Development of Numerical Algorithms for Solving Nonlinear Partial Differential Equations

Zahraa Ahmed; Najmeh Malek

doi:https://doi.org/10.54216/GJMSA.120203

Journal of International Economics Research | 2025

Green Financing Mechanisms in Uzbekistan’s Agricultural Sector for Sustainable Development

The growing impact of climate change, resource depletion, and environmental degradation has intensified the need to reorient financial systems toward sustainable development, particularly in resource-dependent sectors such as agriculture. In this context, green financing has emerged as a key mechanism for aligning investment flows with environmental and sustainability objectives. However, in transition economies such as Uzbekistan, the application of green financing in the agricultural sector remains fragmented and insufficiently studied, which limits its effectiveness and policy relevance. The purpose of this article is to analyze the conceptual foundations, financial instruments, and institutional mechanisms of green financing in Uzbekistan’s agricultural sector within the sustainable development paradigm. The study adopts an empirical and analytical approach based on a mixed-method research design, combining systematic literature review, institutional and comparative analysis, and descriptive statistical methods using secondary data for the period 2015–2024. The results indicate a steady increase in total agricultural financing, with an average annual growth rate of 11.6%, while green-oriented investments grew at a faster pace, averaging 17.9% per year, albeit with higher volatility (σ = 6.3). The share of green financing in total agricultural credit expanded from 4.2% in 2015 to 14.7% in 2024. Concessional green loans accounted for 52.4% of total green finance flows, reflecting a dominant reliance on state-supported instruments. Correlation analysis shows a statistically significant positive relationship between green financing intensity and resource-efficiency indicators (r = 0.68, p < 0.05), whereas total agricultural credit volume exhibited no significant association with sustainability outcomes. The theoretical significance of the study lies in the development of an integrated analytical framework linking conceptual, financial, and institutional dimensions of green financing. The practical significance is reflected in evidence-based policy recommendations aimed at improving the effectiveness and diversification of green financing mechanisms to support sustainable agricultural development in Uzbekistan.

groups

Akmal Durmanov mail

link https://doi.org/10.54216/JIER.020201

Volume & Issue

Vol. Volume 2 / Iss. Issue 2

Details open_in_new

Journal of International Economics Research | 2025

Digital Economy and E-Commerce under Cross-Border Data Flows

Given its rapid expansion and growing policy salience among global digital markets, we know considerably less about how these digital economy and e-commerce dynamics change during a regime of cross-border data flows. While previous research has emphasized the role of digital trade openness in shaping patterns of online market participation, limited attention has been given to how regulatory frictions in cross-border data transmission may be an underlying constraint to improve digital market integration. The aim of the study was to identify causal mechanisms for participation of different types of firms in e-commerce activities, their entry, use, intensity, and the resulting trade outcomes. In this paper, the analysis examines the determinants of cross-border digital engagement at the firm level, in combination with a comparative evaluation of digitally active and non-active enterprises. The empirical strategy of the study was structured by analyzing the selection bias of firms into e-commerce adoption, followed by some counterfactual estimations of the matched samples to produce unbiased treatment effects. An overview is provided of the econometric framework and identification strategy used for the estimation in the presence of non-random participation. The key variables with statistically significant effects in the matched estimations were digital connectivity and regulatory data openness, indicating that the likelihood of e-commerce participation would be easily amplified and sustained in a liberal and predictable cross-border data environment. Some evidence of the more heterogeneous and asymmetric relationships between firm characteristics and e-commerce outcomes is provided, and persistence of digital participation in the post-entry period is confirmed (average treatment effect; t = 2.87). Future research should include longitudinal datasets to test the stability of cross-border data flow effects for different stages of firm digitalization. These findings suggest that this line of empirical evidence provides credible guidance to policymakers in economies that require balanced digital trade regulation.

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Safarov Baxtiyor mail

link https://doi.org/10.54216/JIER.020105

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new

Journal of International Economics Research | 2025

ESG Factors in Accounting and Auditing of Business Combinations (M&A): Methodological Approaches and Financial Implications

The article examines the role of Environmental, Social, and Governance (ESG) factors in accounting and auditing practices related to mergers and acquisitions (M&A). The study substantiates the necessity of integrating non-financial sustainability indicators into business valuation, consolidation procedures, and post-merger audit processes. Based on the synthesis of empirical studies and international standards, an authorial framework for incorporating ESG risks into accounting and audit methodologies is proposed.

