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Dr Mohammad Ayub

  /  Dr Mohammad Ayub
Lecturer, Mathematics
Specialization:

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
 
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)