Social Progress and Economic Growth based on Simultaneous Equations of Panel Data by Seyed Ehsan Hosseinidoust, Akbar Khodabakhshi, Saeedeh Ahmadi

“…In the application of the system of simultaneous equations, it is necessary to have two recognizability conditions, which include the degree and rank condition. …”
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A Relaxation Iteration Method with Three Parameters for Solving Absolute Value Equation by Lu-Lin Yan, Yi-Xin Jiang, Shu-Xin Miao

“…In this paper, a new matrix splitting iteration method is presented to solve the absolute value equation. The proposed method has three parameters, and it is expected that its convergence efficiency can be improved by selecting appropriate parameters. …”
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Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method by Nahdh S. M. Al-Saif, Ameen Sh. Ameen

“…The exact solution of selective solutions was compared with the results obtained from the numerical experiments in order to investigate the accuracy and the efficiency of scheme.…”
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SOLUTION OF DIFFERENTIAL EQUATIONS OF INTERACTION BETWEEN CONICAL-HELICAL AGITATOR WITH MINERAL FERTILIZER by S. Nukeshev

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Investigations of soliton structures and dynamical behaviors of the Westervelt equation with two analytical techniques by Md. Masudar Rahman, S. M. Rayhanul Islam, Ashabul Hoque

“…The study of nonlinear partial differential equations is a crucial area of scientific research to understand fundamental properties and common characteristics of nonlinear phenomena. …”
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Effect of Individual Skills and Performance on Humanitarian Organisations: A Structural Equation Model by Shanaka Rajakaruna, Alge Wattage Wijeratne, Tim Mann, Chen Yan

“…A conceptual model based on a Structural Equation Analysis was deduced from an extensive literature survey and was employed to answer these three interconnected issues. …”
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Surface Integral Equation-Domain Decomposition Scheme for Solving Multiscale Nanoparticle Assemblies With Repetitions by Diego M. Solis, Fernando Obelleiro, Jose M. Taboada

“…In this paper, we introduce the use of the multilevel fast multipole algorithm (MLFMA) in synergy with a multilevel nonoverlapping additive Schwarz domain decomposition (DD) preconditioner for the solution of large arrays of nanoparticles presenting multiscale and multiphysics features. The judicious selection of subdomains allows for the isolation of the different scale/physics subproblems, yielding an efficient and effective preconditioner for the surface integral equation matrix system. …”
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Video Recognition of Government Community Management Cases Based on Partial Differential Equation Method by Yumeng Sun

“…Based on this, this paper improves the traditional partial differential equation algorithm of image recognition, selects the GAC model based on image segmentation in the main function, and innovatively optimizes the stop function of its equation function, so as to improve the effect of community case image segmentation. …”
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Homotopy Analysis Transform Method for Solving Systems of Fractional-Order Partial Differential Equations by Fang Wang, Qing Fang, Yanyan Hu

“…The proposed approach introduces a convergence parameter <i>ℏ</i>, which plays a crucial role in adjusting the convergence range of the series solution. By appropriately selecting initial terms, the convergence speed and computational accuracy can be significantly improved. …”
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High-efficiency filtration: Smart designs for particle trapping by Bahador Abolpour, Ramtin Hekmatkhah, Rahim Shamsoddini

“…The genetic algorithm (GA) iteratively generates new arrangements, which are then evaluated and selected for mutation to refine the optimized design. …”
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Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets by Lingaraj Angadi

“…A selection of numerical test problems is included to demonstrate the practicality and efficiency of the proposed approach.…”
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Reliable methods to determine experimental energy barriers for transport in salt-rejecting membranes by Mohammad Allouzi, Mor Avidar, Liat Birnhack, Razi Epsztein, Anthony P. Straub

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Study on simulation methods for flow experiments in fracture-cavity reservoirs by HUI Jian

“…The simulation results indicated that for typical fracture-cavity physical model flow experiments, the laminar flow model based on Stokes equation could achieve the simulation accuracy of the traditional Darcy-Navier-Stokes (Darcy-NS) coupled model, with strong reliability, while significantly improving computational efficiency. …”
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PERFORMANCE EVALUATION OF DIFFERENT LINEAR EQUATION SOLVERS FOR SOLVING NONLINEAR FE PROBLEMS ON MULTICORE ARCHITECTURES by Michal Bošanský, Bořek Patzák

“…Both considered solvers are designed for distributed system memory model and are based on a Massage Passing Interface (MPI).</p><p>The efficiency of individual solvers is evaluated on a selected benchmark problems, with different solution strategies by comparing computation times and obtained speedups.…”
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Evaluating the performance of transport equations through long-term records of integrative measured bedload data by Andrea Lammer, Rolf Rindler, Michael Tritthart, Marcel Liedermann, Markus Moser, Dorian Shire-Peterlechner, Sabrina Schwarz, Helmut Habersack

“…The performance of the transport equations is improved by considering measured data from integrative bedload monitoring and by classifying bedload events. …”
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Tuberculosis risk factors in South Africa, 2008 to 2017: A Generalised Estimating Equations approach by Hilda Dhlakama, Siaka Lougue, Henry Godwell Mwambi

“…To improve estimation efficiency, the best working correlation matrix for this data was selected.  …”
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Explaining the Effects of Geotourism on the Development of Entrepreneurship in City- Village Ghori-Ghalhe with Structural Equation Approach by Davood Jamini, Mmnad Salari, Himan Shahabi

“…The statistical population is composed of all heads of households living in the rural town of Quri-Qalhe in which 200 samples were selected. The main research tool is an author-made questionnaire and its reliability and validity were proved in compliance with principles of scientific research. …”
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The role of empowering organization capabilities on efficiency of new product development by Hoda Nikakhtar, Reza Aghamousa, Fataneh Alizadeh Meshkani

“…The study has used t-student test as well as structural equation modeling to examine different hypotheses of the survey.…”
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Path to sustainability: Analyzing usage intention of energy-efficient appliances by Anandhi Elangovan, Manivannan Babu

“…Data were analyzed using Partial Least Squares - Structural Equation Modeling, with a sample of 371 respondents selected through convenience sampling. …”
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A high-efficiency modeling method for analog integrated circuits by Dongdong Chen, Yunqi Yang, Xianglong Wang, Di Li, Guoqing Xin, Yintang Yang

“…However, the simulation software of an analog IC is time-consuming, which leads to the low design efficiency. Due to the nonideal factors in analog ICs, the nonlinear relationship between design parameters and performance metrics cannot be well described by the deduced approximation equations. …”
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