Calendar

Prof. Marwan Said Abualrub

Prof. Marwan Said Abualrub

Senior Lecturer, Preparatory Program / Mathematics

Address: P.O. Box: 127788, Abu Dhabi, UAE

Telephone: +971 (0)2 501 8478

Email: 

Dr. Marwan Abualrub earned his PhD in Applied Mathematics from the University of Illinois at Chicago, USA, in 1992.

Over the course of more than 30 years he has worked as a lecturer, assistant professor, associate professor, and full professor at seven universities across the world.

Dr. Abualrub has published many research articles and is currently the editor-in-chief of an international journal of applied mathematics and theoretical physics based in New York / USA.

He teaches students in the PhD in Applied Mathematics and Theoretical Physics program.

  • Mathematics, applied mathematics, and statistics
  • Mathematical Biology
  • Nonlinear Dynamical Systems
  • Nonlinear ODEs and PDEs
  • Diffusion
  • 1- Abualrub, M.S.: Diffusion Problems Arising in Mathematical Biology I. Dirasat, Natural and Engineering Sciences Journal, University of Jordan,Vol.23, No.1,pp.106-115, 1996.
  • 2- Abualrub, M.S.: Diffusion Problems Arising in Mathematical Biology II. Qatar University Science
    Journal, Vol.16, No. 1, pp.23-29, 1996.
  • 3- Abualrub, M.S.: Another look at the Nerve Action Conduction Problem. Bulletin of the Faculty of Science, South Valley University, Vol.1, No.1, pp.54-65, 1996.
  • 4- Abualrub, M.S. and El-Sherbiny, H.M.: A solitary wave solution to an Insect Dispersal Model . Bulletin of the Faculty of Science, South Valley University, Vol.1, No.1, pp.67-78, 1996
  • 5- Abualrub, M.S.: An Analysis to the Wavefront Solutions of the Modified Plankton-Herbivore Model. Journal of the Institute of Math and Computer Science , Vol.7, No.2, pp.63-66, 1996.
  • 6- Abualrub, M.S.: An Exact Travelling Wave Solution to an Insect Dispersal Model. Journal of the Institute of Math and Computer Science , Vol.8, No.1, pp.23-25, 1997.
  • 7- Abualrub, M.S.: An Analysis to the Traveling Wave Solution of a diffusive Model of an Epidemic. Tamkang Journal of Mathematics, Vol. 29, No.1,pp.65-68,1998. http://www.math.tku.edu.tw/english/journal/index.html
    Abstract: An SIR model of an eptdemic with spatial spread is considered; an equilibrium and stability analysis has been done, and then the behavior to the traveling wave solution of the model is obtained.
  • 8- Abualrub, M.S.: Long range diffusion-reaction model on population dynamics. Documenta Mathematica (J. of German Mathematician Union). Vol. 3,pp.331-340,1998.
    The paper has been published , by the Journal, in the Internet) To view the paper or get a reprint from the Internet, just click on: http://www.math.uiuc.edu/documenta/vol-03/vol-03-eng.html
    Abstract: A model for long range diffusion-reaction on population dynamics has been created, then conditions for the existence and uniqueness of solutions of the model have been found in L(p,q) norms.
  • 9- Abualrub, M.S.: Vaccination in a model of an epidemic. The International Journal of Mathematics and Mathematical Sciences (IJMMS), Vol.23, No.6, pp.425-429, 2000.
    (The paper has been published , by the Journal, in the Internet) To view the paper or get a reprint from the Internet, just click on:
    http://www.hindawi.com/GetArticle.aspx?doi=10.1155/S0161171200002696
    Abstract: A model, which describes an epidemic, has been considered. The logistic growth and
    vaccination have been included in the model. An equilibrium and stability analysis has been done to
    the model. Then a spatial Spread has been added to the model and a traveling wave solution has been obtained.
  • 10- Abualrub, M.S., Kanaan, Al-Shalabi, and Rawashdeh: Relevance Feedback: Experimenting with a Simple Arabic Information Retrieval System with Evaluation
    Accepted for publication in the International Journal of Applied science and computations, 2004.
    http://www.eiu.edu/~ijasc/index.html
    Abstract: Information retrieval is one of the most active research areas nowadays, motivated by the need for an effective system that can satisfy the user information needs. In the heart of an information retrieval system is the ranking algorithm that orders the answer set according to a similarity measure hoping to achieve satisfactory results. Unfortunately, a powerful system is needed to achieve a satisfactory answer set for the user. Here relevance feedback strategies can aid in enhancing the results. These strategies have been tested thoroughly on English text and proved effective. In this work we implement a simple system that enables us to deal with Arabic text and we examine some of the common relevance feedback strategies that have been shown to be effective in other languages.
  • 11- Abualrub, M.S.: Ibn Rushd “Averroes” and Medicine. IBN RUSHD FORUM for freedom of thought Journal.6th issue, 2004.
    The article is published in the following website:
    http://www.ibn-rushd.org/forum/Abualrub.html
    Abstract: Ibn Rushd was well known in the fields of astronomy, philosophy, mathematics, etc. This article sheds the light on one of his contibutions to medicine.
