Mathematics: Recent submissions

  • Mathematical Model for Dengue Transmission Dynamics 
    Munasinghe, Jayantha; De Silva, Mihiri M; Jayasooriya, Lakna Kaumadee (Department of Mathematics, Faculty of Science, University of Kelaniya, 2024)
    Dengue is a rapidly emerging pandemic disease in many parts of the world, especially in tropical and non-tropical areas. The dengue outbreak has a multisectoral impact on the medical, societal, economical, and political ...
  • Phylloremediation of pyrene and anthracene by endophytic fungi inhabiting tea leaves (Camellia sinensis (L.) Kuntze) in Sri Lanka 
    Undugoda, Lanka; Thambugala, Kasun; Kannangara, Sagarika; Munasinghe, Jayantha; Premarathna, Nadeeka; Dharmasiri, Nadeema (Tylor & Francis, 2023)
    Polyaromatic hydrocarbons (PAHs) released from vehicular emissions and oil refineries deposit on the phyllosphere, compromising the quality of leaf-based food products by posing many health issues. Nevertheless, the tea ...
  • A Study on Electronic Services Provided by the National Library of Sri Lanka 
    Thilakarathna, M.D.B.C.M.; Wanigasooriya, Priyanwada (Department of Library and Information Science, University of Kelaniya, Sri Lanka, 2023)
    Electronic services are information services in electronic format that are handled by a computer device and encoded for handling. The National Library of the world provides a wide range of electronic library services to ...
  • Improving Sinhalese Personal Name Authority Control in Sri Lankan Online Public Access Catalogues (OPACs) 
    Wanigasooriya, Priyanwada (Department of Library and Information Science, University of Kelaniya, Sri Lanka, 2023)
    Personal names play a crucial role in locating books systematically and identifying individuals. Previous studies have emphasized that searching by an author's name is the most common method used by library users in automated ...
  • User perception of Electronic Services (E-Services) in university libraries Sri Lanka 
    Caldera, T.K.I.M.; Wanigasooriya, A.W.A.P.L. (Department of Library and Information Science, University of Kelaniya, Sri Lanka, 2023)
    Electronic services in university libraries refer to the digital and electronic resources, tools, and services provided by the library to support teaching, learning, research, and information access in an online environment. ...
  • Maximal embedding genus of 3-edge connected harary graphs 
    Withanaarachchi, W.A.K.D.H.; Almeida, S.V.A.; Wijesiri, G.S. (Faculty of Science, University of Kelaniya Sri Lanka, 2023)
    One of the most prominent problems of topological graph theory is to determine the type of surface a nonplanar graph can be embedded. Almost complete results have been obtained for 4-edge connected graphs. The methods that ...
  • Asymptotic dynamics of a periodic toxin-producing phytoplankton model 
    Dilshani, P.P.; De Silva, T.M.M. (Faculty of Science, University of Kelaniya Sri Lanka, 2023)
    Harmful algal blooms (HABs) caused by Toxin-Producing Phytoplankton (TPP) have become increasingly common worldwide. Understanding the complex interactions between TPP and other organisms in the ecosystem is crucial. This ...
  • An application of graph theory in asymmetric key cryptography 
    Fernando, K.K.N.; Wijesiri, G.S. (Faculty of Science, University of Kelaniya Sri Lanka, 2023)
    The development of digital communication in many facets of our everyday lives significantly impacts the evolving world we live in today. The rapid growth and evolution of digital communication have become the backbone of ...
  • Enumeration of heterotrophic, iron-precipitating bacteria in the soil samples collected from urban waste dumping sites, Matara district, Sri Lanka 
    Maduwanthi, D.M.S.K.; Geeganage, S.D.L.; Perera, T. W.N.K. (Faculty of Science, University of Kelaniya Sri Lanka, 2023)
    Heterotrophic, iron-precipitating bacteria are capable of using organic radicals from soluble organic iron salts. This is widely applied in the removal of iron from organic solutions and during the decomposition of organic ...
