College of Education

 Talaat I. Hasan, Nejmaddin A. Sulaiman, Shaharuddin Salleh


In this paper, we consider the system of Volterra-Fredholm integral equations of the second kind (SVFIE-2). We proposed iterative kernel method (IKM) to solve SVFIE-2 and Aitken method on iterative kernel method(AM on IKM) for solving the problem. In addition, a theorem and two new algorithms are introduced. They are supported by numerical examples and simulations using Matlab.


Assist. Lecture Hardi Nabe Qmer
Mob. No.:- 07504302831
Publishing paper


 1- Forecasting energy data using singular spectrum analysis in the presence of outlier(s). 

Published in international journal of energy and statistic vol.2 no.2 pp.1-12.


2- A preliminary investigation into the effect of outlier(s) on singular spectrum analysis .

Published on Fluctuation and noise letters vol. 12 no. 4 pp.1-23. 


Assist Prof.L. Nazaneen Qadar M.Saeed

Mob.  No.:- 07504719903

Email: -

Publishing paper 

1- Study of Monomorphic Continuation.
     Publishedin Zanko (2003).

2- Study of S-functions.
     Published in Zanko (2005).

3- Matrix of meromerphic functions.
       Published in Zanko (2005).

4- Extension of Floqtet theorem.

     Published on  journal of Sulaimaniuniversity (2005).

5-Semi-regular lattice polyhedral.

    Published onjournal Kirkuk university(2009).

Dr. Fryad Husein Abdul-Qadr

Mob.  No.:- 07504627615

Email: -

Publishing paper

1- On analytic continuation .
Publishedin J. pure and applied since Unv. of Salahaddin.

2- Matrix meromerphic function .

Published in J. pure and applied since Unv. of Salahaddin.

3-Study of S-function.

Published in J. pure and applied since Unv. of Salahaddin.

4- Some properties of fundamental complex function.

Published onzanko of Sulaimanya.

5-Annihilating ideal graphs.

Published on Al-rafidain journal Kirkuk University.

6-Element ideal graphs.

Published onInternational research journal of pure algebra.

7- Element ideal graphs of a ring of integers.

Published on International research journal of pure algebra.

8- Zero diverse group and annihilate ideal groups of Zn.
Published on Al-rafidain journal mosul University.


Dr. Ivan Subhi Latif

Mob.  No.:- 07504536027

Email: -

Publishing paper

1- The effects of dependent data in unbalanced one way Model on Type I error rates for Multiple
 Comparason Procedure.
Publishedin Zanko (2004).

2-The effect of related data and correction proceder for F-test in unbalanced 2-way model.

Published on Journal of rafedene computers sciences and Mathematics (2005).

3- Detection and Treatment of outliers in data set.

Published onIRQ.J.S.S (2006).

4- An Efficient line search Algorithm for Large scale optimization.

Published onUniversity of Mosul college of computers sciences and Mathematics (2006).

5- A modified super linear QN-Algorithm for Unconstrained optimization

Published onIraqi Journal of statistical science (2006).

6- New conjugate gradient algorithm with self-Scaling optimization

Published onAl-Karak-Jordan Mu’TAH (2007).

7- Anew Type of preconditioned CG-Algorithm with Exactly desent condition for solving Non-linear
Unconstrained optimization.

Published onJ.ofDohukuniversity (2007).

8- A modified estimation for the step length of a descent nonlinear algorithm .
Published onJournal of University of Kirkuk scientific studies (2007).

9- A new preconditioned Inexact line-search Technique for Unconstrained optimization.

Published under theISS N 18 15-4816 (2007).

10- A new Three- Term Preconditioned Gradient memory Algorithm for Non linear optimization problem.

Published onJournal of Math &Stat.,4 Mathematics and Statistics (2008).

11- A non-convexdesant method for non-linear optimization problem.

Published onA.M.S.E (2009).

12- Global convergence of the quasi Newton BFGS algorithm with new  non monotone line search.

Published onint .Journal .open problems Comp.,Math. (2010).

13- A new  CG  algorithm with self-scaling VM-update for unconstrained Optimization.

Published onInt.journal (AAM),Texas,USA (2012).

14- Global convergence of new modified CG method with inexact line search.

Published onJournal of ZankoySulaimani part A (2014).

15- Anew combining Algorithm and its Global convergence for unconstraint optimization problem.

Published on  Journal of Basrah Researches(Sciences) (2014).

