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This study aims to introduce a modern higher efficiency predictor–corrector iterative algorithm.

Furthermore, the efficiency of new algorithm is analyzed on the based on Chun-Hui He’s iteration method.

In comparison with the current robust algorithms, the newly establish algorithm behaves better and efficient, whereas the current existing algorithm fails or slows in the considered test examples.

The modified Chun-Hui He’s algorithm has great practical implication in numerous real-life challenges in different area of engineering, such as Industrial engineering, Civil engineering, Electrical engineering and Mechanical engineering.

The paper presents a modified Chun-Hui He’s algorithm for solving the nonlinear algebraic models exist in various area.

Analytical methods are widely used in heat and fluid flow; the purpose of this paper is to couple Taylor series method and Bubbfil algorithm to solve nonlinear differential equations.

A series solution is obtained with some unknown constants, which can be determined by incorporating boundary conditions, and the constants are calculated by the Bubbfil algorithm.

This paper gives an analytical approach to a nonlinear equation arising in porous catalyst using Taylor series and Bubbfil algorithm, and a high accuracy can be achieved.

The coupled method of Taylor series and Bubbfil algorithm is a powerful method for nonlinear differential equations.

The proposed technology can be used in various numerical methods.

A new analytical method is proposed based on Taylor series and Bubbfil algorithm, which is a development of Newton’s iteration method and an ancient Chinese algorithm. The solution process is simple and easy to follow.

Every student knows Newton’s iteration method from a textbook, which is widely used in numerical simulation, what few may know is that its ancient Chinese partner, Ying Buzu Shu, in about second century BC has much advantages over Newton’s method. The purpose of this paper is to introduce the ancient Chinese algorithm and its modifications for numerical simulation.

An example is given to show that the ancient Chinese algorithm is insensitive to initial guess, while a fast convergence rate is predicted.

Two new algorithms, which are suitable for numerical simulation, are introduced by absorbing the advantages of the Newton iteration method and the ancient Chinese algorithm.

This paper focuses on a single algebraic equation; however, it is easy to extend the theory to algebraic systems.

The Newton iteration method can be updated in numerical simulation.

The ancient Chinese algorithm is elucidated to have modern applications in various numerical methods.

This paper aims to show how to establish a variational formulation directly from the governing equations. A modified Burger equation arising in dusty plasma is used as an example to show the derivation process.

Ji-Huan He’s semi-inverse method is adopted in the derivation process. To effectively use the semi-inverse method, a potential function is introduced, and the trial functional is constructed with some nonzero parameters, which are such identified that the stationary conditions satisfy the governing equations.

The derivation is simple, and the obtained variational principle is conciser than that obtained by Kalaawy, who introduced two special functions.

This paper suggests an effective approach to the inverse problem of the calculus of variations.

The variational principle views a complex problem in an energy way, it gives good physical understanding of an iteration method, and the variational-based numerical methods always have a conservation scheme with a fast convergent rate. The purpose of this paper is to establish a variational principle for a fractal nano/microelectromechanical (N/MEMS) system.

This paper begins with an approximate variational principle in literature for the studied problem, and a genuine variational principle is obtained by the semi-inverse method.

The semi-inverse method is a good mathematical tool to the search for a genuine fractal variational formulation for the N/MEMS system.

The established variational principle can be used for both analytical and numerical analyses of the N/MEMS systems, and it can be extended to some more complex cases.

The variational principle can be used for variational-based finite element methods and energy-based analytical methods.

The new and genuine variational principle is obtained. This paper discovers the missing piece of the puzzle for the establishment of a variational principle from governing equations for a complex problem by the semi-inverse method. The new variational theory opens a new direction in fractal MEMS systems.

This study aims to purpose the idea of a new hybrid approach to examine the approximate solution of the fourth-order partial differential equations (PDEs) with time fractional derivative that governs the behaviour of a vibrating beam. The authors have also demonstrated the physical representations of the problem in different fractional order.

Mohand transform is a new technique that the authors use to reduce the order of fractional problems, and then the homotopy perturbation method can be used to handle the further series solution in the form of convergence. The formulation of Mohand transform and the homotopy perturbation method is known as Mohand homotopy perturbation transform (MHPT). The fractional order in this paper is considered in the Caputo sense.

The results are formulated in the shape of iterative series and predict the solution close to the exact solution. This successive iteration demonstrates the authenticity and reliability of this scheme.

