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Faculty Profile

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Dr Mohammad Ayub

Lecturer
Area of Interest: Symmetry Analysis of Differential Equations and Applications in different field of sciences
Email: ayub@cuiatd.edu.pk
Phone: (92)992-383591-5
 
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
 
Journal Publications
1. M.Ayub,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
2. Babar Hussain Shah,Ahmer Mehmood,M.Ayub,Iqrar Raza Theoretical analysis of convective transport over a slender body of revolution, Numerical Heat Transfer, Part A: Applications, 2023
3. Awais Ahmed ,Muhammad Yasir ,M.Ayub,Masood Khan,Ayesha Zafar Analysis of Soret-Dufour theory for energy transport in bioconvective flow of Maxwell fluid, Ain Shams Engineering Journal, 2023
4. Azeem Shahzad,M.Ayub,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
5. Shakil Shaiq,Jawad Ahmed,M.Ayub,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
6. Muhammad Yasir,M.Ayub,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
7. M.Ayub,Zahida Sultan,Muhammad Naeem Qureshi, Fazal Mahmood Mahomed Classification of singular differential invariants in (1+3)-dimensional space and integrability, Science Progress, 2021
8. Tahir Naseem ,M.Ayub,Noreen Niazi ,Muhammad Sohail Vectorial reduced differential transform method for fractional Cauchy–Riemann system of equations, Computational Mathematical Methods, 2021
9. M.Bilal,Khurshid Ayub,M. Fahad,M.Ayub,Z.Hussain,Bilal Ahmad Zafar Amin Natural dolomite as a low-cost adsorbent for efficient removal of As(III) from aqueous solutions, Materials Research Express, 2019
10. S.Zahida, M. N. Qureshi,M.Ayub Canonical Forms and Their Integrability for Systems of Three 2nd-Order ODEs, Advances in Mathematical Physics, 2017
11. M.Ayub,sadia sadique,F.M Mahomed Singular Invariant Structures for Lie Algebras Admitted by a System of Second-Order ODEs, Applied Mathematics and Computation, 2016
12. Ramzan Ali,Azeem Shahzad,Masood Khan,M.Ayub Analytic and numerical solutions for axisymmetric flow with partial slip, Engineering with Computers, 2016
13. Mahomed, F.M.,Qureshi M. N.,Khan, M.,M.Ayub Symmetries of second-order systems of ODEs and integrability., Nonlinear Dynamics, 2013
14. M. N. Qureshi,A. Q. Khan,M.Ayub,Q. Din Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation, Discrete Dynamics in Nature and Society, 2013
15. Taha Aziz,F. M. Mahomed,M.Ayub,D.P Mason Nonlinear Time- Dependent Flow Models of Third Grade Fluids: A Conditional Symmetry Approach, Int. J. Non-Linear Mech., 2013
16. M.Ayub,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
17. A. Fatima,M.Ayub,F. M. Mahomed A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations, Journal of Applied Mathematics., 2013
18. F. M. Mahomed,Masood Khan,M.Ayub Algebraic linearization criteria for systems of ordinary differential equations, Nonlinear Dyn, 2012
19. Asia Anjum,M.Ayub,Masood Khan Starting solutions for oscillating motions of an Oldroyd-B fluid over a plane wall, Commun Nonlinear Sci Numer Simulat , 2012
 
 
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)