Yong-Min Li’s research while affiliated with Hangzhou Normal University and other places

This article develops optimal family of fourth-order iterative techniques in order to find a single root and to generalize them for simultaneous finding of all roots of polynomial equation. Convergence study reveals that for single root finding methods, its optimal convergence order is four, while for simultaneous methods, it is twelve. Computational cost and numerical illustrations demonstrate that the newly developed family of methods outperformed the previous methods available in the literature.

In this study, we model the fractal-fractional system of the Computer virus problem using the Atangana–Baleanu operator. Moreover, we have presented the existence and the uniqueness of the results under applying the Schauder fixed point and Banach fixed theorems. We have used the Atangana–Toufik technique to obtain the approximate solutions by choosing various values of orders. Different values of fractal-fractional orders along with different amounts of initial conditions are selected to examine the performance of the suggested numerical method on the new fractal-fractional system. Also, graphs in different dimensions are presented to exhibit the solutions, clearly.

This paper introduces some important dissipative problems that are recent and still of intermittent interest. The classical dynamics of Helmholtz and Kelvin–Helmholtz instability equations are modeled with the Riesz operator which incorporates the left- and right-sided of the Riemann–Liouville non-integer order operators to mimic naturally the physical patterns of these models arising in hydrodynamics and geophysical fluids. The Laplace and Fourier transform techniques are used to approximate the Riesz fractional operator in a spatial direction. The behaviors of the Helmholtz and Kelvin–Helmholtz equations are observed for some values of fractional power in the regimes, [Formula: see text] and [Formula: see text], using different boundary conditions on a square domain in 1D, 2D and 3D (spatial-dimensions). Numerical results reveal some astonishing and very impressive phenomena which arise due to the variations in the initial and source function, as well as fractional parameter [Formula: see text], for subdiffusive and superdiffusive scenarios.

Chemical graph theory is a subfield of graph theory that uses a molecular graph to describe a chemical compound. When there is at least one connection between the vertices of a graph, it is said to be connected. Topology of graph has been expressed by numerical quantity which is known as topological index. Cheminformatics is a product field that combines chemistry, mathematics, and computer science. The graph plays a key role in modelling and coming up with any chemical arrangement. In this paper, we computed the multiplicative degree-based indices like Randić, Zagreb, Harmonic, augmented Zagreb, atom-bond connectivity, and geometric-arithmetic indices for newly developed fourth type of hex-derived networks and also present the graphical representations of results.

The purpose of this study is to inspect the flow of magneto-hydrodynamic third-grade liquid through Darcy-Forchheimer’s porous space with variable features. Energy expression is explored by the convective condition and Joule heating effect. Features of homogeneous-heterogeneous reactions are accounted. Both auto-catalysts and reactants are considered equal diffusion coefficients. The incompressible liquid is conducted electrically. Proper variables convert the nonlinear flow systems to ordinary ones. Then the HAM technique is implemented for the series solution. The upshots of various variables such as the Magnetic variable, diffusion coefficient ratio parameter, Baiot number, and Prandtl number are displayed graphically. Numerical data of drag force is executed and elaborated. Our outcomes declared that temperature gradient enhances with increment in magnetic parameter and Biot number. Moreover, concentration shows a contrary trend against higher strength of homogeneous and heterogeneous reactions.

In today’s sophisticated global marketplace, supply chains are complex nonlinear systems in the presence of different types of uncertainties, including supply-demand and delivery uncertainties. Though up to now, some features of these systems are studied, there are still many aspects of these systems which need more attention. This necessitates more research studies on these systems. Hence, in this study, we propose a variable-order fractional supply chain network. The dynamic of the system is investigated using the Lyapunov exponent and bifurcation diagram. It is demonstrated that a minor change in the system’s fractional-derivative may dramatically affect its behavior. Then, distributed consensus tracking of the multi-agent network is studied. To this end, a control technique based on the sliding concept and Chebyshev neural network estimator is offered. The system’s stability is demonstrated using the Lyapunov stability theorem and Barbalat’s lemma. Finally, through numerical results, the proposed controller’s excellent performance for distributed consensus tracking of multi-agent supply chain network is demonstrated.

