Solving American Option Pricing Models by the Front Fixing Method: Numerical Analysis and Computing by R. Company, V. N. Egorova, L. Jódar

“…This paper presents an explicit finite-difference method for nonlinear partial differential equation appearing as a transformed Black-Scholes equation for American put option under logarithmic front fixing transformation. …”
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Mathematical analysis of Prandtl number with Artificial neural network and fractional operator for nanofluid flow by Muhammad Ramzan, Ahmad Shafique, Shajar Abbas, Rifaqat Ali, Tarik Lamoudan, Rashid Jan, Muyassar Norberdiyeva, Bakhora Turabova, Hakim AL Garalleh

“…Methods:: The governing partial differential equations are non-dimensionalized and solved using the Laplace transform method. …”
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Do women have a say? A moderated mediation model's influence on the leverage policy toward corporate sustainable growth by Rohmini Indah Lestari, Indarto Indarto, Yuli Budiati

“…Data from 48 KEHATI IDX ESG Sector Leaders Index companies observed from 2015 to 2021 were analyzed using the structural equation model partial least square (SEM-PLS) Warp.PLS 8.0. …”
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Post-pandemic job market: an analysis of factors influencing university students’ willingness for flexible employment based on SEM-ANN-fsQCA by Quanling Cai, Weidong Chen, Mingxing Wang, Kaisheng Di

“…Using data from 1270 survey responses, we applied Partial Least Squares Structural Equation Modeling (PLS-SEM), Artificial Neural Networks (ANN), and Fuzzy-Set Qualitative Comparative Analysis (fsQCA). …”
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A Piecewise Yield Failure Criterion including the Critical State for Brittle Rock by Jing Zhang, Fengyu Ren, Zhihua Ouyang, Huan Liu

“…However, this state is not unique because of the different researcher assumptions. Based on the theory of the partial differential equation proposed by Vutukuri, according to Mohr’s envelope, a piecewise yield failure criterion (referred to as the Mohr–Wedge criterion), including the critical state for brittle rock, is obtained by introducing the wedge model to solve this equation. …”
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Characterization of Moisture Diffusion in Cured Concrete Slabs at Early Ages by Xiao Zhang, Hongduo Zhao

“…A one-dimensional nonlinear moisture diffusion partial differential equation (PDE) based on Fick’s second law, which incorporates the effect of curing in the Dirichlet boundary condition using a concept of curing factor, is developed to simulate the diffusion process. …”
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The Effect of Rheology of Viscoelastic Polymer on Pressure Transient Response in Near-Wellbore Regions by Jia Zhang, Shiqing Cheng, Jie Zhan, Qi Han

“…A finite volume method was employed to discretize partially differential flow equations in a hybrid grid system including PEBI mesh and Cartesian grid, and the Newton-Raphson method was used to solve the fully implicit nonlinear system. …”
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Mathematical modeling of malaria vaccination with seasonality and immune feedback. by Zhuolin Qu, Denis Patterson, Lihong Zhao, Joan Ponce, Christina J Edholm, Olivia F Prosper Feldman, Lauren M Childs

“…Our model integrates vector-host epidemiological dynamics across different age groups and nonlinear feedback between transmission and immunity. …”
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Controllability Analysis and Optimization of Hydrocannon Nozzle Shape Based on Direct Extreme Approach by V. K. Tolstykh, Yu. V. Dmitruk

“…This problem becomes specifically relevant in the context of optimizing systems with distributed parameters, which are described by partial difference equations. Such problems include the considered problem of optimization of the shape of the nozzle of a hydrocannon. …”
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Competition between fragmentation and defragmentation of сarbon black nanoparticle agglomerates under a degenerate optical microcavitation mode by Alexandra Shamova, Galina Shandybina, Dmitry Polyakov, Evgeny Kuzmin, Valeria Domazhirova, Andrey Belikov

“…A thermophysical calculation based on an analytical solution of the heat conduction equation for a homogeneous sphere and infinite medium possess different thermal properties, allowed analyzing the dynamics of a carbon microparticle cooling in the degenerate optical microcavitation modes (long-lived microbubbles) and tracing the trend of changes in the accumulated temperature depending on laser parameters. …”
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Effects of Biological Crust Development on Soil Saturated Hydraulic Conductivity in the Three Gorges Reservoir Area by YANG Lan, CHEN Xiaoyan, ZHU Pingzong, FENG Tao, WANG Dingbin

“…The soil saturated hydraulic conductivity and basic soil physical and chemical properties of biological crust with different coverage gradients were determined by field sampling and laboratory analysis, combined with nonlinear regression, partial least squares regression and structural equation model methods. …”
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User Intent to Use DeepSeek for Health Care Purposes and Their Trust in the Large Language Model: Multinational Survey Study by Avishek Choudhury, Yeganeh Shahsavar, Hamid Shamszare

“…Data analysis involved descriptive frequency assessments and Partial Least Squares Structural Equation Modeling. …”
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Investigation of Resonance Modes in Iced Transmission Lines Using Two Discrete Methods by Rui Chen, Wanyu Bao, Mengqi Cai

“…To investigate the oscillation modes of iced transmission lines, this study introduces a forcing term into the galloping equation and applies two discretization approaches: Discrete Method I (DMI), which directly transforms the partial differential equation into an ordinary differential form, and Discrete Method II (DMII), which first averages dynamic tension along the span. …”
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