  • 12- Abualrub, M.S.: A solution to a non-linear partial differential equation (PDE) of parabolic type.International Journal of Applied sciences and computations,Vol.12,No.3,pp.148-151,Dec., 2005.
  • 13- Abualrub, M.S., Kanaan, Al-Shalabi, Nahar, and Al-modallal: N-Gram: a Method of Conflating Terms:
    An Approach to text Categorization and Question Answering Systems in the Arabic language
    International Journal of Applied science and computations,Vol.12, No.2, pp.113-127, 2005. http://www.eiu.edu/~ijasc/index.html
    Abstract: Our main application program walks through the implementation of the N-Gram technique for Question Answering Systems. The goal of this program is to try to find a paragraph in an Arabic document that can serve as an answer to a question. The implementation uses the Prolog Language. The overall idea is coupling an information retrieval system with a shallow approach to natural language processing. The essential first step in accomplishing this task is the categorization of texts. We mean that for search purposes the search must be guided toward only the related categories: say science, medicine, social problems? Society? history, and other vital categories. Our paper proceeds to attack this vital step, which must be handled as a separate task. We know that this task is already completed in a typical English corpus, such as, for example, the TREC-8 context. We describe the categorization of documents in detail and we also give an overview of advanced topics in this domain...
    The user asks a question in unstructured language but with a careful choice of words, since document categorization is based on word occurrence information. To process the user’s question we use mainly the N-gram, but to enhance the process for high occurrences success we remove some known suffixes, numbers, English words, and others, which are called Stop-Words. This process of removing words is called normalization. For simplicity we assumed that the collection of targeted documents is identified ahead of time r and stored as a text file. The rest of the words forming the question are farther processed by the body of our program, which sues N-Grams to compute the similarity between a word and other words from a paragraph of a selected document. Based on the similarity results, we may assign a value. Depending on the values for each word, a selected paragraph may be returned as an answer.
  • 14- Abualrub, M.S.: Existence and Uniqueness of solutions to a long range diffusive predator-prey
    Model. International Mathematical Forum (IMF) Journal, Vol.4 , No.40 , pp.1981-1991, 2009
    The article is published in the following website:
    http://www.m-hikari.com/imf-password2009/37-40-2009/abualrubIMF37-40-2009-1.pdf
    Abstract: A model for predator-prey has been considered, existence and uniqueness to long range diffusion of such model has been shown.
  • 15- Abualrub, M.S. : A Formula for solving a special case of Euler-Cauchy ODE. International Mathematical Forum (IMF) Journal, Vol.4 , No.40 , pp.1997-2000, 2009
    The article is published in the following website:
    http://www.m-hikari.com/imf-password2009/37-40-2009/abualrubIMF37-40-2009-3.pdf
    Abstract: A quick and simple formula has been introduced to solve a special case of non-linear nth Order Euler-Cauchy ODE.
  • 16- Abualrub, M.S. & Sulaiman, W.T.: A Note on Holder’s Inequality. International Mathematical Forum (IMF) Journal, Vol.4 , No.40 , pp.1993-1995, 2009
    The article is published in the following website:
    http://www.m-hikari.com/imf-password2009/37-40-2009/abualrubIMF37-40-2009-2.pdf
    Abstract: In this Note an easy method has been introduced to prove Holder’s Inequality.
  • 17- Abualrub, M.S. & Qudah M.A.: Existence of solutions to a model of long range diffusion involving flux. Journal of Applied Functional Analysis (JAFA), Vol.5, No.4, pp.370-376, 2010.
    Abstarct: A model for insect dispersal has been considered, existence and uniqeness of solutions to the long range diffusion involving flux for such model has been shown in L(p,q) spaces.
  • 18- Abualrub, M.S. & Abu Ghalyoun, O.: Traveling wave solution for a non-linear diffusive partial differential equation. Journal of Applied Functional Analysis (JAFA), Vol.6, No.4, pp. 308-313, 2011.
  • 19- Abualrub, M.S. & Qudah M.A.: Solitary and traveling wave solutions to a model of long range diffusion involving flux with stability analysis. International Mathematical Forum (IMF) Journal, Vol. 6, No. 27, pp. 1313 – 1318, 2011.
    http://www.m-hikari.com/imf-2011/25-28-2011/alqudahIMF25-28-2011.pdf
  • 20-Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Rakotoson Hanitriarivo, Wilfrid ChrysanteSolofoarisina: Study on Linear Canonical Transformation in a Framework of a Phase Space Representation of Quantum Mechanics. International Journal of Applied Mathematics and Theoretical Physics (IJAMTP) , Vol. 1, No. 1, pp. 1 – 8, 2015.
    http://article.sciencepublishinggroup.com/html/10.11648.j.ijamtp.20150101.11.html