In this paper, axisymmetric transient squzeeing flow of the Newtonian nonconducting fluid through a porous system (circular plates) is analyzed. The slip condition is retained at the plate boundary. Darcy’s law is utilized to investigates the flow resistance. Through useful transformations, a unique boundary value problem is obtained. The resulting problem is then solved by the Daftardar–Jarfari Method (DJM) to obtain a series solution. Convergence of the DJM solution is confirmed using the idea of residual. The DJM solution is validated by comparing the present work with other analytical techniques. The behavior of included variables on the fluid flow is argued via plots.

Background and objective The dynamic of entropy generation phenomenon is important in industrial and engineering process and thermal polymer processing. In order to improve the thermal efficiency of industrial and systems, the main concern of scientists is to reduce the entropy generation. The optimized frame for the Darcy-Forchheimer flow accounted by curved surface has been worked out this continuation. The applications of the chemically reactive material are focused via heterogeneous and homogeneous chemical utilizations. The thermal and velocity slip constraints are imposed for investigating the flow phenomenon. Additionally, the determination of heating phenomenon is investigated by incorporating the heat source features. The importance of entropy generation and Bejan number is also signified. Methodology Nonlinear partial systems are reduced to dimensionless differential system through suitable variables. The problem consists of highly nonlinear equations are numerically worked out with appliances of ND-solve procedure. Results Influence of fluid flow, thermal field, entropy rate, concentration and Bejan number via influential variables are examined. A slower velocity change due to implementation of slip is noticed. The applications of Brinkman number offer resistance to fluid particles while an enhancement in the Bejan number is claimed. Conclusions For an augmentation in curvature variable, the concentration and velocity show reverse effect. There is an increase in temperature distribution against heat generation parameter. Velocity field is reduced against higher porosity and slip parameters. Temperature has revers trends against radiation and thermal slip parameters. Larger Schmidt number decreases concentration distribution. Entropy rate is augmented versus larger radiation parameters. An augmentation in Brinkman number leads to improve the velocity filed whereas it reduces the Bejan number. Brinkman number influence on Bejan number is similar to that of homogenous reaction parameter on concentration. The comparative simulations against the reported results are performed.

In this paper, we focus to design intelligence numerical computing through artificial neural networks (ANNs) which are backpropagated with Levenberg–Marquard technique (NN-BLMT) for the theoretical approach of physical aspects of heat generation in second-grade fluid (PA-HG-SGF) due to Riga plate. The Riga plate (RP) is known as the physical interaction stimulus, which consists of electrodes and enduring electromagnets that are located on plane surface. The purpose of NN-BLMT is to learn the weight of neural networks on the basis of optimization of the fitness value based on mean-square error between the proposed result and reference numerical solution. The innovation and reliability of NN-BLMT used will be greatly better as compared to traditional numerical techniques that are used to solve commercial and industrial problems. NN-BLMT is fast and easy to apply on nonlinear problems and get best results. The original model PA-HG-SGF in term of PDEs is first converted into system of nonlinear ODEs through suitable transformation and then numerically solved. Through Adam numerical technique (AMT) in Mathematica software, a dataset for PA-HG-SGF is attained for different scenarios of PA-HG-SGF by variation of second-grade parameter, heat-generation parameter, Hartman number, thermal lamination parameter, thermal composure parameter and Prandtl number. Expected solutions are described for PA-HG-SGF through the NN-BLMT testing, training, and validation process. In addition, NN-BLMT relative studies and performance analysis are validated by histogram studies, regression analysis and MSE and then analyzed PA-HG-SGF.

Nanofluids have several industrial and technological applications such as space technology, cooling systems, chemical production, information technology, nuclear reactors, food safety, transportation, and medical applications like chemotherapy, destroying of injured tissues, pharmacological processes, artificial lungs, diagnosis of several diseases, etc. In this investigation, the entropy generation phenomenon with applications of activation energy and heat source/sink has been numerically evaluated. The porous disk with uniform rotation about fixed axis accounted the flow. The Nield’s constraints for the concentration profile are implemented. The thermal aspect of Bejan number and entropy generation phenomenon is addressed to reduce the energy loss. The modeling based on such flow constraints results nonlinear expressions for which numerical outcomes via Keller Box technique are computed. The importance of parameters for the velocity change, heat transfer phenomenon, concentration profile, entropy generation, and Bejan number is addressed. The summarized results convey that azimuthal velocity declined with viscoelastic parameter. The increasing rate of entropy generation is noticed for the viscoelastic parameter and Hartmann number, while both parameters present a reversing behavior against Bejan number. The Bejan number enhanced via concentration and temperature difference parameters.