Assist. lecture Pakhshan Mohammed AmeenHasan

Mob. No.:- 07504795276

Email: -

Publishing paper

1- Numerical solution of second kind fredholm integral equation using chebyshev polynomial with linear
 programming method.
Publishedin Journal of  Salahaddin

Prof. Dr. Nejmaddin A Suleiman

Mob.  No.:- 07504633919 

Email: -  

Publishing paper:

1- Solving a System of Volterra-Fredholm Integral Equations of the Second Kind via Fixed Point
published on Oct 2015 in AIP conference proceedings

2- Using Harmonic Mean to Solve Multi-Objective Linear Programming problems.
Published on AIP conference proceedings American journal of operation research 2016, 6, 25-30

3-Using Optimal Geometric Averagetechnique to solve Extreme multi-objective Quadratics
programming problems.
Published onjournal of zankoysulaimani partA(JZS-A), 2016,201.

4- Using short-herarchical method to solve multi-objective linear fractional programming problems.
Published on 2nd Scientific Conference of garmianuniversit ,may6 and 7,2015

5- Transforming and Solving Multi- Objective Quadratic Programming Problems via Optimal Geometric
Average Technique
Published on2nd Scientific Conference of Garmin university ,may6 and 7,2015

6- New arithmetic average technique to solve multi objective linear fractional programming problem and
it is comparison with otherTechniques.
Published onIJRRAS 18(2) . February 2014.

7- Solving a System of Volterra –Fredholm Integral Equation of the second kind via series solution
Published onApplied Mathematical sciences ,Vol.8, 2014, no.44,2181-2194. IKARI Ltd  

8- Transforming and solving MOQFPP by optimal Average of maximin&Minimax Technique.
Published on American Journal of operation research Vol.3,no.3,pp.92-98 , USA, 2013

9- Solving QFPP.
Published onInternational Journal of Applied Mathematical Research, Vol.2, no.2, pp.303-309 , 2013,

10- A new modified simplex method to solve QFPP and compared it to a Traditional simplex method
,using Pseudo affinity of QFFs.
Published on Applied mathematical Sciences Vol.7,no.76, pp.3749-3764, 2013, Bulgaria

11- Using transformation technique to solve multi-objective linear fractional programming problem
Published on IJRRAS 14(3).March 2013.

12- Arithmetic average transformation technique to solve multi-objective quadratic programming
Published on journal of zankoysulaimani partA(JZS-A), 2013,15(1).

13- The number of w-periodic solutions of non-autonomous first order polynomial differential equation.
Published on academic journal, published by Koya University, no.  , 2012.

14- The sufficient conditions for the Existence and non-existence of positive periodic solution for
polynomial first order differential equations.
Published on J. Duhok Univ., Vol. 15, No.1 (Pure and Eng. Sciences), Pp 88-93, 2012

15- Optional cutting plane procedure for multi –objective quadratic programming problem.
Published onkoya university , no. 20, 2011, p(109-130)

16- The Method of homotopy  perturbation as applied to the numerical solution of volterra  integral
Published in an academic journal, published by koya university , no. 16 , 2010 , p(95-108).

17- Using mean and median values to Solve linear fractional multi objective programming problem.
Published onZanco Journal for pure and applied Science,  Salahaddin-Erbil university, vol.22 , no.5 ,

18- Neural network algorithms based on nonlinear unconstraint optimization.
Published on AMSE Journals, 09 528(IA) 2009 France

19- A modified conjugate gradient formula for back propagation neural network algorithm.
Published onJournal of computer science, 5(11) : 849-856,2009 USA .

20- Solution for certain system of fredholm integral equation of the first kind with symmetric kernels.
Published on An Academic Jornal Published by KoyaUniversity , No:13 , February  2009.

21- Some Numerical  Methods to Solve a System of Fredholm Integral Equations of the 2nd Kind with
Symmetric Kernel.
Published on Journal of Kirkuk University Scientific Studies vol.4 , no.2 ,  2009

22- Modification in Successive Approximation Method to Solve a System of Fredholm Integral Equations
 of the 2nd Kind.
Published on J. Kurdistan Academic , university of sulaimani, A,Vol.9,No.1.2011.

23- Using Resolvent kernel Method to Solve a system of liner Fredholm Iintegral Equations of the 2nd 
Published onZanco Journal for pure and applied Science, Salahaddin-Erbil university, 8/9/2009

24- Solving the multi objective Complementary programming problem (MOCPP) by using optimal
Published on(Al-Rafiden Journal of computer sciences and mathematics, Mosul University, Vol.6,
 No.3, 2009).