This paper presents the significance of MHPT such that, firstly, Mohand transform is coupled with homotopy perturbation method and, secondly, the fractional order a is used to show the physical behaviour of the graphical solution.

This study presents the consistency and authenticity of the graphical solution with the exact solutions.

This study demonstrates that Mohand transform is capable to handle the fractional order problem without any constraints and assumptions.

A new integral transform has been introduced without any restriction of variables that produces the results in a series form and confirms the validity of the proposed algorithm by graphical illustrations.

The purpose of this paper is to introduce an innovative strategy for the approximate solution of the heat flow problems in two- and three-dimensional spaces. This new strategy is very easy to implement and handles the restrictive variable that may ruin the physical nature of the problem.

This study combines Sawi transform (ST) and the homotopy perturbation method (HPM) to formulate the idea of Sawi homotopy perturbation transform method (SHPTM). First, this study implements ST to handle the recurrence relation and then incorporates HPM to derive the series solutions of this recurrence relation. ST has the advantage in that it does not require any assumptions or hypothesis for the evaluation of series solutions.

This strategy finds the results very accurate and close to the precise solution. The graphical observations and the surface solution demonstrate that SHPTM is a reliable and powerful scheme for finding the approximate solution of heat flow problems.

The study presents an original work. This study develops SHPTM for the approximate solution of two- and three-dimensional heat flow problems. The obtained results and graphical representation demonstrate that SHPTM is a very authentic and reliable approach.

This study investigates how two situational elements influence people's propensity to lie about their own performance. We hypothesized that (a) people are more likely to lie when rewarded for doing so, (b) performance pressures at work lead people to lie about their performance, and c) the joint effect of the two elements led to the highest level of lying. Reward and pressure were manipulated in an experiment with 140 participants. The findings support both hypotheses. The results have implications for the manner in which corporations pressure and reward their employees, suggesting that unsavory behavior such as lying is a natural outgrowth of high pressure, high reward work situations.

This study aims to understand how information-sharing in live-streaming is formed through a motivational perspective. The authors provide a framework to explain how live-streaming services and attachment affect viewers' information-sharing decision.

This study uses a survey-based method to collect data and partial least squares to analyze them.

The proposed hypotheses are largely supported. The results show that information-sharing intention is influenced by both attachment to a creator and attachment to a group. These attachments are positively affected by live-streaming services. The findings contribute to live-streaming literature by conceptualizing motivation and motivational feedback as service and attachment respectively.

The findings suggest that live-streaming managers emphasize social-technical features and relationship development with others (creators, group members) to motivate viewers' participation in live-streaming.

This study addresses the gap of lacking a systematic consideration of motivation in the live-streaming context. As such, the authors conducted empirical research that describes the information-sharing through the motivation from service and feedback from attachment.

The purpose of this study was to take a fresh look at how well instruments commonly used to calibrate teamwork skills reflect the reality of today’s workplace. Given the number of teamwork skills instruments that have been available for many decades, the question was, why still are so many workplace teams not successful?

This practitioner exploration identified insights from a small group of experienced Indian managers on what makes a successful team. It compares these insights to the dimensions identified in one readily available practitioner-developed teamwork skills instrument and to those characteristics identified in the literature.

The match was less than perfect between the criteria these experienced managers used to predict team success and the combination of the dimensions in the literature and what the tool measured. Analysis indicated these managers felt that successful teams indeed required good communication among members (as identified in the literature), but they added the specificity that the element of communication characterized as effective listening was a key contributor to team success. Additionally, they did not just exhibit effective conflict resolution techniques (as identified in the literature), but also relied upon debate, discussion, flexibility, trust and cohesiveness. The findings also suggested the importance of understanding each other’s strengths and weaknesses and of giving credit, which were not included on the instrument used.

Given the growing importance of diverse international teams and the continued high failure rate of many teams, there is a need to take a fresh look at evaluating insights of successful team members using the additional lenses of culture, technology-enhanced communications and distributed work approaches. These insights should be compared to those skills that have been historically measured by instruments commonly used to calibrate teamwork skills and described in the literature. If the measuring tools are accurate, why do so many teams fail? If instruments are to be useful in guiding improvement of teamwork skills, they need to calibrate the specific skills that differentiate success from failure in today’s real world.