Determination of Protein Amount in Nanosized Synthetic Liposomes by Surface Effect Raman Spectroscopy (SERS) by Şeyma Parlatan

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Stability Analysis of a Class of Neural Networks with State-Dependent State Delay by Yue Chen, Jin-E Zhang

“…The differential equations with state-dependent delay are very important equations because they can describe some problems in the real world more accurately. …”
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Heat transportation of 3D chemically reactive flow of Jeffrey nanofluid over a porous frame with variable thermal conductivity by Nahid Fatima, Aaqib Majeed, Taoufik Saidani, Nouman Ijaz, Kamal Barghout, Nidal Abu-Libdeh

“…To model these phenomena, we employ the boundary layer approximation to derive a system of partial differential equations (PDEs). These PDEs are subsequently simplified into more manageable ordinary differential equations (ODEs) using the similarity variables. …”
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Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics by Muhammad Shoaib Arif, Kamaleldin Abodayeh, Hisham M. Al-Khawar, Yasir Nawaz

“…The proposed scheme demonstrates superior accuracy to the non-standard finite difference method, establishing its efficacy in modeling complex environmental processes. …”
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Flow and Transport in Tight and Shale Formations: A Review by Amgad Salama, Mohamed F. El Amin, Kundan Kumar, Shuyu Sun

“…Furthermore, the governing equations describing flow and transport phenomena at different scales are investigated. …”
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Qualitative Reasoning for Quantitative Simulation by Mehmet Fatih Hocaoğlu

“…For this purpose, sign algebraic properties and derivation roots of quantitative equations and qualitative variable values with their change directions were used to compute time advances. …”
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Vibration-Based Damage Prediction in Composite Concrete–Steel Structures Using Finite Elements by Mario D. Cedeño-Rodríguez, Sergio J. Yanez, Erick I. Saavedra-Flores, Carlos Felipe Guzmán, Juan Carlos Pina

“…The difference between initial and damaged modal shape curvatures served as the foundation for predicting a damage index. …”
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Analysis and simulation of turbulent flow around an immersed body with constant temperature using the Immersed Boundary Method by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales

“…A computational code was implemented to calculate lift, drag and Nusselt coefficients, comparing the results with previous studies at different Reynolds numbers. This research advances the understanding of fluid-body interactions in complex geometries and thermofluid dynamics. …”
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A novel computational analysis of boundary-driven two-dimensional heat flow with internal heat generation by Muhammad Abid, Madiha Bibi, Nasir Yasin, Muhammad Shahid

“…Accurate numerical solution of parabolic and elliptic partial differential equations governing two-dimensional heat transfer is critical for engineering simulations but computationally challenging.This work employs key numerical techniques finite differences, conjugate gradients, and Crank-Nicolson time stepping to solve the heat diffusion equation and analyze method performance.The Poisson equation is discretized using second-order central finite differences and solved with the conjugate gradient approach to determine the steady state solution. …”
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Analysis of Total Suspended Solid at Merah Putih Beach, Bangkalan Regency by Dwi Putra Ardhana Satria, Dwi Siswanto Aries

“…The result of validation for the algorithm estimation obtained an RMSE 866,51 mg/l and R square 0,1076. The advanced empirical modelling tests reveal the Polynomial mathematical equation had a smaller RMSE and a larger R square of 82,34 mg/l and 0.4468. …”
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Strong-field QED effects on polarization states in dipole and quadrudipole pulsar emissions by Dong-Hoon Kim, Chul Min Kim, Sang Pyo Kim

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Modeling and experimental validation of nanophotonics-enhanced solar membrane distillation technology for treating reverse osmosis brine by Mayar Elrakhawi, Ahmed F. Tayel, Amr Abdelrazek, Ze He, Qilin Li, Ibrahim A. Said

“…The modeling strategy involved dividing the NESMD module into sub-cells and implementing a finite difference method for detailed analysis. This led to a series of nonlinear simultaneous equations, which were resolved via computational code using MATLAB software. …”
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Comparative Simulation Study on Synchronous Generators Sudden Short Circuits by Lucian Lupşa-Tătaru

“…Also, the computational efficiency is being increased by introducing a set of auxiliary variables common to different state equations. The models derivation is carried out without altering the structural equations of the generalized d-q-0 mathematical model of synchronous generators whilst the simulation results are both compared and discussed in detail.…”
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Business targeting in Iran: a hybrid simulation-optimization approach by amir mansour tehranchian, Sogand Hoseinnia Chafjiri

“…The system of dynamic and stochastic macrometric equations includes behavioral equations and defining equations. …”
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Modeling Coupled Nonlinear Multilayered Dynamics: Cyber Attack and Disruption of an Electric Grid by Marc Mangel, Jimmie McEver

“…Second, we illustrate one of the Electric Power Research Institute scenarios for the reverse engineering of Advanced Metering Infrastructure (AMI) by coupling the synchronous motor equations for the generator and utility to the model of compromise. …”
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Bending Moment Characteristics of Hard Roof before First Breaking of Roof Beam Considering Coal Seam Hardening by Shitan Gu, Bangyou Jiang, Yue Pan, Zheng Liu

“…Considering the strain hardening effect of coal seam, the support pressure relationship of three zones—softened, hardened, and elastic—of a coal seam with regard to a hard roof is proposed, and methods to determine an approximate expression for the support pressure of hardened zone of coal seam, the range of hardened zone, and the corresponding peak values of support pressure are provided. The deflection equations of a hard roof under three different support pressure relationships of coal seam before the first breaking were theoretically derived, and all the relevant integration constants were determined. …”
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Thermal performance and MHD peristaltic flow of hybrid nanofluid (Au-Ta/Blood) in an asymmetric conduit with electro-osmosis and shape factor effects by K. Thirunavukarasan, G. Sucharitha

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An EPQ inventory model with Weibull distribution, dynamic time-dependent holding cost under various demand pattern using Maclaurin series approximations by Gopal Kumar Gupta, Atma Nand, N. S. Chauhan, Shivanand

“…The model analytically solves the differential equations approximating inventory levels under three different demand patterns: constant, linear, and quadratic using Maclaurin series approximations. …”
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Flow of Brinkman Fluid with Heat Generation and Chemical Reaction by M. Ramzan, Zaib Un Nisa, M. Ahmad, M. Nazar

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Numerical Simulations of the Effect on Aerodynamic Performances of the Inter-propeller Distance in a Contra-rotating Propeller by H. Bentrad, H. Moulai, A. Bekhti, S. Laâzab

“…Transient three-dimensional computational fluid dynamics simulations employing the unsteady Reynolds-averaged Navier–Stokes equations coupled with the k–ε turbulence model were conducted on an isolated propeller at various advance ratios. …”
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