25- Optimal transformation technique to Solve multi objective linear programming problem (MOLPP),
Published on Journal of University Kirkuk scientific  studies, Vol.2, No.2.  2007.

26- Successive approximation method for solving F. I. E. of the  1st kind  with symmetric kernel.
Published on(Journal of education and science, university of mosul,Vol.21, No.4,2008)

27- Numerical solutions of F.I.E. of the 1st kind with degenerated kernel by  using hermit polynomial.
Published on Journal of education and science, university of mosul,Vol.18, No.4,2006 .

28- Solving the multi objective linear programming problem using mean and median value.
Published on(Al-Rafiden Journal of computer sciences and mathematics, Vol.3,No. 1, pp(69-83),

29- Fixed point method and its improvement to solving 2nd kind F. I. E.
Published on Journal of Dohuk university, Scientific & Academic, Vol.7, No.1, 2004 .

30- A new technique for solving 2nd kind linear F. I. E.
Published onAl-Rafiden Journal of  computer sciences, mathematics &atistics.Mosul university,
Vol.15, No.1, 2004.

31- Investigations on the convergence of successive approximation method for solving 2nd kind F. I. E.
Published onJournal of education and science, university of Mosul, 30-8-2000

32- A new method for multi-objective indefinite quadratic prog. Prob.

33- An approach for solving mul.obj. Fractional linear programming probl.
Published onJ. of Education College /University of Salahaddin-22-12-1990,V.3,no.1

34- Anew approach for solving M.O.I quadratic complementary program.
Published on J. of Science & Education /University of Mosul/ College of education 31-10-1990

35- Extereme point Multi-objective function.
Published onJournal of education and science, university of Mosul, 28-4-1993.



Dr.Sanhan Muhammad Salih Khasraw

Mobile No.:- 0750 4566814

Email: -

Publishing paper

1- Generalized D-regular rings

     Published on Journal of Zanko




Assist. Prof. Dr. Nehmat Kdther Ahmad

Mob.  No.:- 07504511977 

Email: -  

Publishing paper

1- On α-continuous and α-open function.

2- On rs-continuous function and semi–space.

3- On δ-compact space.

4- Strongly Semi – Continuous function.

5-Same equivalents in Topological Space.

6- On function with semi θ-closed and irresolute semi θ-closed graph.

7-On pδ-open set and pδ-continuous function.

8- Sβ-open sets and continuity.

     Published on(Thai Journal of Mathematics) Thailand.

9- weak separation axioms and function with Sβ closed graphs

    Published on International Journal Of Mathematical Sciences and
    Engineering Applications) India).

10- compact and  closed spaces.
      Published onInternational Journal of Scientific and Engineering

11- Para-compact spaces.
      Published on Journal of Advanced Studies in TopologyEgypt.

12- compact sets and locally compact spaces.
      Published on Journal of Advanced Studies in Topology) (Egypt).


Assist. Lecture Maher A Nawkhass

Mob.  No.:- 07501871605

Email: -  

Publishing paper

1- A New Modified Simplex Method to Solve Quadratic
    Fractional Programming Problem and Compared
    it to a Traditional Simplex Method by Using Pseudoaffinity of
    Quadratic Fractional Functions

     Published on Applied mathematical Sciences Vol.7,no.76, pp.3749-
     3764, 2013, Bulgaria

2- Solving Quadratic Fractional Programming Problem

    Published on International Journal of Applied Mathematical
    Research ,Vol.2, no.2, pp.303-309 , 2013,

3- Transforming and Solving Multi-objective Quadratic Fractional
    Programming Problems by Optimal
Average of Maximin & Minimax

    Published on American Journal of operation research
    Vol.3,no.3,pp.92-98 , USA, 2013

4- Using short-herarchical method to solve multi-objectivelinear
    fractional programming problems 

    Published on 2nd Scientific Conference of  garmian university ,may6
    and 7,2015


Assist. Lecture Qumri Hayder Hamko 

Mob.  No.:- 07504549076 

Email: -

Publishing paper

1- The integral transform of special function.

Published on Journal of Zanko Salahaddin.

2- Analytic solution of integral equation involving spheroidal wave functional of three variables.

Published on Journal of KirkukUniversity

3- Semi-regular lattice hedra.

Published onJournal of KirkukUniversity.

4- A non-monotone line search method with VM algorithm of 2ed order quazi-newten condititiona for 
    symmetric nonlinear- equation.

Published on Journal of KirkukUniversity.