Local RBF-FD-Based Mesh-free Scheme for Singularly Perturbed Convection-Diffusion-Reaction Models with Variable Coefficients by Ram Jiwari, Sukhveer Singh, Paramjeet Singh

“…This work analyze singularly perturbed convection-diffusion-reaction (CDR) models with two parameters and variable coefficients by developing a mesh-free scheme based on local radial basis function-finite difference (LRBF-FD) approximation. …”
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Inverse Scattering Integrability and Fractional Soliton Solutions of a Variable-Coefficient Fractional-Order KdV-Type Equation by Sheng Zhang, Hongwei Li, Bo Xu

“…However, the solved fNLEEs are all constant-coefficient models. In this study, we establish a fractional-order KdV (fKdV)-type equation with variable coefficients and show that the IST is capable of solving the variable-coefficient fKdV (vcfKdV)-type equation. …”
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Dissipation Scaling with a Variable <i>C_ϵ</i> Coefficient in the Stable Atmospheric Boundary Layer by Marta Wacławczyk, Jackson Nzotungishaka, Paweł Jędrejko, Joydeep Sarkar, Szymon P. Malinowski

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Optimization Design of Gear Transmission Parameter based on Efficiency Improvement by Rui Su, Gangjun Li, Huazhi Li, Pingping Liu, Yangsen Huang

“…The integral along the length of thread engagement is calculated for the average transmission efficiency expression of gear in meshing process. The expression of the independent variables including active tooth number z1， the transmission ratio i， the friction coefficient f and pressure angle α. …”
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Analysis and assessment of the validity dough "theory of functions of the complex variable" by Lidiya A. Muratova

“…In article the analysis of quality of the "Theory of Functions of a Complex Variable" test is carried out. …”
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Interpolation of the Function of Two Variables with Large Gradients in the Boundary Layers by A.I. Zadorin

“…The problem of interpolation for the function of two variables with large gradients in the boundary layers is investigated. …”
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A radial variable for de Sitter two-point functions by Manuel Loparco, Jiaxin Qiao, Zimo Sun

“…We show that the two-point function of a free massive scalar in the Bunch-Davies vacuum has an exponentially convergent series expansion in this variable with positive coefficients only. …”
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Solitons, Lumps, Breathers, and Interaction Phenomena for a (2+1)-Dimensional Variable-Coefficient Extended Shallow-Water Wave Equation by Tianwei Qiu, Zhen Wang, Xiangyu Yang, Guangmei Wei, Fangsen Cui

“…In this paper, soliton solutions, lump solutions, breather solutions, and lump-solitary wave solutions of a (2+1)-dimensional variable-coefficient extended shallow-water wave (vc-eSWW) equation are obtained based on its bilinear form. …”
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Significance of dissipative flow on a second-grade nanofluid with variable thermal properties on the stretching surface by Zia Ullah, Aamir Abbas Khan, Shalan Alkarni, Abhinav Kumar, N. Beemkumar, Tushar Aggarwal, Ashwin Jacob, Jajneswar Nanda, Feyisa Edosa Merga

“…Boundary conditions are used for the analysis of heat and mass transmission. Stream functions and similarity variables are utilized to reduce the complexity of the governed PDEs (partial differential equations) and altered into ODEs (ordinary differential equations). …”
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Comparison Study of Method for Calculation of Mesh Efficiency of Involute Gear Pair by Chen Yinglin Chen Jiangyi

“…Taking the distance between pitch point and contact point as a variable, two expressions of instantaneous efficiency of gear pair are derived from the perspective of work and force. …”
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An Ultrafast Image Simulation Technique with Spatially Variable Point-spread Functions by Zeyu Bai, Peng Jia, Jiameng Lv, Xiang Zhang, Wennan Xiang, Lin Nie

“…During real observations, images obtained by optical telescopes are affected by spatially variable point-spread functions (PSFs), a crucial effect requiring accurate simulation. …”
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Efficiency Assessment of a High-Speed Tracked Vehicle Hybrid Powertrain by Ponorac Luka, Blagojević Ivan

“…This is to prove the argument of the efficiency benefits of electrifying the vehicle turning mechanism and eliminating the friction elements slip. …”
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Arbitrary Random Variables and Wiman’s Inequality by Andriy Kuryliak, Oleh Skaskiv, Andriy Bandura

“…We study the class of random entire functions given by power series, in which the coefficients are formed as the product of an arbitrary sequence of complex numbers and two sequences of random variables. …”
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The Gini coefficient and discontinuity by Jens Peter Kristensen

“…This article reveals a discontinuity in the mapping from a Lorenz curve to the associated cumulative distribution function. The problem is of a mathematical nature—based on an analysis of the transformation between the distribution function of a bound random variable and its Lorenz curve. …”
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The analysis of the "Theory of functions of the complex variable" test with attraction of models Russia and Birnbaum by Lidia A. Muratova

“…In work the analysis of the "Theory of Functions of a Complex Variable" test is carried out. …”
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EVALUATION OF SUBSOIL MASSIF STABILITY TAKING INTO ACCOUNT THE IRREGULARITY OF CONSTITUENT ROCKS ON THE BASIS OF A RANDOM SIZE AND FUNCTION MODEL by M. O. Allaev

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An Analytical Approximation of the Stress Function for Conical Flywheels by Miguel Garcia, Onofre Orozco-López, Jesús Uribe-Chavira, Andrés Blanco-Ortega

“…Starting from a stress function, the model was simplified under the assumption of a small-thickness gradient, allowing the derivation of a closed-form solution. …”
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Investigating fluctuation varieties in the propagation of the perturbed KdV equation with time-dependent perturbation coefficient by Marwan Alquran

“…By assigning various functional forms such as periodic, polynomial, and decaying exponential, to the proposed time-dependent coefficient, novel solitary wave patterns of types like-breather, regular(singular)-bell shaped, and periodic solutions are emerged with fluctuations. …”
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Variability of Interpolation Errors and Mutual Enhancement of Different Interpolation Methods by Yunxia He, Mingliang Luo, Hui Yang, Leichao Bai, Zhongsheng Chen

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Modeling creep for a closed cylindrical shell under hydrostatic pressure by M. A. Magomedov, V. V. Kuznetsov, B. M. Yazyev, S. V. Litvinov

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