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This paper aims to explore the variable properties of a flow inside the thin film of a unsteady Maxwell fluid and to analyze the effects of shrinking and stretching sheet.

The governing mathematical model has been developed by considering the boundary layer limitations. As a result of boundary layer assumption, a nonlinear partial differential equation is obtained. Later on, similarity transformations have been adopted to convert partial differential equation into an ordinary differential equation. A well-known homotopy analysis method is implemented to solve the problem. MATHEMATICA software has been used to visualize the flow behavior.

It is observed that variable viscosity does not have a significant effect on velocity field and temperature distribution either in shrinking or stretching case. It is noticed that Maxwell parameter has no dramatic effect on the flow of thin liquid fluid. It has been seen that heat flow increases by increasing the conductivity with temperature in both cases (shrinking/stretching). As a result, fluid temperature goes down when than delta = 0.05 than delta = 0.2.

To the best of authors’ knowledge, nobody has conducted earlier thin film flow of unsteady Maxwell fluid with variable fluid properties and comparison of shrinking and stretching sheet.

The purpose of this paper is to present the problem of three‐dimensional flow of a fluid of constant density forced through the porous bottom of a circular porous slider moving laterally on a flat plate.

The transformed nonlinear ordinary differential equations are solved via the homotopy perturbation method (HPM) for small as well as moderately large Reynolds numbers. The convergence of the obtained HPM solution is carefully analyzed. Finally, the validity of results is verified by comparing with numerical methods and existing numerical results.

Close agreement of the two sets of results is observed, thus demonstrating the accuracy of the HPM approach for the particular problem considered.

Interesting conclusions which can be drawn from this study are that HPM is very effective and simple compared to the existing solution method, able to solve problems without using Padé approximants and can therefore be considered as a clear advantage over the N.M. Bujurke and Phan‐Thien techniques.

This paper aims to apply fractional variational iteration method using He's polynomials (FVIMHP) to obtain exact solutions for variable-coefficient fractional heat-like and wave-like equations with fractional order initial and boundary conditions.

The approach is based on FVIMHP. The authors choose as some examples to illustrate the validity and the advantages of the method.

The results reveal that the FVIMHP method provides a very effective, convenient and powerful mathematical tool for solving fractional differential equations.

The variable-coefficient fractional heat-like and wave-like equations with fractional order initial and boundary conditions are solved first. Illustrative examples are included to demonstrate the validity and applicability of the method.

The purpose of this paper is to examine the magneto hydrodynamic flow and heat transfer of nanofluids over a permeable wedge based on engine oil which is under the effects of thermal radiation and convective heating.

The equations governing the flow are transformed into differential equations by applying similarity transformations. Keller box method is used to bring out the numerical solution.

The discovery interprets that temperature as well as the velocity of Ag-engine oil nanofluids are more noticeable than Cu-engine oil nanofluids. Thermal boundary layer increases for radiation parameter as well as Biot number. Fluctuations of co-efficient of drag skin friction as well heat transfer rate at the wall are also tested.

Till now, no numerical studies are reported on the heat transfer enhancement of the permeable wedge under thermal radiation on engine oil nanofluid flow by considering convective heating.

With the growing concern for environmental and sustainability issues, especially in the aftermath of the coronavirus disease 2019 (COVID-19) pandemic, organizations feel compelled to pursue green sustainability in their operations. In this regard, the active involvement of employees in pro-environmental behaviors (PEBs) is crucial for achieving organizational environmental sustainability goals (Saeed et al., 2019). To shed light on this important issue, this study aims to investigate the impact of interacting/engaging environmental corporate social responsibility (CSR) communication strategy on employees' PEBs through the mediating effects of communal relationship and employee empowerment.

A total of 443 full-time USA employees working across various industries participated in an online survey.

The interacting/engaging environmental CSR communication strategy fosters employees' perceived communal relationship with their organizations and empowers them to support their organization's environmental initiatives, which, in turn, positively influences employees' PEBs at work.

This study advances CSR and internal communication literature through the lens of relationship management and self-determination theories. The findings theoretically suggest the effectiveness of the interacting/engaging environmental CSR communication strategy in nurturing favorable employee–organization relationships (EORs), employee empowerment and PEBs at work. The practical implications of CSR communication are also elaborated.

