College of Science / Department of Mathematics

Feras M. Al Faqih


Professor
Feras M. Al Faqih

Curriculum Vitae
  • Major: Numerical Analysis
  • College: College of Science
  • Department(s): Mathematics Department
  • E-mail: falfaqih@ahu.edu.jo
  • Phone No.: 00962-3-2179000Ext.6303

Feras M. AlFaqih is a Professor in School of Mathematics- College of Science at AL Hussein Bin Talal University where he has been a faculty member since 2000 - 2004 at Jerash University - Jordan, a faculty member since 2004- 2012 at King Faisal University- Saudi Arabia and he is a faculty member since 2012- till now at Al Hussein Bin Talal University. He is the College's Vic- Dean From 2014–2016, and he is the College's Dean  from 2016 - 2018..

Feras M. Al Faqih completed his Ph.D. at Moldova State University- Moldova and his undergraduate studies at Al Yarmouk University. His research interests lie in:

Approximation Solution of Integro- differential Equation -

 Numerical Methods -

Numerical Simulation for MHD -

       Graph theory -

  He has collaborated actively with researchers in several other disciplines of mathematical science. 


Research Interest ___________________________________________________

 Approximation Solution of Integro- differential Equation

         Numerical Methods

         Numerical Simulation for MHD

         Graph theory

 