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Aripova Anna Mixaylovna mail

link https://doi.org/10.54216/JIER.020202

Volume & Issue

Vol. Volume 2 / Iss. Issue 2

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American Journal of Business and Operations Research | 2025

Structure of Global Innovation Systems and Knowledge Diffusion Patterns: Network Analysis

Digital transformation has fundamentally reshaped innovation dynamics in many parts of the global economy, and knowledge diffusion is no longer spatially bounded, as in large-scale innovation data collection, the density of collaborative ties and cross-border knowledge exchanges are increasing across institutional and technological domains. Due to structural changes in the daily organization of innovation activities, knowledge production has been reshaped by the expansion of digital infrastructures and the proliferation of networked research collaborations and innovation platforms. In this study, we aim to contribute to the understanding of global innovation systems by examining how patterns of knowledge diffusion are structured using network analysis in transnational innovation networks. This paper aims to identify structural configurations and relational mechanisms in innovation networks and how these contribute to theoretical understandings of knowledge diffusion. In this paper, we analyze the process of knowledge creation and diffusion as a networked system, using specific examples from our dataset of global innovation actors in order to examine their relational structures and positional roles of knowledge-producing entities. A sample of innovation network data from multiple sectors of global innovation systems took part in the empirical analysis, drawing from bibliometric indicators and the analysis of over large-scale relational linkages. We empirically found that we cannot assume uniformly that centrality or connectivity are either a prerequisite for innovation performance; a driver for diffusion of technological knowledge; a mechanism for individual learning; a mechanism for collective learning; and a determinant for accumulation of innovation capabilities. The findings indicate that actors adopt different strategies of using network positions in their learning: exploratory engagement or exploitative specialization. We argue for a more nuanced interpretation of innovation networks that acknowledges both its structural heterogeneity in shaping understandings of knowledge flows and providing policymakers with insights on organizations’ patterns of using digital infrastructures in other sectors and more complex configurations in the global system. The implications of this study could inform a policy framework in innovation governance on how actors can use their network resources for knowledge accumulation and coordination toward systemic innovation and that networks can function differently in alternative institutional contexts.

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Rakhimova Gulnoza mail -

Dilfuza Kuzikulova mail

link https://doi.org/10.54216/AJBOR.130201

Volume & Issue

Vol. Volume 13 / Iss. Issue 2

Details open_in_new

American Journal of Business and Operations Research | 2025

Network Structures and Systemic Dynamics of Globalization Processes: Gephi Based Analysis

In this study, we look at globalization processes over a longitudinal time horizon in the global system to reduce the fragmentation of analytical perspectives while integrating structural and relational dimensions. The analysis examines the dynamics of a complex network in global contexts, including economic, technological, institutional, and informational linkages, to identify systemic patterns that have implications for governance in the area of global integration. Based on a theoretical framework, we position this research to improve the understanding of globalization dynamics into empirically observable structures for the scholarly community. In this paper, we provide empirical insights into the structure of global networks by showing how connectivity and centrality have jointly shaped interaction patterns and asymmetries in the globalization process, affecting the stability of the system. Within each of these dimensions, we integrated observations into a multi-level repeated-measures analysis of network indicators (nodes × ties). Differences were assessed by use of a combination of correlation techniques and regression models, and network metrics within the global system that are relevant to these dynamics. Gephi-based visualization resulted in the exclusion of isolated components not being used for explanatory modeling and statistical testing. A significant main effect was found for network type and it influenced only the strength of associations and structural dependencies. The interaction of global actors of different system positions with other forms of global connectivity through network structures suggests that actors who are new to operating in a highly connected system may be at an increased risk of marginalization. Because increases in these structural imbalances have been associated with an increased likelihood of system-level instability, network-oriented analysis is an effective and integrative approach with potential to improve analytical rigor, policy relevance, and to inform globalization-related decision-making.

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Khasanova Zarina mail

link https://doi.org/10.54216/AJBOR.130202

Volume & Issue

Vol. Volume 13 / Iss. Issue 2

Details open_in_new

Journal of International Economics Research | 2025

Digital Marketing Tools in the Textile Industry: A Framework for Channel Selection and Performance Measurement

This article develops a reproducible framework for selecting digital marketing tools in the textile industry and for measuring performance for national brands with weak digital salience. The study covers 2021–2024 and uses a conceptual-methodological design: (i) a structured synthesis of peer‑reviewed research on digital marketing, customer journey and marketing metrics, and (ii) operationalization into seven implementation tables. A two‑tier measurement protocol is proposed: Tier A relies on open signals (official statistical releases, publicly observable Instagram/Meta signals, and a Google Trends branded‑search index as a proxy for awareness), while Tier B (when firm access exists) uses Google Analytics 4 (GA4) and CRM/sales data to compute conversion, customer acquisition cost (CAC), return on marketing investment (ROMI), and customer lifetime value (LTV). Results include a tool taxonomy (social media marketing, content, influencer marketing, SEO, PPC, analytics, CRM automation, AI personalization, AR/VR), a unified KPI dictionary, a digital maturity model, a risk/limitations map, a data‑accessibility matrix, and a 90‑day roadmap. The framework enables firms to move from reach‑only reporting to conversion and retention management under explicit data constraints.

