bluuebunny/crossref_metadata_2025_split huggingface dataset:
Application of homotopy analysis method to solve a class of time-fractional order mCH equations
Authors: Liu Yimin , Zhao Xiaoshan 
Published: February 2025

Abstract
Using the homotopy analysis method to seek the solution of a nonlinear evolution equation has been proven useful by many studies. In this paper, a class of time-fractional nonlinear differential equations is solved by utilizing the homotopy analysis method, combined with the Riemann-Liouville derivative. The fifth-order approximate solution is obtained, and the numerical solution is carried out with maple. Numerical solutions would be compared with exact solutions. The results have shown that the homotopy analysis method is an effective analytical method to solve the time-fractional order nonlinear evolution equation.
Parameter estimation for the weibull general log-linear model in accelerated life testing
Authors: Yuan Fuqing , Lu Jinmei 
Published: February 2025

Abstract
Uncertainty is commonly present in accelerated life test (ALT) data. The combination of a general log-linear model with a statistical distribution model—using the Weibull distribution in this paper—allows for addressing both multiple operational factors and uncertainty within a single model. This paper interprets the Weibull General Log-Linear (WGLL) model from the ALT perspective. Two parameter estimation methods—maximum likelihood estimation and least squares method—are proposed to address the parameter estimation problem. A simulation study demonstrates that both methods are effective, while the least squares method generally provides better results. The approaches proposed in this paper can be used to develop more general ALT models.
Numerical methods for inverse problems in quadratic programming
Authors: Wang Min , Li Lidan 
Published: February 2025

Abstract
This paper addresses a quadratic programming inverse problem that minimizes the distance between the parameters of the objective function and the right-side parameters of the constraints and their estimated values under the condition that the feasible solution is the optimal solution to the original quadratic programming problem. By employing duality theory, we first transform this problem into an optimization problem with complementarity constraints. Subsequently, we utilize the smooth Fischer-Burmeister function to handle the complementary constraints, converting the problem into a convex optimization framework. The first-order optimality conditions are then applied to reformulate the problem as a generalized equation. We also demonstrate that the generalized Jacobian elements at the solution point are non-singular, enabling the use of an inexact Newton method for solving the problem. Numerical experiments are conducted, comparing our approach with previous methods, and the results indicate that our method exhibits significantly higher computational efficiency.
The comparative study of vector wave equation solutions based on dyadic Green’s function
Authors: Luo Xiangdong , Li Yongning 
Published: February 2025

Abstract
Based on the dyadic Green’s function, this paper analyzes four Green function methods for solving vector wave equations, obtains the relations of electromagnetic field quantities expressed by dyadic Green’s function, and compares several methods. It is found that the expression of the third method is the same as that of the second method. If

G

=

m

=

G

=

m
2

is chosen for the fourth method, the expression of the solution is the same as that of the first method.
Coxeter elements and Coxeter plane: A programming guide
Authors: Wang Ying , Zhao Liang 
Published: February 2025

Abstract
In a finite Coxeter group, the product of its generating elements in any given sequence is called a Coxeter element. The Coxeter element acts on a two-dimensional plane P as a rotation, and the rotation’s order is precisely the order of the Coxeter element itself. When projecting the root system onto P, the result is a beautifully symmetric pattern that exhibits rotational symmetry. This paper takes the exceptional Lie algebra E8 as an example to demonstrate how to compute such a projection using the Python programming language. We also discuss some properties of Coxeter elements, such as their conjugacy, orders, characteristic polynomials, and eigenvalues. This contribution opens up new avenues for a deeper understanding of Lie algebras and Coxeter groups, enriching the reader’s comprehension of these beautiful structures.
Acyclic coloring of two operations of graphs
Authors: Jin Xinze , Tian Shuangliang 
Published: February 2025

Abstract
The coloring theory of graphs is a very important direction in graph theory. The graph coloring problem has a strong application background. Many practical problems such as timetabling problems, frequency allocation problems, traffic arrangements, circuit design, and storage problems can be transformed into graph coloring problems. A substantial amount of scholarly work has been dedicated to the exploration of acyclic coloring, resulting in a plethora of significant findings that significantly contribute to the theoretical framework of vertex coloring in graphs. An acyclic coloring of a graph G refers to a proper vertex coloring where the subgraph resulting from any pair of color classes does not encompass any cycles. We analyze acyclic coloring in splitting graphs and Cartesian products of paths and cycles by using the method of structural coloring, reductive proof, and mathematical induction. Moreover, we present the precise acyclic chromatic numbers for splitting graphs of cycles and Cartesian products of paths and cycles.
Meshless method for solving nonlinear Sine-Gordon equation
Authors: Su Lingde , Wang Zhenli 
Published: February 2025

