The work is devoted to the numerical solution of the initial boundary value problem for the heat equation with a fractional Riesz derivative. Explicit and implicit difference schemes are constructed that approximate the boundary value problem for the heat equation with a fractional Riesz derivative with respect to the coordinate. In the case of an explicit difference scheme, a condition is obtained for the time step at which the difference scheme converges. For an implicit difference scheme, a theorem on unconditional convergence is proved. An example of a numerical calculation using an implicit difference scheme is given. It has been established that when passing to a fractional derivative, the process of heat propagation slows down.

The Corona epidemic, as a global crisis, and the Islamic State of Iraq and Syria) ISIS (war, as a regional crisis in Iraq, have significantly impacted the atmosphere of companies and the continuation of their activities. The present study examines the role of these crises in creating incentives for fraudulent reporting and reducing or improving audit quality. It also compares the results of these two relationships with each other. In other words, the current paper sought to answer these issues: What effect did the ISIS war and the COVID-19 pandemic have on the fraudulent reporting motives of companies, and how did it affect the quality of their audits? In the end, the answer to this question was addressed: What are the differences and similarities between the study results of the impact of COVID-19 and ISIS on fraudulent financial reporting and audit quality? For this purpose, the data of 33 companies from 2008 to 2021 (462 observations) were collected to examine six formulated hypotheses, and the hypotheses were tested using the method of structural equations and analysis of variance. Interviews with experts were also used to determine quality indicators of auditing and fraudulent financial reporting so that indigenous indicators were selected and finalized. The results showed no significant relationship between the epidemic of the COVID-19 crisis and the motives of fraudulent reporting and audit quality and between the crisis of the ISIS war and the motives of fraudulent reporting. However, the ISIS war crisis has negatively and significantly impacted audit quality. Finally, the results indicated no significant difference between the impact of the epidemic crisis of COVID-19 and ISIS on the motives of fraudulent reporting. Still, there is a significant difference in the impact of the epidemic crisis of COVID-19 and ISIS on the audit quality. The knowledge enhancement of the present study is the development of literature on the impact of the Corona and ISIS crises on corporate financial reporting and auditing. The current paper, by studying the consequences of COVID-19 and ISIS, showed that further investigations in this field, especially regarding the capital market environment and A company, can obtain essential results based on which practical suggestions can be made for possible future crises.

We studied the role of industry-academic collaboration (IAC) in the enhancement of educational opportunities and outcomes under the digital driven Industry 4.0 using research and development, the patenting of products/knowledge, curriculum development, and artificial intelligence as proxies for IAC. Relevant conceptual, theoretical, and empirical literature were reviewed to provide a background for this research. The investigator used mainly principal (primary) data from a sample of 230 respondents. The primary statistics were acquired through a questionnaire. The statistics were evaluated using the structural equation model (SEM) and Stata version 13.0 as the statistical software. The findings indicate that the direct total effect of Artificial intelligence (Aint) on educational opportunities (EduOp) is substantial (Coef. 0.2519916) and statistically significant (p < 0.05), implying that changes in Aint have a pronounced influence on EduOp. Additionally, considering the indirect effects through intermediate variables, Research and Development (Res_dev) and Product Patenting (Patenting) play crucial roles, exhibiting significant indirect effects on EduOp. Res_dev exhibits a negative indirect effect (Coef = −0.009969, p = 0.000) suggesting that increased research and development may dampen the impact of Aint on EduOp against a priori expectation while Patenting has a positive indirect effect (Coef = 0.146621, p = 0.000), indicating that innovation, as reflected by patenting, amplifies the effect of Aint on EduOp. Notably, Curriculum development (Curr_dev) demonstrates a remarkable positive indirect effect (Coef = 0.8079605, p = 0.000) underscoring the strong role of current development activities in enhancing the influence of Aint on EduOp. The study contributes to knowledge on the effective deployment of artificial intelligence, which has been shown to enhance educational opportunities and outcomes under the digital driven Industry 4.0 in the study area.

I summarize the current regulatory decisions aimed at combating the debt load of the population in Russia. Further, I show that the level of delinquency of the population on loans is growing despite the regulatory measures taken. In my opinion, the basis of regulatory policy should move from de facto pushing personal bankruptcies to preventing them. I put forward a hypothesis and statistically prove the expediency of quantitative restrictions on one borrower. It is necessary to introduce reports to the credit bureaus of some types of overdue debts, which are not actually reported now. It is also necessary to change the order of debt repayment established by law, allowing the principal and current interest to be paid first, which will prevent the expansion of the debt.

China’s annual government work report (GWR) contains terms with Chinese characteristics (TCC), reflecting unique policy frameworks. Translating these terms into English poses significant challenges due to cultural disparities between China and the West. This paper examines the English translation methods used for such terms, using the 2020 GWR as a case study, aiming to provide valuable insights for future translation practices.