A Note on Some Numerical Approaches to Solve a Neuron Networks Model
  • Research Summary
    • Space time integration plays an important role in analyzing scientific and engineering models. In this paper, we consider an integrodifferential equation that comes from modeling neuron networks. Here, we investigate various schemes for time discretization of a theta-neuron model. We use collocation and midpoint quadrature formula for space integration and then apply various time integration schemes to get a full discrete system. We present some computational results to demonstrate the schemes.
  • Research link
  • key words
On the edge irregularity strength of bipartite graph and corona product of two graphs
  • Research Summary
    • For a simple graph G, a map φ : V (G) → {1, 2, . . . , k} is called a vertex k-labeling. For any edge vu in G, its weight φ(vu) = φ(v) + φ(u). If all of the edges weights are distinct, then φ is called an edge irregular k-labeling of G. The minimum k for which the graph G has an edge irregular k-labeling is called the edge irregularity strength of G, denoted by es(G). In this paper, we determine an exact value of edge irregularity strength of complete bipartite graph Kn,2, corona product of Pn with P6 and Pn with C3.
  • Research link
  • key words
    Irregular labeling, irregularity strength, corona product, bipartite graph.
Direct-Approximate Methods for Solution of Singular Integral Equations with Complex Conjugation Defined on the System of Fejer Points on Contour Γ in Generalized Holder Spaces
Approximate Solution of Systems of Singular Integro- Differential Equations by Reduction Method in Classical Holder spaces
  • Research Summary
    • We have elaborated the numerical schemes of collocation methods and mechanical quadrature methods for approximate solution of singular integro- differential equations with kernels of Cauchy type. The equations are defined on the arbitrary smooth closed contours of complex plane. The researched methods are based on Fej�r points. Theoretical background of collocation methods and mechanical quadrature methods has been obtained in Generalized H�lder spaces.
  • Research link
  • key words
    Fejér points ·Singular integro-differential equations ·Collocation methods
ON CERTAIN CONDITIONS OF MULTIVARIATE POWER SERIES DISTRIBUTIONS
  • Research Summary
    • During the last decades, no researches have conducted in order to prove some properties of the of the multivariate power series distribution, as results of the present study proved that any multivariate power series distribution is determined uniquely from the mean –function of any marginal random variable. Furthermore these results indicated also that any given function satisfying certain conditions construct a random vector with multivariate power series distribution which has a mean of the marginal random variable. A useful technique can be applied in model building when we have information about the mean- function.
  • Research link
  • key words
    Multivariate Power Series Distributions, Defining Function, Maclaurin Expansion, Multivariate Logarithmic Distribution, Truncated Power Series Distributions.
Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces
  • Research Summary
    • The present paper deals with the justification of solvability conditions and properties of solutions for weakly singular integro-differential equations by collocation and mechanical quadrature methods. The equations are defined on an arbitrary smooth closed contour of the complex plane. Error estimates and convergence for the investigated methods are established in Lebesgue spaces.
  • Research link
  • key words
The Approximate Solving of Weakly Singular Integral Equations By Collocation and Reduction Methods
Some mathematical issues with MATLAB
  • Research Summary
    • The paper must have abstract not exceeding 200 words. In this paper, we shall investigate some mathematical difficulties that is facing learners and undergraduates in science and engineering when they use MATLAB. When solving some mathematical problems using this software, one may unfortunately, face the following: no answer at all, wrong answer, long and complicated answer. Therefore, our main aim is to investigate such problems through mathematical examples in order for the user to be aware of.
  • Research link
  • key words
    MATLAB; difficulties in MATLAB
INVESTIGATION ON CNTS-WATER AND HUMAN BLOOD BASED CASSON NANOFLUID FLOW OVER A STRETCHING SHEET UNDER IMPACT OF MAGNETIC FIELD
  • Research Summary
    • This study aims at considering the properties of heat transfer and magneto-hydrodynamics (MHD) Casson nanofluid at the existence of free convection boundary layer flow with Carbon Nanotubes (CNTs) suspended in human blood/water as based fluid on a stretching sheet. Two types of CNTs nanoparticles, single walled carbon nanotubes (SWCNTs) and multi walled carbon nanotubes (MWCNTs), are taken into account. The governing partial differential equations are transformed to partial differential equations using similar transformation, then solved numerically by an implicit finite difference scheme known as Keller-box method (KBM). The results for physical quantities, the local skin friction, and local Nusselt number, as well as temperature and velocity, are discussed under the magnetic nanofluid Casson parameters. This work is compared with recently published results on the Newtonian fluid as a special case and shows very good agreement.
  • Research link
  • key words
    Casson Nanofluid fluid; MHD, Stretching Sheet; SWCNTs and MWCNTs
Approximate Solution of Singular Integro-Differential Equations for displaced Fejer Points
