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 SupervisorAcademics / Degrees
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Profile / Bio
PROFESSIONAL · Assistant professor on Tenure · Lecturer in Mathematics, COMSATS University · Research Associate, Centre for Advanced · Lecturer in Mathematics, |
Associations
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Research Interests
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Awards
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Students Supervised
MS students (17 has been completed): 1. : Momina Javed: Similarity Approach for 2. : Sumra Sheraz: Realization Structure 3. : Raziq Ullah: One Dimensional Optimal 4. : Aqeel Ahmad: Conservation Laws and 5. : Saddif Gul: A Comparative Study on 6. : Ihtiram Hussain: Algebraic Classification 7. : Saira Bano: Realization Approach for Deferential 8. : Malik Muhammad Waleed Hafeez: 9. : Noreen Niazi: Symmetry Analysis of 10. : Muhammad Saqib: Conservation Laws for 11. : Zauk Akhtar: Similarity Transformations 12. : Muhammad Zhaid: First Integral 13. : Muhammad Azhar: Discrete Symmetries 14. : Muhammad Zeeshan Hanif: Contact Symmetries 15. : Sadia sadique: Singular Invariants 16. : Haseena Manan: Conditional Symmetry 17. : Waqar Mehmood: Linearization criteria |
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 |