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8 articles for “approximate methods”
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Mathematical Approaches to Nonlinear Oscillatory Systems with Damping: Exact and Approximate Solutions
Abstract: The study of nonlinear oscillatory systems with damping is a key area of research in applied mathematics, particularly in the context of dynamical systems, stability analysis, and bifurcation theory. These systems, described by second-order nonlinear differential equations, exhibit a rich variety of behaviors, including periodic, quasi-periodic, and chaotic motions. The introduction of damping—representing energy dissipation—adds a layer of complexity, making the analytical and numerical solution of such systems a challenging …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 7–11 Read article
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From Differential Equations to Data Science: A Survey on Analytical Methods in Contemporary Problems
Abstract: The integration of differential equations and data science methods represents a dynamic and evolving approach to solving contemporary challenges across a wide range of disciplines, including engineering, physics, biology, economics, and finance. Differential equations have long served as fundamental tools for modeling continuous systems and processes, offering powerful insights into the behavior of natural and man-made phenomena. For example, they describe how heat diffuses through materials, how populations grow in …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 1–6 Read article
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A Systematic Review on Factors Contributing to Infertility
Abstract: Infertility is a multifactorial reproductive health condition affecting approximately 10–15% of couples worldwide and continues to represent a major clinical and social challenge. Despite substantial advances in assisted reproductive technologies, diagnostic methods, and therapeutic interventions, many couples still face difficulties in achieving pregnancy. The impact of infertility extends beyond physical health, often leading to emotional distress, social pressure, and financial burdens, especially in societies where parenthood is highly valued. Consequently, …
Published in International Journal of Tropical Medicines · Vol. 3, Issue 1, 2026 · pp. 31–35 Read article
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Study of Proximity Points and Fixed Points
Abstract: This paper explores the concepts of proximity points and fixed points, which are fundamental in mathematical analysis and nonlinear functional analysis. Fixed-point theorems play a crucial role in optimization, game theory, differential equations, and dynamic systems. Proximity points, an extension of fixed points, provide a more generalized approach, allowing near-coincidence rather than exact identity. The study discusses classical fixed-point theorems, such as Banach’s contraction principle, Brouwer’s fixed-point theorem, and Schauder’s …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 28–31 Read article
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Exploring Muscle Energy Technique as A Physiotherapeutic Intervention for Peripheral Facial Palsy: A Pilot Report
Abstract: Background: Peripheral facial palsy results from damage to the peripheral branches of the facial nerve, often presenting as a sudden weakness in the muscles on one side of the face. Research on the application of muscle energy technique (MET) for treating this condition is scarce. Therefore, the aim of this study was to assess the effectiveness of MET in the treatment of peripheral facial palsy. Methods: 15 patients suffering from …
Published in International Journal of Orthopedic Nursing and Practices · Vol. 2, Issue 2, 2024 · pp. 21–29 Read article
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Applications of Nanotechnology in Advanced Cosmeceuticals
Abstract: Nanotechnology is the study and manipulation of atoms and molecules on the nanoscale, which is approximately 80,000 times smaller than the width of a human hair. By 2015, the global market for products incorporating nanomaterials is projected to reach $2.6 trillion. This field showcases significant progress in research and development by improving product performance and introducing innovative solutions.The usage of cosmetics has increased significantly throughout time, and they are thought …
Published in Recent Trends in Cosmetics · Vol. 2, Issue 1, 2025 · pp. 8–16 Read article
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A Study on Determination of Seismic Susceptibility in Existing Buildings in Ward No-18 of Dhaka North Using Rapid Visual Screening (RVS) Method
Abstract: The research work presents a comprehensive analysis of the Rapid Visual Screening (RVS) method applied to 200 buildings in Ward No. 18 of Dhaka North City. The study focused on assessing the seismic vulnerability of these structures, categorizing them into damage grades based on the RVS evaluation. Strikingly, the findings revealed that 191 out of the 200 buildings were classified as damage grade 5, signifying severe structural deficiencies. In contrast, …
Published in International Journal of Climate Conditions · Vol. 1, Issue 1, 2024 · pp. 28–37 Read article
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Persistent Atmospheric and Ecosystem Impacts of Enteric Methane Emissions from Intensive Livestock Production Systems
Abstract: Enteric methane emissions from intensive livestock production systems exert a significant long-lasting influence on atmospheric stability and ecosystem integrity. Recent observations confirm that global methane emissions continued to rise through the early 2020s, with total emissions exceeding 620 teragrams per year by 2024, driven by expanding ruminant production and associated feed systems. Anthropogenic sources accounted for more than 330 teragrams per year, reflecting sustained growth in agricultural and fossil fuel …
Published in International Journal of Atmosphere · Vol. 2, Issue 2, 2025 · pp. 18–38 Read article