  • Investigation of the mixed cation effect and the irradiance level dependence on the efficiency of dye‑sensitized solar cells 
    Wickramasinghe, H. M. N.; Karunathilaka, N. G. A.; Gnanarathne, D. M. T.; DeSilva, L. Ajith; Bandara, K. M. S. P.; Bandara, T. M. W. J. (Faculty of Science, University of Kelaniya Sri Lanka, 2023)
    The development of photoelectrochemical energy conversion devices holds immense significance in addressing the escalating demand for renewable and environmentally benign energy. By harnessing the synergistic effects of ...
  • Solutions of Sturm-Liouville Problems 
    Perera, U.; Böckmann, C. (Mathematics, 2020)
    This paper further improves the Lie group method with Magnus expansion proposed in a previous paper by the authors, to solve some types of direct singular Sturm–Liouville problems. Next, a concrete implementation to the ...
  • Solutions of Direct and Inverse Even-Order Sturm-Liouville Problems Using Magnus Expansion 
    Perera, U.; Böckmann, C. (Mathematics, 2019)
    In this paper Lie group method in combination with Magnus expansion is utilized to develop a universal method applicable to solving a Sturm–Liouville problem (SLP) of any order with arbitrary boundary conditions. It is ...
  • Kauffman bracket versus Jones polynomial skein modules 
    Almeida, Shamon; Gelca, Razvan (arXivLabs, 2022)
    This paper resolves the problem of comparing the skein modules defined using the skein relations discovered by P. Melvin and R. Kirby that underlie the quantum group based Reshetikhin-Turaev model for SU(2) Chern-Simons ...
  • Investigation of a best fitting mathematical model for the frequency of occurrence of Trichoderma harzianum in Hakgala Montane Forest in Sri Lanka 
    Munasinghe, J.,; Jayalath, T. D.,; Kannangara, B. T. S. D. P., (International Conference on Applied and Pure Sciences, 2020 Faculty of Science, University of Kelaniya, Sri Lanka, 2020)
    Trichoderma is a genus commonly found in the soils of all climatic zones. All most all the species of Trichoderma can produce antimicrobial antibiotics and are good competitors of fungal pathogens, which promote plant ...
  • Analytical solutions of the time-fractional non- linear Schrodinger equation with zero and non-zero trapping potential through the sumudu decomposition method 
    Mathanaranjan, K.; Himalini, K. (Journal of Science of the University of Kelaniya Volume:10, 2019)
    Sumudu decomposition method is used to construct the approximate analytical solutions of time-fractional nonlinear Schrodinger equations with zero and nonzero trapping potential. The Sumudu decomposition method is a ...
  • Tidal variation m the west coastal area of Sri Lanka. 
    Munasinghe, J.; Gunasekera, H.D.S. (International Conference on Computational Modelling and Simulation-2017 (ICCMS 117), Department of Mathematics, Faculty of Science, University of Kelaniya, Sri Lanka., 2017)
    The present study was carried out in an attempt to observe and analyze the tidal height changes due to the motion of the sun, moon and earth, in the west coastal area of Sri Lanka. Tidal height deviations from the Mean Sea ...
  • Centrality Measures to Identify Traffic Congestion on Road Networks: A Case Study of Sri Lanka. 
    Jayaweera, I.M.L.N.; Perera, K.K.K.R.; Munasinghe, J. (IOSR Journal of Mathematics (IOSR-JM), Department of Mathematics, Faculty of Science, University of Kelaniya, Sri Lanka., 2017)
    This study presents a graph theoretical approach to identify the traffic congestion on a road network. Problem address on a city called Kiribathgoda situated in the western province of Sri Lanka. In the analysis of social ...
  • Confirmation of earth’s closed loop orbit using tidal waves. 
    Munasinghe, J; Kekulawala, K.I.S. (Sri Lanka Association for the Advancement of Science Proceedings of the 73rd Annual Sessions - 2017 , Department of Mathematics, University of Kelaniya,Sri Lanka., 2017)
    The word 'tide' is a prevalent term used to define the alternating rise and fall in the sea level wit respect to the land, produced by the gravitational attraction of the moon and the sun. To a bett understanding of the ...

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