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This study aims to derive a novel spatial numerical method based on multidimensional local Taylor series representations for solving high-order advection-diffusion (AD) equations.

The parabolic AD equations are reduced to the nonhomogeneous elliptic system of partial differential equations by utilizing the Chebyshev spectral collocation method (ChSCM) in the temporal variable. The implicit-explicit local differential transform method (IELDTM) is constructed over two- and three-dimensional meshes using continuity equations of the neighbor representations with either explicit or implicit forms in related directions. The IELDTM yields an overdetermined or underdetermined system of algebraic equations solved in the least square sense.

The IELDTM has proven to have excellent convergence properties by experimentally illustrating both h-refinement and p-refinement outcomes. A distinctive feature of the IELDTM over the existing numerical techniques is optimizing the local spatial degrees of freedom. It has been proven that the IELDTM provides more accurate results with far fewer degrees of freedom than the finite difference, finite element and spectral methods.

This study shows the derivation, applicability and performance of the IELDTM for solving 2D and 3D advection-diffusion equations. It has been demonstrated that the IELDTM can be a competitive numerical method for addressing high-space dimensional-parabolic partial differential equations (PDEs) arising in various fields of science and engineering. The novel ChSCM-IELDTM hybridization has been proven to have distinct advantages, such as continuous utilization of time integration and optimized formulation of spatial approximations. Furthermore, the novel ChSCM-IELDTM hybridization can be adapted to address various other types of PDEs by modifying the theoretical derivation accordingly.

The purpose of this article is to derive an implicit-explicit local differential transform method (IELDTM) in dealing with the spatial approximation of the stiff advection-diffusion-reaction (ADR) equations.

A direction-free numerical approach based on local Taylor series representations is designed for the ADR equations. The differential equations are directly used for determining the local Taylor coefficients and the required degrees of freedom is minimized. The complete system of algebraic equations is constructed with explicit/implicit continuity relations with respect to direction parameter. Time integration of the ADR equations is continuously utilized with the Chebyshev spectral collocation method.

The IELDTM is proven to be a robust, high order, stability preserved and versatile numerical technique for spatial discretization of the stiff partial differential equations (PDEs). It is here theoretically and numerically shown that the order refinement (p-refinement) procedure of the IELDTM does not affect the degrees of freedom, and thus the IELDTM is an optimum numerical method. A priori error analysis of the proposed algorithm is done, and the order conditions are determined with respect to the direction parameter.

The IELDTM overcomes the known disadvantages of the differential transform-based methods by providing reliable convergence properties. The IELDTM is not only improving the existing Taylor series-based formulations but also provides several advantages over the finite element method (FEM) and finite difference method (FDM). The IELDTM offers better accuracy, even when using far less degrees of freedom, than the FEM and FDM. It is proven that the IELDTM produces solutions for the advection-dominated cases with the optimum degrees of freedom without producing an undesirable oscillation.

This paper aims to discuss the role of social media during the Gezi Park protests (2013) in Turkey in facilitating and promoting the expression of what matters to the protestors in a communicative environment where most traditional media turned away from reporting the events. Furthermore, the role of social media in promoting “interspaces” (Arendt, 1955/1983) and constructing “communicative dwellings” that maintain public conversation of diverse ideas during the Gezi Park events (Arnett et al., 2014, p. 14) is highlighted.

The authors use the framework of communication ethics and conflict offered by Arnett et al. (2014) that highlights the importance of recognizing “the goods that matter to oneself and others” (p. 17) in a conflict situation.

Notwithstanding its potential for misinformation, social media was the only reliable option for Gezi Park protesters. During the Gezi Park protests, social media facilitated the creation of interspaces through which people could make sense of, share, and interactively negotiate meanings about the protests through dialogue. During the Gezi Park protests, social media served both as an alternative source of information and a platform for sharing what people protect and promote that allowed for the construction of multiple narratives of resistance. Social media revealed the many components of the protests collected under the label of Gezi Park. In this historical moment of narrative and virtue contention, it becomes crucial for leaders to sense what matters to oneself and others if conflict is to be constructively engaged, allowing for increased insight and productivity.

Although there are various studies on Gezi Park protests and the use of social media, there is no discussion related to communication ethics. In this paper, the authors used the communication ethics framework offered by Arnett et al. (2014) that underlines the “interplay of ethics and conflict” (p. 2) highlighting ethics as “the good that one seeks to protect and promote” (p. 7) that generate conflict because of “multiplicity of ‘goods’” (Arnett et al., 2009, p. 9) and contrasting ethical positions. Thus, given the multiplicity in terms of what is considered as that which matters, and the contrasting ethical positions that are at odds with each other, conflict and tension can be generated. There are no other studies in the literature that use the abovementioned communication ethics perspective for discussing the Gezi Park protests in Turkey.

The purpose of this study is use a bibliometric analysis to explore the relational nature of knowledge creation in WFM in operations. Companies live under constant pressure to find the best ways to plan their workforce, and the workforce emangement (WFM) is one of the biggest challenges faced by managers. Relevant research on WFM in operations has been published in a several range of journals that vary in their scope and readership, and thus the academic contribution to the topic remains largely fragmented.

To address this gap, this review aims to map research on WFM in operations to understand where it comes from and where it is going and, therefore, provides opportunities for future work. This study combined two bibliometric approaches with manual document coding to examine the literature corpus of WFM in operations to draw a holistic picture of its different aspects.

Content and thematic analysis of the seminal studies resulted in the extraction of three key research themes: workforce cross-training, planning workforce mixed methods and individual workforce characteristics. The findings of this study further highlight the gaps in the WFM in operations literature and raise some research questions that warrant further academic investigation in the future.

Likewise, this study has important implications for practitioners who are likely to benefit from a holistic understanding of the different aspects of WFM in operations.