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Latest Published Articles

Gallery of integrating factors for non-linear first-order differential equations

EASL-Vol. 4 (2021), Issue 4, pp. 17 – 25 Open Access Full-Text PDF
Albert Adu-Sackey, Gabriel Obed Fosu, Buckman Akuffo
Abstract:This paper discusses a gallery of useful results in connection with integrating factors that are often left as problems for discovery learning and are generally not taught in typical Ordinary Differential Equations courses. Most often than not the approach earlier writers employ is to give a possible form for an integrating factor that may results in an integrating curve without practical prove as far as the subject matter is concerned. In this write-up, an attempt is made by solving the resulting partial differential equation emanating from an underlining general differential equation of a non-exact form, by the use of the ratio theorem to establish various intricate possibilities of integrating factors that are seldom and often relegated to the background, even though they may be equally be applied as a function of a unitary variable or a linear combination of both the dependent and independent variables under certain conditions. Granted an integrating factor is found and such a function applied, the benefit is enormous especially the non-exact differential equation reduces into a known type which may be identified as exact, homogeneous, and or separable that yields a solution.
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The relationship between the energy efficiency of buildings and occupants: A review

EASL-Vol. 4 (2021), Issue 4, pp. 5 – 16 Open Access Full-Text PDF
Muhammad Usman Farooq, Abdul Ahad, Zeeshan Maqsood, Niranjan Devkota, Syed Naqi Raza
Abstract:Green buildings are supposed to provide a sustainable solution for energy usage, but their low performance raised some questions in the literature. The researchers determine that occupants are the key factor for this energy deficiency. In the last two decades, a stream of research focuses on the greening of occupants, but a synthesis of findings and results are absent in the literature. In this study, we reviewed the literature on green buildings and occupants. Based on the findings we classified four classes. The first class consists of green occupants and green buildings, which is the ideal solution for high-energy efficiency. The second class is of brown occupants and green buildings and is the prime reason behind outperformed green buildings and yields negative-medium level efficiency. The third class comprises green occupants and brown buildings and yields positive-medium level efficiency, which helps to start the journey towards sustainability. The fourth class is the combination of brown buildings and brown occupants and has the lowest efficiency and worst impact on the environment throughout the lifecycle. Further, we link these classes with the energy-saving efficiency of buildings and finally recommended an efficient solution for second and third world countries. The study contributes to green building literature and packed with managerial implications to gain the maximum benefits of green buildings.
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Digital high-speed data modulation techniques

EASL-Vol. 4 (2021), Issue 4, pp. 1 – 4 Open Access Full-Text PDF
Winston Tumps Ireeta, Esther Nabadda, George Isoe
Abstract:Most radio stations use frequency modulation (FM) to broadcast yet amplitude modulation (AM) ensures long distance modulation. The limitations of FM reception are the line of sight and the area of reception. These two parameters are much smaller in FM compared to AM which makes AM modulation have an added advantage over FM modulation. The results presented in this paper include; direct modulation at different bias currents and different transmission fiber lengths and the amplitude modulation using the Mach-Zehnder. The results show the possibility to transmit huge data at high speeds to over 100Gbps.
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The inverse sum indeg index (\(ISI\)) and \(ISI\) energy of Hyaluronic Acid-Paclitaxel molecules used in anticancer drugs

ODAM-Vol. 4 (2021), Issue 3, pp. 72 – 81 Open Access Full-Text PDF
Özge Çolakoglu Havare
Abstract:The inverse sum indeg index \(ISI(G)\) of a graph is equal to the sum over all edges \(uv\in E(G)\) of weights \(\frac{d_{u}d_{v}}{d_{u}+d_{v}}\). In this paper, we calculated the inverse indeg indices and inverse indeg energies that give information about the physicochemical properties and biological characteristics of Hyaluronic Acid-Paclitaxel conjugates used in the production of drugs used in the treatment of cancer disease. This study presents the relation between the ISI index and the ISI energy of the molecular graph of Hyaluronic Acid-Paclitaxel conjugates.
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Sandwich type results for meromorphic functions with respect to symmetrical points

OMA-Vol. 5 (2021), Issue 2, pp. 113 – 122 Open Access Full-Text PDF
Kuldeep Kaur Shergill, Sukhwinder Singh Billing
Abstract:In the present paper, we use the technique of differential subordination and superordination involving meromorphic functions with respect to symmetric points and also derive some sandwich results. As a consequence of main result, we obtain results for meromorphic starlike functions with respect to symmetrical points.
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Convergence analysis for a new faster four steps iterative algorithm with an application

OMA-Vol. 5 (2021), Issue 2, pp. 95 – 112 Open Access Full-Text PDF
Unwana Effiong Udofia, Austine Efut Ofem, Donatus Ikechi Igbokwe
Abstract:In this paper, we introduce a four step iterative algorithm which converges faster than some leading iterative algorithms in the literature. We show that our new iterative scheme is \(T\)-stable and data dependent. As an application, we use the new iterative algorithm to find the unique solution of a nonlinear integral equation. Our results are generalizations and improvements of several well known results in the existing literature.
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BOOK-foundations-of-mathematical-analysis-and-semigroups-theory
BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC