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Dr Muhammad Ayub

Dr Muhammad Ayub

Assistant Professor

Area of Interest: Symmetry Analysis of Differential Equations and Applications in different field of sciences

Email: [email protected]

HEC Approved PhD Supervisor

Academics / Degrees

  • PhD in
    Mathematics from Quaid-i-Azam University, Islamabad, (December 2012).
  • M.Phil
    from Azad jammu and Kashmir University Muza_arabad, (C.G.P.A: 4.0) (2005).
  • B.Ed
    (Math + Physics), Allama Iqbal Open University, Islamabad, (2002).
  • MSc from
    the University of Peshawar, (1998).
  • BSc from
    the University of Peshawar, (1994).
  • Title of
    PhD Dissertation: Lie Algebraic Properties for System of ODEs
  • Title of M.Phil Dissertation: Symmetries of
    Second-Order Ordinary Differential Equations

Profile / Bio

PROFESSIONAL
AND RESEARCH EXPERIENCE:

 ·       Assistant professor on Tenure
Track system in Department of Mathematics, COMSATS University Islamabad,
Abbottabad Campus from 16 -12 -2012-to-till date.

·        Lecturer in Mathematics, COMSATS University
Islamabad, Abbottabad Campus from 20-02 -2006-to-15-12-2012

·        Research Associate, Centre for Advanced
studies in Mathematics (CASM), Lahore University of Management Sciences (LUMS)
from 26-09-2005 to 17 -02 -2006.

·       Lecturer in Mathematics,
University of Azad Jammu and Kashmir Muza_arabad (A.K) from 01-10 -2004 and 15-08-
2005.

Associations

·
Graduate
Coordinator Department of Mathematics, COMSATS University Islamabad, Abbottabad
Campus from 4
022020-to-till date.

·
Coordinator
of Applied Group for developing research trends at Department of Mathematics
COMSATS University Islamabad, Abbottabad Campus from 4
02 2013-to-till date.

·
Member
of departmental advisory committee

·
Member
of departmental course group head Calculus and Analytic Geometry, Multivariable
Calculus.

·
Member
of organizing committee of a symposium within the logo of CCIS under the umbrella
of Techno Moot 2006-7 and 2013 at CIIT, Abbottabad.

Research Interests

  • Symmetry Analysis of
    Differential Equations
  • Similarity Solution of Differential
    Equations
  • Conservation Laws
  • Lie Algebras and Computational Approaches for
    Symmetry Analysis
  • Invariants of Differential Equations
  • Linearization of Differential
    Equations
  • Symmetries of Fractional Differential
    Equations

Awards

·
One-week
Research Visit from Dec-09-13, 2019 at Department of Mathematics, Huanghuai University,
China. One of MS student has completed his MS Thesis during this visit.

·
 Two weeks Research Visit from Sep-08-19 under
a research project P25064 of of Austrian Scientific Fond (FWF), 2019 at Faculty
of Mathematics, University of Vienna Oskar-Morgenstern-Platz 1, A-1090 Vienna,
Austria has been taken place.

·
Outstanding
Contribution in reviewing Award (Results in Physics) March 2018

·
Research
Productivity Award (Appreciation of contribution in Research) 2016

·
Performance
Appreciation award at Abbottabad Campus 2015-2016

·
Performance
Appreciation award at Abbottabad Campus 2013-2014

·
Research
Productivity Award (Appreciation of contribution in Research) 2013

·
 HEC Approved Supervisor from June 06, 2013.

·
Author
of the article T. Aziz, Mahomed, F.M., Ayub, M. and Mason D.P.: “Non-linear
time-dependent flow models of third grade Fluids: A conditional symmetry
approach”, International Journal of Non-Linear Mechanics, Vol. 54, pp.55-65
(2013) (IF:1.463) which has been Science Direct top 25 List of Most Downloaded
Articles Ranked 22nd on the Top 25 for International Journal of Non-Linear
Mechanics January to March 2013.

·
Indigenous
Scholarship Award (Batch IV) of HEC from March 2008 to March 2012.