  • Research Summary
    • The main proposal of this article is the investigation and theoretical background of the direct-approximate methods for the numerical solution of singular integro-differential(SIDE) equations(Cauchy type kernel) with unknown function defined on the smooth contours of the Lypunov type. The equations are studied in the Lebesgue spaces. The SIDE are defined on the displaced Fej´er points of complex plane. The numerical schemes of collocation and mechanical quadrature methods for the SIDE defined on an arbitrary smooth closed contour of complex plane are elaborated. The theorems of convergence of these methods have been proved in Lebesgue spaces.
  • Research link
  • key words
    Displaced Fejer points, Singular Integro-Differential Equations, Collocation Method, Mechanical Quadrature Methods
Constructing a Train of Soliton Solutions for the Three-Wave-Interaction Equations
  • Research Summary
    • An exact solution of the Three-Wave-Interaction (TW I) equations is well known by a compact formula called the N−soliton solution, a deep look to this solution shows that we need to find the inverse of some matrix whose entries are long formula of functions depend on time t and one spatial dimension x, which becomes very complicated for large N. An interested physical problem is to study the analytic form of the solution of the (TW I) for large N, in order to build what is called a train of soliton solutions, which will enable us to construct a pulse of a lot number of humps. Here, we simplified the form of the (N +1)− soliton solutions, and wrote it in terms of the N− soliton solutions plus some extra terms, then we approximated these terms and made them very simple. This will enable us to build the train of soliton solutions one by one by simply add these terms each time. We also examined successfully the (N +1)−soliton solutions for small values of N analytically and graphically
  • Research link
  • key words
    Three-Wave-Interaction equations, N-Soliton solution formula
Convergence of the collocation method and the mechanical quadrature method for systems of singular integro-differential equations in Lebesgue spaces
  • Research Summary
    • Computational schemes for the collocation method and the mechanical quadrature method for the approximate solution of systems of singular integro-differential equations with a Cauchy kernel are elaborated. The case where the systems of equations are defined on an arbitrary smooth closed contour of a complex plane is examined. The methods researched are based on Fejér points. Estimates of the rate of convergence in Lebesgue space are obtained.
  • Research link
  • key words
    Collocation methodLebesgue spacesSystems of singular integro-differential equationsFejér points
Direct methods for the solution of singular integral equations with finite zeros in pairwise
  • Research Summary
    • We obtain the numerical schemes of collocation methods and mechanical quadratic methods to approximate the solutions of the singular integral equations. The equations are defined on the arbitrary smooth closed contour of the complex plane. Theoretical background for these methods is proved in classical H¨older spaces in the case when singular integral equations have finite number of different zeros in pairwise.
  • Research link
  • key words
    Singular Integral Equations, Collocation Methods, Mechanical Quadratic Methods
Approximate Solution of Weakly Singular Integral Equation by Mechanical quadrature method
The Reduction Method for Approximation Solution of Systems of Singular Integro-Differential Equations in Lebesgue Spaces ( case )
  • Research Summary
    • : In this article we have elaborated the numerical schemes of reduction methods for approximate solution of system of singular integro-differential equations when the kernel has a weak singularity. The equations are defined on the arbitrary smooth closed contour of complex plane. We suggest the numerical schemes of the reduction method over the system of Faber-Laurent polynomials for the approximate solution of weakly singular integro- differential equations defined on smooth closed contours in the complex plane. We use the cut-off technique kernel to reduce the weakly singular integro- differential equation to the continuous one. Our approach is based on the Krykunov theory and Zolotarevski results. We have obtained the theoretical background for these methods in classical Lebesgue spaces.
  • Research link
  • key words
    Faber- Laurent Polynomials, systems of singular integro-differential equations, reduction methods
Approximate Solution of Singular Integro- Differential Equations in Generalized Holder Space
  • Research Summary
    • We have elaborated the numerical schemes of collocation methods and mechanical quadrature methods for approximate solution of singular integro- differential equations with kernels of Cauchy type. The equations are defined on the arbitrary smooth closed contours of complex plane. The researched methods are based on Fejér points. Theoretical background of collocation methods and mechanical quadrature methods has been obtained in Generalized Hölder spaces.
  • Research link
  • key words
Direct method for solving singular integral Equations with shifts in the unit circle
  • Research Summary
    • The computation schemes of spline-collocation methods for solving singular integral equations. A theoretical foundation of these two methods is obtained in space L2. In the present paper we give theoreticaly justification of the numerical schemes of spline-collocation method for solving the singular integral equations (SIE) of the following form
  • Research link
  • key words