Abstract
Sine-Gordon is a classical wave equation with a nonlinear sine source term. In this article, the method of approximate particular solution is applied to solve the nonlinear sine-Gordon equation. In the algorithm, the primary operator Laplacian is kept on the left, and other terms are placed on the right, regarded as forcing term. Therefore, the original equation can be regarded as a standard Poisson equation. Then, based on the theory of radial basis function interpolation, the solution of the original problem can be obtained by solving the operator equation. This method is meshless with advantages such as ease of implementation and high accuracy.
Existence of solutions for a fractional m&n-Laplacian system with Hardy-Sobolev exponents
Authors: Zhang Rumao , Deng Zhiying 
Published: February 2025

Abstract
In this article, our purpose is to study weak solutions for a fractional m&n-Laplacian system with Hardy-Sobolev critical exponents. It is hard to find a classical solution for our system, so we will discuss a weak solution for its energy function. We will also study the Sobolev spaces that can be used in compact embedding. With the help of some inequalities, we show that the sequence we used is bounded in our Sobolev spaces. Finally, we can prove that our system has a nontrivial solution.
Matching energy and hosoya index on the complements of unicycle graphs
Authors: Ma Haicheng , He Xianghong 
Published: February 2025

Abstract
The matching energy of a graph is defined as the sum total of the absolute values of all the zeros of its matching polynomial, which is a quantity of significance in chemical applications. Since the study of extreme matching energy is an interesting work, some authors have given some vastly amusing elementary results on this topic. For example, Gutman, Ji, Chen, etc. characterized the unicycle, bicycle, and tricycle graphs with extremal matching energy. In this article, we focus on the matching energy of the complements of graphs, and four relevant graph transformations are given, from which we completely determine the graphs with extremal matching energy, among all complements of trees and all complements of unicycle graphs, respectively. As a byproduct, we also find that there exist the same results for the extremal Hosoya index.
Variance estimation in high dimensional truncated linear models
Authors: Pan Cheng , Zi Xuemin 
Published: February 2025

Abstract
This paper focuses on the problem of variance estimation in high-dimensional truncated linear models. In ultra-high-dimensional regression models, variance estimation is crucial for statistical inference and model selection. Traditional variance estimation techniques are no longer applicable when the number of samples is fewer than the number of variables. This paper proposes an improved variance estimation method that combines Refitted Cross-validation (RCV) with three semiparametric truncated linear regression estimators: Symmetric Trimmed Least Squares (STLS), Quadratic Mode Estimation (QME), and Left Truncation (LT) estimators. Theoretical analysis and simulation studies show that these combined methods not only mitigate the impact of high spurious correlations from irrelevant variables but also improve the accuracy and robustness of variance estimation. We further conducted detailed numerical simulations, which serve as concrete evidence of their effectiveness.
Study on measurement method of average pore radius of organic and inorganic matters in shale reservoirs
Authors: Sun Xin , Zhang Ran , Du Huanfu , Du Shuyan , Liu Guihua 
Published: February 2025

Abstract
Oil and natural gas resources are important strategic materials for guaranteeing national energy security and play an irreplaceable role. In recent years, the foreign dependence on oil has greatly affected China’s energy security. Shale oil/gas, as an important unconventional oil/gas resource with wide distribution and large reserves, has become a key area for breakthroughs in oil/gas exploration and increased reserves and production in the future. Shale oil/gas exists in both organic and inorganic pores in shale, and there is a big difference between organic and inorganic pores in terms of the crude oil occurrence state and starting ability. However, due to the constraints of geological understanding and engineering technology, it is currently difficult to distinguish between organic and inorganic pores in shale reservoirs, resulting in the inability to distinguish and measure the corresponding pore radius, which greatly restricts the evaluation of shale oil/gas reservoirs and oil/gas-bearing possibilities, the selection of development layers and the evaluation of shale oil/gas productivity. In this study, a method for measuring the average pore radius of organic and inorganic matter in shale reservoirs is proposed. This method can quickly and accurately distinguish organic and inorganic pores in shale reservoirs, and is of high application value for evaluating shale oil/gas reservoirs and oil/gas-bearing possibilities, selection of development layer as well as oil/gas productivity.
A moving mesh method for analyzing dual-phase-lag heat transfer in silicon substrate heated by a moving laser pulse source
Authors: Fan Longkun 
Published: February 2025