·
Six
Months Research Visit from May 2011 to November 2011 at the Centre for Differential
Equations, Continuum Mechanics and Applications (DECMA), School of Computational
and Applied Mathematics (CAM), University of the Witwatersrand, Wits 2050,
Johannesburg, South Africa under the Higher Education Commission (HEC) IRSIP
program Pakistan.

·
IRSIP
Award (Six Months Research Trip) of HEC from May 2011 to Nov 2011.

·
Qualifying
International GRE (subjective) of HEC Criteria, Nov 2010.

·
Visiting
mathematician for one month (August 2007) at Centre for Advanced Studies in Mathematics
(CASM), Lahore University of Management Sciences (LUMS).

Students Supervised

MS students (17 has been completed):

 1.      : Momina Javed: Similarity Approach for
Differential Equations (Spring-2021)

2.      : Sumra Sheraz: Realization Structure
for a Particular Solvable Indecomposable Lie algebra and System of Second-Order
ODEs (Spring-2021)

3.      : Raziq Ullah: One Dimensional Optimal
System of Lie Subalgebras (Fall-2020)

4.      : Aqeel Ahmad: Conservation Laws and
Regular Invariant Systems of ODEs (Spring-2020)

5.      : Saddif Gul: A Comparative Study on
Some Invariant Schemes for Differential Invariants and Reducibility (Fall-2019)

6.      : Ihtiram Hussain: Algebraic Classification
for Some Systems of Two Third-Order ODEs (Fall-2019)

7.      : Saira Bano: Realization Approach for Deferential
Equations (Fall-2018)

8.      : Malik Muhammad Waleed Hafeez:
Conservation Laws Associated with Singular Invariant Structure for Systems of
ODEs (Fall-2018)

9.      : Noreen Niazi: Symmetry Analysis of
Fractional Differential Equations (Fall-2017)

10.  : Muhammad Saqib: Conservation Laws for
System of ODEs (Spring-2017)

11.  : Zauk Akhtar: Similarity Transformations
(Spring-2016)

12.  : Muhammad Zhaid: First Integral
Approach for Differential Equations (Fall-2015)

13.  : Muhammad Azhar: Discrete Symmetries
of Differential Equations (Spring-2015)

14.  : Muhammad Zeeshan Hanif: Contact Symmetries
of Differential Equations (Spring-2015)

15.  : Sadia sadique: Singular Invariants
for Systems of Second-Order ODEs (Spring-2014)

16.  : Haseena Manan: Conditional Symmetry
Approach for Beam Equation (Spring-2014)

17.  : Waqar Mehmood: Linearization criteria
for System of Ordinary Differential Equations (Spring-2014)