Feras M Al Faqih & Others  

 " Direct-Approximate Methods for


 Solution of Singular Integral Equations


 with Complex Conjugation Defined on the


 System of Fejer Points on Contour Γ in


 Generalized Holder Spaces" 21st


 International Conference on Mathematical


 Methods, Computational Techniques and


 Intelligent Systems (MAMECTIS '19) ,


 Rome, Italy, May 25-27, 2019.


***********

Feras M Al Faqih, Iurie Caraus, 

" Approximate solution of Singular Integro-Differential Equations for displaced Fejer point" - 7th International Conference on

APPLIED and COMPUTATIONAL MATHEMATICS (ICACM '18) Rome, November 23-25, 2018 , Published in the conference Proceedings which is indexed in ISI.
**********

Feras M. Al Faqih, Iurie Caraus, Nikos E. Mastorakis ,

"The Numerical solution of systems of Singular Integral

Equations by reduction methods in generalized Holder spaces"

Presented on

17th International Conference on

MATHEMATICAL and COMPUTATIONAL METHODS in SCIENCE and

ENGINEERING (MACMESE '15)

Kuala Lumpur, Malaysia

April 23-25, 2015

Published in the conference Proceedings which is indexed in ISI.


 *************


Feras M. Al Faqih, Nikos E. Mastorakis  ,Iurie Caraus

“Reduction Method for the Solution of Weakly Singular Integro-Differential Equations”

Published in the proceedings of the 18th International Conference on Applied Mathematics (AMATH13) to be held in Budapest, Hungary,  December 10-12, 2013

************

Feras M. Al-Faqih

"Projection- Iterative Methods for solving Singular Integral Equations in Lebesgue Spaces"

Proceedings of the 15th American Conference on Applied Mathematics ( MATH'09)

Houston, USA, 31 April – May 2, 2009

www.wseas.org/conferences/2009/usa/math/index.html


     F. Al-Faqih

“ On the theory of the harmonic vibration of

transversally isotropic plates”// The fourth scientific day

for faculty of science &arts.

Seminar in   Jordan University of Science & Technology.


Founded a workshop entitled " MATLAB" in Al Hussien Bin Talal University, Jordan

Participated in many workshops in several University in jordan 


:Committees 

2020- 2021

 

Member of the higher studies committee in the Deanship of the higher studies and Scientific research, Al-Hussein Bin Talal University.

2020- 2021


Member of the Editing board Journal 

Al- Hussein Bin Talal University

2019- 2020

 

 

 

 


 

 

 


 

 


 

 

 


 

Member of the disciplinary committee for the faculty members - Al-Hussein Bin Talal University.


2016- 2018 

Member of Assignment & Promotion Committee, Al-Hussein Bin Talal University

2016- 2018 

Member of Dean Council / Al-Hussein Bin Talal University. 

2016- 2018

Member of University Council / Al-Hussein Bin Talal University.

2013- 2018

Member of Faculty Council, College of Science, A-Hussein Bin Talal University


2016- 2018  

                                              Chairman of Faculty Council, College of Science, Al-Hussein Bin Talal University

2014- 2018

                                  Chairman of the quality assurance and accreditation   Committee, College of Science, Al-Hussein Bin Talal University

2014- 2016

                               Teaching Staff Developing Council Member, Al-Hussein Bin Talal University.


:Supervisions

 

   Eman Al Arfaj, King faisal University – KSA- master


Heba Bani Saeed, Al Hussien Bin Talal University – Jordan -master


Haneen Al Khateeb, Al Hussien Bin Talal University- Jordan- master


Ahmad Al Naiemat, Al Hussien Bin Talal University – Jordan master


Hajar A. Alzawaideh, Al Hussien Bin Talal University – Jordan- master


N/A


:October 1995- May 1998 -

 Teaching Assistant, Department of Computational Mathematics, College of Mathematics, Moldova State University, Kishenev, Moldova.



 


 :September 1998 - May 1999 -

Lab Supervisor Department of Computational Mathematics, College of Mathematics, Moldova State University, Kishenev, Moldova.

  


:October 2000- Sep. 2004 -

Assistant Prof. (as a full-time lecturer), Faculty of science, Mathematics Departments, Jerash University, Jerash, Jordan

 

 :September 2004 – March 2010 -

Assistant Prof. (as a full-time lecturer), Faculty of science

                                            Mathematics Departments, King Faisal University, AlAhs’a,

                                                         Saudi Arabia.

      June 2005 – August 2005 -

Assistant Prof. (as a part-time in the summer Semester.)

                                                        Al Ta’ef University, Al Ta’ef, Saudi Arabia.

   

     June 2005 – August 2005 -

Assistant Prof. (as a part-time in the summer Semester.)

                                                        Jerash University, Jerash, Jordan.