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Tatyana Nam Gennadyevna mail

link https://doi.org/10.54216/JIER.020203

Volume & Issue

Vol. Volume 2 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2025

On Complex Fuzzy Soft Graph With Operations

The goal of this paper is to study complex fuzzy soft graph (CFSG). We introduce the concept of complex fuzzy soft graph from apply complex fuzzy set on fuzzy soft graph. The notations and definitions of some operations on two complex fuzzy soft graphs presented such as union, cartesian product, tensor product, normal product and composition of two complex fuzzy soft graphs. Also, a decision-making (DM) problem on supply chain management is discussed.

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Sana Abu-Ghurra mail -

Ghada Alafif mail -

Eman A. AbuHijleh mail -

Firas Safi mail

link https://doi.org/10.54216/IJNS.260331

Volume & Issue

Vol. Volume 26 / Iss. Issue 3

Details open_in_new

Fusion: Practice and Applications | 2025

Administrative Empowerment at Egyptian Universities: Field Study at Al-Arish University

This study aims to evaluate the reality of administrative empowerment in Egyptian universities, with a case study conducted at Al-Arish University, considering national efforts to improve institutional performance and the quality of higher education. Using a descriptive-analytical design, data was gathered through a structured questionnaire distributed to a purposeful sample of 40 administrative staff and mid-level managers. Data gathered from the structured questionnaire were analyzed to determine the levels of administrative empowerment at each of its key dimensions by using descriptive statistical methods comprising frequency distributions and weighted means. The study investigates the effectiveness of empowerment practices and their influence on institutional outcomes. Findings reveal a broad disparity between theory and practice with the levels of empowerment ranging from low to moderate. The major hindrances to participation are poor employee participation in decision-making, a lack of managerial support, discriminatory workplace culture, and low leadership development. Restricted senior management-employee interactions were also reported to hinder participatory practices. The study recommends that empowerment policies with clarity, actionable implementation strategies, and organizational resolve are necessary for creating a positive and motivational work culture. Recommendations made include enhancing internal communication, innovation, and incentive mechanisms to improve administrative performance. Such steps are vital to ensuring a productive environment to facilitate sustainable development and institutional change. Empirical findings demonstrate the significance of strategic empowerment to aid governance reform and quality assurance in Egyptian higher education.

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Amr El Koshiry mail -

Entesar Eliwa mail -

Ahmed Abd Allah Tony mail -

Ahmed Mahmoud Lotfy El-Masry mail

link https://doi.org/10.54216/FPA.200215

Volume & Issue

Vol. Volume 20 / Iss. Issue 2

Details open_in_new

Journal of International Economics Research | 2025

Organizational Mechanism of Interaction of Higher Education Institutions of Belarus and Uzbekistan with Employers

Research shows that effective communication between higher education institutions and employers contributes to the development of competent personnel prepared to solve real-world problems in production and business. This issue is highly relevant given rapid changes in the economy and technological processes, requiring the constant adaptation of educational programs and advanced training for graduates. This article examines areas of cooperation between universities in Belarus and Uzbekistan and proposes a model for their interaction with enterprises in the real sector of the economy in the context of the emerging knowledge economy and the trend toward developing education as a key element of scientific, technical, and innovation policy.

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Karpovich Viktar mail -

Ponomareva Natallia mail

link https://doi.org/10.54216/JIER.020204

Volume & Issue

Vol. Volume 2 / Iss. Issue 2

Details open_in_new

Galoitica: Journal of Mathematical Structures and Applications | 2025

Development of Numerical Algorithms for Solving Nonlinear Partial Differential Equations

This study focuses on the development of efficient numerical algorithms for solving nonlinear partial differential equations (PDEs). The research integrates theoretical analysis and practical numerical experiments to address the challenges posed by nonlinear PDEs, which often lack closed-form solutions and exhibit sensitivity to initial and boundary conditions. Benchmark models such as Burgers’ Equation, the Korteweg–de Vries (KdV) Equation, and the Navier–Stokes Equations are highlighted due to their significance in physical and engineering applications. Traditional numerical methods—Finite Difference Method (FDM), Finite Element Method (FEM), and Finite Volume Method (FVM)—are reviewed with respect to accuracy, stability, and computational efficiency. Numerical stability concepts, including Von Neumann analysis and the CFL condition, are discussed alongside sources of error and strategies for error reduction. New algorithms were proposed by enhancing traditional schemes, incorporating adaptive mesh refinement, and integrating stability techniques. Numerical experiments on benchmark problems demonstrated improved accuracy, enhanced stability in handling nonlinear terms, and acceptable computational efficiency. The findings emphasize the importance of selecting suitable numerical methods, conducting stability analysis, and applying adaptive techniques. The study recommends higher-order schemes, conservative formulations for fluid dynamics, and double precision when necessary, ensuring reliable and reproducible computational results.

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Zahraa Ahmed Sahib mail -

Najmeh Malek Mohammadi mail

link https://doi.org/10.54216/GJMSA.120203

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new