The purpose of this paper is to suggest a general numerical algorithm for nonlinear problems by the variational iteration method (VIM).

Firstly, the Laplace transform technique is used to reconstruct the variational iteration algorithm-II. Secondly, its convergence is strictly proved. Thirdly, the numerical steps for the algorithm is given. Finally, some examples are given to show the solution process and the effectiveness of the method.

No variational theory is needed to construct the numerical algorithm, and the incorporation of the Laplace method into the VIM makes the solution process much simpler.

A universal iteration formulation is suggested for nonlinear problems. The VIM cleans up the numerical road to differential equations.

The purpose of this paper is to investigate the circuit analysis differential equations, which play an important role in the field of electrical and electronic engineering, and it was necessary to propose a very simple and direct method to obtain approximate solutions for the linear or non-linear differential equations, which should be simple for engineers to understand.

This paper introduces a simple novel Maclaurin series method (MSM) to propose an approximate novel solution in the area of circuit analysis for linear and non-linear differential equations. These equations describe the alternating current circuit of the resistor–capacitor, which evaluates the effect of non-linear current resistance. Linear and non-linear differential equations are evaluated as a computational analysis to assist the research, which reveals that the MSM is incredibly simple and effective.

Simulation findings indicate that the achieved proposed solution using the novel suggested approach is identical to the exact solutions mentioned in the literature. As the Maclaurin series is available to all non-mathematicians, this paper reflects mostly on theoretical implementations of the numerous circuit problems that occur in the field of electrical engineering.

A very simple and efficient method has been proposed in this paper, which is very easy to understand for even non-mathematicians such as engineers. The paper introduced a method of the Maclaurin series to solve non-linear differential equations resulting from the study of the circuits. The MSM mentioned here will be a useful tool in areas of physical and engineering anywhere the problem of the circuits is studied.

Based on cognitive evaluation theory and gamification affordances, this study aims to understand how gamification affordances influence users’ intention to engage in sustainable behaviour and how new trends in Ant Forest influence its impact on green intrinsic motivation to support sustainable behaviours.

The authors developed a research model to explore the mechanisms underlying gamification affordances, psychological needs and green intrinsic motivation. Partial least squares structural equation modelling was used to assess the survey data (n = 393) and test the research model.

The results show that different gamification affordances can satisfy users’ needs for autonomy, competence and relatedness, which positively influences their green intrinsic motivation and engagement in sustainable behaviours. However, some affordances, such as competition, might negatively impact these psychological needs.

This research updates information system research on environmental sustainability and the Ant Forest context. The authors provide a new framework that links gamification affordances, psychological needs and sustainable behaviour. The study also examines changing trends in Ant Forest and their implications.

Prior research in the human resources management fields focused primarily on one type of employees’ pro-environmental behaviors yet failed to empirically investigate interrelationships among the distinct dimensions of their pro-environmental behaviors. To build a deeper understanding of the psychological process in becoming an environmental activist in the workplace, this study aims to examine the interrelationships among frontline employees’ green autonomous motivation, green external motivation, environmental concern, self-efficacy and three types of pro-environmental behaviors (i.e. green idea generation behavior, green idea promotion behavior and green idea activist behavior).

With the survey method, the data were collected from frontline employees working at hospitality enterprises in South Korea. This study analyzed the collected data, including frequency analysis, reliability analysis, correlation analysis, confirmatory factor analysis and structural equation modeling.

The empirical results showed that autonomous motivation significantly influenced environmental concern, self-efficacy, green idea generation behavior and green idea promotion behavior. Also, external motivation significantly affected environmental concern, self-efficacy and green idea promotion behavior. Furthermore, environmental concern had significant influences on self-efficacy and green idea promotion behavior, and self-efficacy had significant effects on green idea generation behavior and green idea promotion behavior. Finally, green idea activist behavior was significantly influenced by green idea generation behavior and green idea promotion behavior only.

This study proposes managerial implications to hospitality organizations and public policymakers for maximizing the effectiveness and efficiency of their green initiatives via frontline employees’ green idea activist behavior.

Based on the empirical findings, this study proposes several theoretical and practical implications for the extant literature and the service industry in the context of frontline employees’ three types of pro-environmental behaviors from their working motivation.