 

     March 2010 – September 2012 -

Associate Prof., Faculty of science, Mathematics

                                             Departments, King Faisal University, AlAhs’a, Saudi Arabia

 

    September 2012 – April 2013 -

Full time lecturer of the rank of Assistant Professor

                                                         Department of Mathematics, Faculty of science

                     Al Hussein Bin Talal University, Ma’an, Jordan.

  

   April 2013 – September 2013 -

Full time lecturer of the rank of Associate Professor

                                                        Department of Mathematics,Faculty of science, Al Hussein Bin Talal University Ma’an, Jordan.

 

  September 2013 – September2014 -

Associate Professor, Department of Mathematics, Faculty

  of science, Al Hussein Bin Talal University, Ma’an, Jordan

 

September 2014 - till - date

Professor, Department of Mathematics, Faculty

                                                      of science, Al Hussein Bin Talal University, Ma’an, Jordan.

Administrative Experiences:

 

Position

Place of work

Date

Dean Faculty

of Science

 

Faculty of Science –

Al Hussien Bin

Talal Univ.

7/09/2016

Till date

Vice-Dean Faculty

of Science

and Head Dep. of

Mathematics

Faculty of Science –

Al Hussien Bin

Talal Univ.

07/09/2015

–

07/09/2016

Vice-Dean Faculty

of Science

Faculty of Science –

Al Hussien Bin

Talal Univ.

07/09/2014

–

till date

Coordinator of

Mathematical

Department

King Faisal University

(KFU)

Teachers College – Dep.

Of Mathematics. (KSA

08/09/2007 – 26/0/2009

Coordinator of

Mathematical

Department

Jerash University

Faculty of Science.

Dep. Of Mathematics

01/10/2003 – 30/09/2004

All Calculus Courses
All Differential Equations Courses
Numerical Analysis Courses for Under g. and Graduate Courses
All Linear Algebra Courses
Set Theory
.
.
And Other Courses


 

Courses taught:

1.    Calculus I     

2.    Calculus II

3.    Calculus III

4.    Numerical Analysis I & II ( Undergraduate )

5.    Numerical Analysis ( Graduate studies )

6.    Fundamentals of Mathematics

7.    Mathematical Logic

8.    Discrete Mathematics

9.    Set Theory

10.           Linear algebra 1.

11.           Linear algebra 2.

12.           Bio-statistics.

13.           Euclidean geometry.

14.           Introduction to Statistics & Probability.

15.           Mathematical Statistics.

16.           Statistically Methods.

17.           Introduction to Mathematics.

18.           Experimental and Analysis  Design.

19.           Abstract Algebra.

20.           Algebra and Analytic Geometry.

21.           Groups Theory.


MATHEMATICAL MODELS FOR CONVECTIVE HEAT TRANSFER AND MHD EFFECTS ON CASSON NANOFLUID FLOW
المزيد من التفاصيل
    The steady boundary layer flow and heat transfer over a stretching sheet in Casson nanofluid with the effected by a magnetic field will be studied. Iron oxide (Fe2O3) and Silver (Ag) in Ethylene Glycol and water-based Casson nanofluid will be considered. Tiwari and Das’s nanofluid model was used to investigating the impact of related parameters on a natural convective flow. The Keller box method will be employed to solve the transformed governing PDEs. Numerical and graphical results will be obtained by using MATLAB and Maple softwars, in addition to studying and analyzing the influence of related parameters, on the velocity, temperature, skin friction coefficient, and Nusselt number.

·       Good Experience in application  of mathematics and  Statistics in Mat lab  ,  Matematica  , SPSS  ,   

                SAS , Minitab & MATLAB


Academic qualifications and certificates

Ph.D. Computational Mathematics - Moldova State University                      Kishinev- Moldova                     

  B.Sc. Mathematical Statistics - Yarmouk University

     Irbid- Jordan                         

office hours

In Summer Semester will be assigned 

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