Abstract
We investigated the thermal characteristics of silicon substrate under the effect of a moving laser source using the 2D dual-phase-lag heat transfer theory. A moving mesh technique that is effective has been proposed to address the physical issue mentioned above. Specifically, the 1D moving mesh partial differential formulation is used to build the 2D adaptable mesh dimension by dimension using a suitable monitor operation of the area of temperature. The finite difference approach is then used to resolve the model issue on the adaptable mesh. The algorithm’s efficiency is confirmed by the numerical findings. Furthermore, research has been conducted to investigate the impact of pulse duration and phase lag factors on the silicon substrate’s thermal response.
Damaged acoustic-deformation response characteristics of layered soft rock under water-rock coupling
Authors: Sun Yinhao 
Published: February 2025

Abstract
To explore the damaged acoustic-deformation response characteristics of layered soft rock under water-rock coupling, the structural anisotropy of wave velocity and micro-fracture morphological characteristics were studied. The results show that the wave velocity of soft rock has significant structural anisotropic characteristics. The water-rock process has a significant strengthening effect on the wave transmission of vertical layering. The wave-velocities Vc
(parallel layering) and Vp
(vertical layering) of saturated soft-rock increased by 4.52%–35.76% and 52.28%–113.53%. The structural specificity coefficients of saturated soft-rock are significantly weakened, which was 46.02%–78.44% of that of dry soft-rock. The structural anisotropy of soft-rock is significantly weakened by water-rock interaction, the structural heteromorphic coefficient of saturated soft-rock is 46.02%–78.44% of that of dry soft-rock, and its compaction path is prolonged, the elastic deformation is shortened and the average strength decreases by 42.44%. The wave velocity Vc
of dry soft-rock goes through the stages of steady development, slow decay, and sharp decay. The soft rock is mainly damaged by splitting, the tension cracks increase and the degree of rupture is intensified after the water saturation, and the micro-sections are mainly dissolution fractures. The research can provide a theoretical reference for the stability analysis of hydraulic rock mass.
Generalized solitons: Resize the amplitudes of solitons
Authors: Wang Dikai 
Published: February 2025

Abstract
A classical soliton is a solitary wave whose amplitude, shape, and velocity remain unchanged. The letter discovers a novel property of a soliton to change its amplitude. Simulations show that: (1) The amplitude of each soliton can be changed by exerting a function on it. The classical soliton affected by the function is extended to a generalized soliton. (2) The generalized soliton retains the properties of the function. (3) Many generalized solitons can be easily constructed by using different functions.
Optimal decay rate of solutions to compressible quantum Navier-Stokes-Poisson system
Authors: Deng Qinqin 
Published: February 2025

Abstract
In this paper, we investigate the optimal decay-in-time rate of solutions to the Cauchy problem of the compressible quantum Navier-Stokes-Poisson (abbr. QNSP) equations, which had been used to model the motion of electrons in the semiconductor devices on the nanometer scale. Since the quantum effect in the QNSP equations is described by the third-order spatial derivatives of density, this fact results in some essential difficulties in the investigation of the optimal decay-in-time rate of solutions by the spectral analysis method. To avoid the essential difficulties, we use the method of pure energy estimates to substitute the spectral analysis method as in [1], and thus establish the decay-in-time rates of solutions. We believe that the decay-in-time rates obtained in this paper are optimal, since they are consistent with the ones of the linear equations.
Characterization of energy absorption of metal rubber based on SHPB test
Authors: Sun Xiaoting , Wang Yi , Su Xujun , Che Jinli , Wang Wei 
Published: February 2025

Abstract
In order to protect the weak parts from being damaged, it is a common method to choose the appropriate buffer material to resist the impact. In this article, metal rubber is the object of study, and the energy absorption characteristics of the buffer material based on the separated Hopkinson bar test under the same impact load are studied. The test results show that, under the same impact load, the thickness of the metal rubber more energy is greater, and the value of energy absorption efficiency also increases. The maximum energy absorption efficiency of the metal rubber with a thickness of 15 mm is 5.81 J, and the energy absorption efficiency is 9.7%.
Optimized thermal power prediction model for Heliostat fields accounting for meteorological conditions
Authors: He Jialei , Feng Yingyin 
Published: February 2025

Abstract
A specific computational model and procedure for the output thermal power of a Heliostat field under Stochastic weather patterns are proposed for a conical light scenario characterized by non-uniform radiation. To lessen the associated processing complexity, a radial staggered layout is implemented in the meantime. Numerical experiments show the best scheduling plan with probabilistic weather occurrences and demonstrate the output thermal power unit area of the Heliostat under random to clear weather conditions. This research contributes to the practical prediction of thermal power output fluctuations in Concentrating Solar Power (CSP) systems under uncertain weather circumstances. Its findings have the potential to facilitate the real-time control of ancillary equipment, thereby ensuring the stability and efficiency of heat collection capabilities.
Demonstration of a RRAM-CMOS Random Number Generator Circuit for Flexible Hybrid Electronics
Authors: Dwivedi Anurag , Agarwal Harshit , Tiwari Shree Prakash 
Published: February 2025