EDITOR – IN – CHIEF

  • 21- Seth H. Frisbie, Erika J. Mitchell, Marwan S. Abualrub, Yousef Abosalem: Calculating the Lowest Reportable Concentrations of Toxic Chemicals in the Environment. International Journal of Applied Mathematics and Theoretical Physics (IJAMTP) , Vol. 1, No. 1, pp. 9 – 13, 2015.
    http://article.sciencepublishinggroup.com/html/10.11648.j.ijamtp.20150101.12.html
  • 22- Marwan S. Abualrub: Numerical solution to a nonlinear PDE of parabolic type. In preparation. 2016
  • 23- Abualrub, M.S., Frisbie, S.H., Mitchell, E.J., and Sarkar, B. : Calculating the lowest reportable concentrations of toxic chemicals in the environment. In preparation. 2017
    Abstract: Method detection limit (MDL) is perhaps the most important statistic used for the reporting of toxic chemicals in air, drinking water, wastewater, food, hazardous wastes, and other environmental samples. A toxic chemical measured at a concentration that is less than its MDL is reported as “not detected” and is generally considered to be absent from the sample and the environment. In contrast, a toxic chemical measured at a concentration that is greater than or equal to its MDL is reported at its measured concentration. Furthermore, many chemicals are so toxic that they cannot be measured to safe levels and the allowable limits must be set at the lowest reportable concentrations. We will demonstrate that the equation promulgated by 40 Code of Federal Regulations (CFR) to calculate MDL and used since 1981 to protect public health and the environment is incorrect. As a result, toxic chemicals in a large number of environmental samples may in fact be present at measurable concentrations even though they are currently being reported as “not detected”. In addition, the allowable limits for some extremely toxic chemicals may be incorrectly set too high. Therefore, the consequences of this error pose a risk to public health and the environment. The sources of this error will be explained and an improved equation is presented.