Variable step-size LMS algorithm with hybrid weight coefficients based on the Rayleigh distribution curve by CHEN Dongwei, LIU Weidong, ZHANG Mingyi, JIN Mengzhe, FANG Qingyuan

“…The impact of the new variable step function parameters <italic>α</italic>, <italic>β</italic>, <italic>γ</italic> and the hybrid filter weight coefficient <italic>W</italic>(<italic>n</italic>) on the proposed algorithm performance and interference suppression analysis were discussed in detail. …”
Get full text

Lie Group Classification of a Class of Variable Coefficient Boiti–Leon–Manna–Pempinelli Equations by Christodoulos Sophocleous

Get full text

Novel Nonlinear Dynamical Solutions to the (2 + 1)‐Dimensional Variable Coefficients Equation Arise in Oceanography by Hajar F. Ismael, Tukur Abdulkadir Sulaiman, Harivan R. Nabi, Shams Forruque Ahmed

“…The assistance of the Hirota bilinear method secures different forms of multiple solitons and M‐lump waves, such as one‐, two‐, and three‐soliton, by using different functions of variable coefficients. Moreover, the long‐wave technique is under consideration when analyzing hybrid solutions, namely mixed soliton‐lump, two‐soliton‐lump, and soliton‐two‐lump solutions. …”
Get full text

Statistical Inference for the Heteroscedastic Partially Linear Varying-Coefficient Errors-in-Variables Model with Missing Censoring Indicators by Yuye Zou, Chengxin Wu

“…In this paper, we focus on heteroscedastic partially linear varying-coefficient errors-in-variables models under right-censored data with censoring indicators missing at random. …”
Get full text

Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients by Zhao Li, Peng Li, Tianyong Han

“…Finally, the periodic wave solutions, implicit analytical solutions, hyperbolic function solutions, and Jacobian elliptic function solutions of the coupled nonlinear Schrödinger equations with variable coefficients are constructed.…”
Get full text

Series Solution Method Used to Solve Linear Caputo Fractional Initial Value Problems with Variable Coefficients by Aghalaya S Vatsala, Govinda Pageni

“…Computing the solution of the linear Caputo fractional differential equation with variable coefficients cannot be obtained in closed form as in the integer-order case. …”
Get full text

Fourier coefficients and growth of harmonic functions by A. fryant, H. Shankar

“…We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its Fourier coefficients in case H is not entire. …”
Get full text

Approximation of an Optimal BV -Control Problem in the Coefficient for the p(x)-Laplace Equation by Ismail Aydin, Peter Kogut

Get full text

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. …”
Get full text

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. …”
Get full text

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

Get full text

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. …”
Get full text

The program for estimation non-elementary linear regressions with two variables using ordinary least squares by M. P. Bazilevskiy, D. V. Karbusheva

“…The aim of this article is to develop a program for approximate estimation of regression models specified on the basis of the Leontief production function (non-elementary regressions with two variables) and use it for modeling the unemployment rate in the Irkutsk region.Method. …”
Get full text

Two-point boundary value problem for a partial differential equation in spaces of periodic functions by V.S. Ilkiv, Z.M. Nytrebych, P.Y. Pukach, M.I. Vovk

“…We investigate the two-point in time boundary value problem for the partial differential equations of the second-order with one spatial variable and constant coefficients. The problem is considered in in the spaces of functions which Fourier coefficients are characterized by exponential behavior on the Cartesian product of the time interval and spatial domain $\mathbb{R}/2\pi\mathbb{Z}$. …”
Get full text

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. …”
Get full text

The Dirichlet problem for elliptic equation with several singular coefficients by Tuhtasin G. Ergashev

“…Recently found all the fundamental solutions of a multidimensional singular elliptic equation are expressed in terms of the well-known Lauricella hypergeometric function in many variables. In this paper, we find a unique solution of the Dirichlet problem for an elliptic equation with several singular coefficients in explicit form. …”
Get full text

Variability of Interpolation Errors and Mutual Enhancement of Different Interpolation Methods by Yunxia He, Mingliang Luo, Hui Yang, Leichao Bai, Zhongsheng Chen

Get full text

Experimental Characteristics of Mechanical Continuously Variable Transmission with Internal Force Functions by A. V. Yurkevich, A. V. Tereshin, V. A. Soldatkin

Subjects: “…mechanical continuously variable transmission…”
Get full text

Predicting filtration coefficient and formation damage coefficient for particle flow in porous media using machine learning by Xuejia Du, George K. Wong

“…The clogging of porous media with solid particle suspension flow is modeled using two empirical parameters of filtration coefficient (λ) and formation damage coefficient (β). …”
Get full text

Variáveis climáticas e o desempenho de um pivô central, em Cristalina Goiás Climatic variables and performance of center pivot at Cristalina, Goiás, Brazil by William Evangelista, Carlos A. S. Oliveira, Cícero L. Silva

“…<br>This research aimed to evaluate center pivot performance as a function of wind speed (VV), relative humidity of air (UR) and mean air temperature (T) and establish a stochastic model to estimate application efficiency as a function of these independent variables. …”
Get full text