Abstract
A hybrid random number generator circuit is designed by utilizing the stochastic switching variation, an inherent property arising from the randomness in formation and dissolution of the conductive filament, of a flexible resistive random access memory (RRAM) devices. Initially, a widely accepted simple 1-D RRAM compact model is calibrated with the experimental data from a fabricated flexible RRAM device, with less than 5% of RMS error. Then, two model parameters reflecting the cyclic variations are identified and incorporated in the compact model by using simple mathematical functions. Moreover, the effect of random variation of these two physical parameters, (a) initial gap length of the conductive filament from the opposite electrode, and (b) activation energy, on the switching characteristics of the device has been investigated. Furthermore, a simple 4-bit random number generator (RNG) circuit is proposed that utilizes the switching variations of RRAM device as source of entropy or randomness. A CMOS based circuit is designed using XOR, AND, and 4-bit counter blocks to produce a 4-bit random number utilizing 65 nm UMC PDK. The output of this flexible hybrid circuit have been tested for randomness by utilizing the benchmark test suite of NIST SP 800-22, and it is found that the output has passed most of the applicable tests without incorporating any post processing scheme, indicating the presence of randomness. These results indicate that the incorporation of variation in a simple 1-D model can be qualitatively achieved with the above discussed parameters, and a simple flexible hybrid random number generator circuit may be implemented for hardware security applications.
Highly sensitive directional torsion sensor based on a helical-tapered panda fiber
Authors: xuelan he , Liu Mengyun , jian xing , Li Wenchao , Bai Yan , Cui Shuanglong 
Published: February 2025

Abstract
A directional torsion sensor based on Panda-type polarization-maintaining fiber (PMF) was experimentally demonstrated by using the arc technique, the helical-tapered modulates the PMF periodically, forming the helical-tapered long-period fiber gratings (Ht-LPFGs), in which torsion sensitivity was significantly enhanced by helical tapered structure. The experimental results show that the torsional sensitivity of Ht-LPFGs is 154.5pm/(rad/m) and -0.008737dB/rad/m. Ht-LPFGs’ sensitivity is one order of magnitude higher than that of tapered long-period fiber gratings (t-LPFGs) without helical structure. The torsion sensor proposed in this paper has the advantages of high sensitivity, low cost and small size, which provides a promising method for torsion measurement.&#xD;
Influence of tilted geometry formation on dimensional accuracy and energy consumption using micro-single point incremental sheet forming
Authors: kumar rupesh , Kumar Vikas 
Published: February 2025

Abstract
Miniature sheet metal part found their applications in variety of field like medial implants, tooth crowning, electronic parts and for making small drones and there housing. Recently research was focused on producing small scale parts using micro-incremental sheet forming to reduce high investment cost and making it viable for micro-forming industries. Since, no research work was found which examine the energy consumption and dimensional accuracy simultaneously at micro level. AA6061 which has wide range of applications in aerospace engineering, drone industry and biomedical field due to its high strength, durability and malleability has not been formed using micro-single point incremental sheet forming (SPIF). The main objective of current study was to form a miniature tilted geometry of AA 6061using micro-SPIF technique and assess power and energy consumption during the process. Additionally, the impact of tilt angle on dimensional accuracy was examined. The maximum deviation in roundness and flatness observed at 10º tilt angle were 29 µm and 5 µm respectively. However, the minimum profile accuracy was measured at 2º tilt angle and the tilt angle was found an insignificant parameter regarding deformation energy in micro-SPIF with contribution of only 0.13% of total energy consumption.
Comparing the economic, environmental, and exposure impacts of options for coming into compliance with drinking water regulations in very small water systems in the US
Authors: Lane Kaycie , Tobiason John , Reckhow David , Kumpel Emily 
Published: February 2025

Abstract
Very small drinking water systems in the United States can face challenges in complying with the Safe Drinking Water Act, resulting in a need to improve existing infrastructure. This study applied a triple bottom-line approach to compare modeled health, environmental, and economic impacts of improving existing centralized water treatment systems to using point-of-use/point-of-entry (POU/POE) devices in four very small community water systems serving 40-450 people. We found that POU/POE systems could be implemented 1-3 years faster than centralized improvements and achieve higher removal efficiencies (up to 99% removal for arsenic, compared to 80% for some centralized options), resulting in larger decreases in human exposure to arsenic or nitrate. Treatment options using adsorptive media or ion exchange resins had larger overall environmental impacts than reverse osmosis devices, and the total 30-year cost of POUs/POEs were more expensive in 3 of the 4 modeled systems than centralized improvements due to high replacement frequencies and populations. An “ideal” option in each community water system was not selected; rather, we contextualized our results as tradeoffs.