Journal Publications

1. <a href="MemberDetails.aspx?memberID=296" title="Dr.Zakir Hussain">Z.Hussain</a>,Vediyappan Govindan,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Ali M. Mohsen,Muhammad Asif,Sami Ullah Khan,Erdonov Bekmurod, Gafur Abdulakimov Linear stability and control in MHD Poiseuille nanoparticle flow, Results in Control and Optimization, 2026
2. <a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>, Saira Bano Natural extension of a Lie algebra A^{b}_{4,18}, |b|≤1, realizations, invariant systems and integrability, Applied Mathematics and Computation, 2025
3. <a href="MemberDetails.aspx?memberID=296" title="Dr.Zakir Hussain">Z.Hussain</a>,Mehboob Ali,Yawar Khan,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Waqar Azeem Khan Instability analysis for transient Hartmann flow of graphene oxide nanoparticles with water base fluid, Journal of Thermal Analysis and Calorimetry , 2024
4. <a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Zahida Sultan,· F. M. Mahomed,Saima Ijaz Dimensional Homogeneity in Classifying Second-Order Differential Invariant Systems for Four-Dimensional Lie Algebras, International Journal of Applied and Computational Mathematics , 2024
5. Babar Hussain Shah,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Ahmer Mehmood,Iqrar Raza Theoretical analysis of convective transport over a slender body of revolution, Numerical Heat Transfer, Part A: Applications, 2023
6. Awais Ahmed ,Muhammad Yasir ,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Masood Khan,Ayesha Zafar Analysis of Soret-Dufour theory for energy transport in bioconvective flow of Maxwell fluid, Ain Shams Engineering Journal, 2023
7. Azeem Shahzad,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Fakhira Liaqat,Zaffer Ellahi,Muhammad Sohail,Mohamed R.Ali Thin film flow and heat transfer of Cu-nanofluids with slip and convective boundary condition over a stretching sheet, Scientific Reports , 2022
8. Shakil Shaiq,Jawad Ahmed,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Azeem Shahzad,Muhammad Nadeem Dissipative Induced Magnetic Field on Axisymmetric Stagnation Point flow of Propylene Glycol(PG) infused with Multiple shape Tin(Sn), and Tungsten W (nanometer) Particles, Waves in Random and Complex Media, 2022
9. Muhammad Yasir,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Awais Ahmed,Masood Khan,M. Munawwar Iqbal Ch Study on time-dependent Oldroyd-B fluid flow over a convectively heated surface with CattaneoChristov theory, Waves in Random and Complex Media, 2022
10. <a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Zahida Sultan,Muhammad Naeem Qureshi, Fazal Mahmood Mahomed Classification of singular differential invariants in (1+3)-dimensional space and integrability, Science Progress, 2021
11. Tahir Naseem ,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Noreen Niazi ,Muhammad Sohail Vectorial reduced differential transform method for fractional Cauchy–Riemann system of equations, Computational Mathematical Methods, 2021
12. <a href="MemberDetails.aspx?memberID=114" title="Dr. Muhammad Bilal">M.Bilal</a>,<a href="MemberDetails.aspx?memberID=10" title="Dr. Khurshid Ayub">Khurshid Ayub</a>,<a href="MemberDetails.aspx?memberID=1755" title="Dr. Muhammad Fahad">M. Fahad</a>,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,<a href="MemberDetails.aspx?memberID=296" title="Dr.Zakir Hussain">Z.Hussain</a>,Bilal Ahmad Zafar Amin Natural dolomite as a low-cost adsorbent for efficient removal of As(III) from aqueous solutions, Materials Research Express, 2019
13. S.Zahida, M. N. Qureshi,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a> Canonical Forms and Their Integrability for Systems of Three 2nd-Order ODEs, Advances in Mathematical Physics, 2017
14. <a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,sadia sadique,F.M Mahomed Singular Invariant Structures for Lie Algebras Admitted by a System of Second-Order ODEs, Applied Mathematics and Computation, 2016
15. Ramzan Ali,Azeem Shahzad,Masood Khan,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a> Analytic and numerical solutions for axisymmetric flow with partial slip, Engineering with Computers, 2016
16. Mahomed, F.M.,Qureshi M. N.,Khan, M.,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a> Symmetries of second-order systems of ODEs and integrability., Nonlinear Dynamics, 2013
17. M. N. Qureshi,A. Q. Khan,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Q. Din Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation, Discrete Dynamics in Nature and Society, 2013
18. Taha Aziz,F. M. Mahomed,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,D.P Mason Nonlinear Time- Dependent Flow Models of Third Grade Fluids: A Conditional Symmetry Approach, Int. J. Non-Linear Mech., 2013
19. <a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Masood Khan,F. M. Mahomed Second-Order Systems of ODEs Admitting Three-Dimensional Lie Algebras and Integrability, Hindawi Publishing Corporation Journal of Applied Mathematics, 2013
20. A. Fatima,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,F. M. Mahomed A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations, Journal of Applied Mathematics., 2013
21. F. M. Mahomed,Masood Khan,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a> Algebraic linearization criteria for systems of ordinary differential equations, Nonlinear Dyn, 2012
22. Asia Anjum,<a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,Masood Khan Starting solutions for oscillating motions of an Oldroyd-B fluid over a plane wall, Commun Nonlinear Sci Numer Simulat , 2012

Conference Publications

1. <a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,F. M. Mahomed,Masood Khan Algebraic Linearization Criteria for Systems of Second Order ODEs, , 2010
2. <a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,M N Qureshi A Note on Symmetries of System of Two Second Order Ordinary Differential Equations, , 2005
3. <a href="MemberDetails.aspx?memberID=161" title="Dr.Muhammad Ayub">M.Ayub</a>,M N Qureshi Symmetries of Second Order ODEs, , 2005