiang

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Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect by Guowei Yang, Yonggui Kao, Changhong Wang

“…This paper considers dynamical behaviors of a class of fuzzy impulsive reaction-diffusion delayed cellular neural networks (FIRDDCNNs) with time-varying periodic self-inhibitions, interconnection weights, and inputs. …”
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Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms by Jinhua Huang, Jiqing Liu, Guopeng Zhou

“…This work concerns the stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms as well as Dirichlet boundary condition. …”
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Ways of energy saving during thermal and chemicalthermal treatment of steel due to acceleration of diffusion processes by V. M. Konstantinov, V. A. Kukareko

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Approximate Solutions to a Degenerate Diffusion Equation with Absorption and Production: A Sharp Front Approach by Jordan Hristov

Subjects: “…degenerate diffusion…”
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Label-free determination of diffusion coefficients at the nanoscale through modelling of the Surface Plasmon Resonance signal by Gabriele Antonio Zingale, Irene Pandino, Damiano Calcagno, Maria Luisa Perina, Nunzio Tuccitto, Giuseppe Grasso

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