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This study aims to integrate the concepts of digital transformation, innovation strategy, and competitive advantage, into a novel research model in an effort to identify a more competitive path for digital transformation within manufacturing enterprises.

The research model was tested through multivariate hierarchical regression analyses, and Hayes’ PROCESS for SPSS, utilizing survey data collected from 183 manufacturing enterprises in China.

The results indicate that, in comparison to research and development (R&D) and production, digital transformation in service and organizational activities exert a more significant impact on competitive advantage. Conversely, digital transformation in sales does not exhibit a significant impact on competitive advantage. Furthermore, in contrast to exploratory innovation and ambidexterity, exploitative innovation has a more pronounced influence on digital transformation. Additionally, digital transformation has been confirmed as a mediator in the relationship between innovation strategy and competitive advantage.

These findings expand our comprehension of digital transformation as an evolving process and shed light on the relationship between digital transformation and competitive advantage across various value-creating activities. This research serves as a valuable resource for decision-makers in selecting the most suitable path for digital transformation and configuring innovative resources.

This paper examines the relationship of entrepreneurial orientation (EO), new product development (NPD), legitimacy (political and market) and firm performance (FP). The authors investigate how and when EO improves FP in high-tech small and medium-size enterprises (SMEs).

The paper formulates 5 hypotheses from literature review and theoretical deduction. The hypotheses are tested using ordinary least squares (OLS) regression with data collected from 219 randomly selected SMEs operating in high-tech industries of China.

The findings show that the mechanism of EO improve FP in high-tech SMEs by considering NPD as a mediator and legitimacy as moderators: (1) NPD plays a mediating role in the relationship between EO and FP, (2) market legitimacy (ML) positively moderating the effect of EO on FP and (3) both political legitimacy (PL) and ML positively moderating the effect of NPD on FP.

For the limitations, the firms the authors’ surveyed are SMEs that are not listed companies, which cause some limitations. For the implications, the authors propose some recommendations based on the findings to help Chinese SMEs to enhance performance.

The existing research on EO–FP linkage remains elusive findings. The paper reconciled the inconsistency by providing a nuanced mechanism of how EO promotes FP in high-tech SMEs of Chinese transition economy. By explain the important role of NPD in high-tech SMEs, the findings shed light on the mediators between EO and FP and the moderators. By emphasize the different role of ML and PL in determining EO–FP and NPD–FP linkages, the findings illustrate the peculiarity of contingency factors in a transition economy.

This paper aims to deal with two-dimensional magneto-hydrodynamic (MHD) Falkner–Skan boundary layer flow of an incompressible viscous electrically conducting fluid over a permeable wall in the presence of a magnetic field.

Using the Lie group approach, the Lie algebra of infinitesimal generators of equivalence transformations is constructed for the equation under consideration. Using these suitable similarity transformations, the governing partial differential equations are reduced to linear and nonlinear ordinary differential equations (ODEs). Further, Haar wavelet approach is applied to the reduced ODE under the subalgebra 4.1 for constructing numerical solutions of the flow problem.

A new type of solutions was obtained of the MHD Falkner–Skan boundary layer flow problem using the Haar wavelet quasilinearization approach via Lie symmetric analysis.

To find a solution for the MHD Falkner–Skan boundary layer flow problem using the Haar wavelet quasilinearization approach via Lie symmetric analysis is a new approach for fluid problems.