Dr. Zain Ul Abadin Zafar
Associate Professor
zainzafar@ucp.edu.pk
Ext: 04235880007
Ext: 04235880007
Dr. Zain Ul Abadin Zafar has completed PhD and M. Phil in Mathematics from University of Engineering & Technology Lahore. His area of research is numerical solutions of fractional order differential equations. He has completed his higher education from renowned Universities of Pakistan. He did his MSc from the Punjab University, Lahore.
In teaching, he has served twenty years as a senior mathematics consultant in PIPS School System, Lahore, one year as visiting lecturer in Minhaj University, Lahore. In February 2012, he Joined in Faculty of Engineering of University of Central Punjab as a visiting Lecturer. In February 2014, he joined the Faculty of Information Technology as a Lecturer. Since September 2019, he is working in Faculty of Science in University of Central Punjab as an assistant professor. He has taught various courses of mathematics, like calculus, multivariate calculus, Linear algebra, differential equations, numerical computing etc.
| PhD | Mathematics | UET Lahore | 2018 |
| M.Phil | Mathematics | UET Lahore | 2012 |
| M.Sc | Mathematics | University of the Punjab | 1988 |
| BSC | Mathematics & Physics | Govt. College of Science, Lahore | 1986 |
| F.Sc. | Pre-Engineering | Govt. Islamia College Railway Road, Lahore | 1983 |
| Matric | Science | BISE Lahore | 1980 |
| Associate Professor | UCP | 1st Jan 2024 to date |
| Assistant Professor | UCP | 1st Nov. 2018 to Dec. 2023 |
| Lecturer | UCP | 2014 to Oct. 2018 |
| Visiting Lecturer | UCP | 2012 to 2014 |
| Visiting Lecturer | Minhaj University | 2013 to 2014 |
| Senior mathematics Teacher | PIPs School system | 1990 to 2010 |
| 1 | Dynamics and numerical approximations for a fractional-order SIS epidemic model with saturating contact rate Computational and Applied Mathematics (Impact factor) 2020 |
| 2 | Numerical study and stability of the Lengyel-Epstein chemical model with diffusion Advances in Difference Equations (Impact factor) 2020 |
| 3 | Mathematical and stability Analysis of Fractional order Model for spread of Pests in Tea Plants Fractals (Impact factor) 2020 |
| 4 | Analysis and numerical simulations of fractional order Vallis System Alexandria Engineering Journal (Impact factor) 2020 |
| 5 | Hopf bifurcation and global dynamics of time delayed Dengue model Computer Methods and Programs in Biomedicine (Impact factor 2020 |
| 6 | Comparison of fractional order techniques for measles dynamics Advances in Difference Equations (Impact factor) 2019 |
| 7 | Fractional order Lengyel-Epstein chemical reaction model Computational and Applied Mathematics (Impact factor) 2019 |
| 8 | Mathematical modelling for Nonlinear Glycolytic Oscillator Proceedings of the Pakistan Academy of sciences: A. Physical and Computational Sciences 2018 |
| 9 | A non-integer order dengue internal transmission model Advances in Difference Equations (Impact factor) 2018 |
| 10 | Numerical Simulation of Fractional Order Dengue Disease with Incubation Period of Virus Proceedings of the Pakistan Academy of sciences: A. Physical and Computational Sciences 2017 |
| 11 | Fractional Numerical treatment for Biochemical Reaction Networks Proceedings of the Pakistan Academy of sciences: A. Physical and Computational Sciences 2017 |
| 12 | Numerical Modeling for Nonlinear Biochemical Reaction Networks Iranian Journal of mathematical chemistry 2017 |
| 13 | HIV/AIDS Epidemic Fractional –Order Model Journal of Difference equations and applications (Impact factor) 2017 |
| 14 | Fractional-order scheme for bovine babesiosis disease and tick populations Advances in Difference Equations (Impact factor) 2017 |
| 15 | Numerical treatment for nonlinear Brusselator chemical model Journal of Difference equations and applications (Impact factor) 2017 |
| 16 | Application of ZZ Transform Method on Some Fractional Differential Equations Inter. J. of Adv. Engg. And Global Technology 2016 |
| 17 | Fourth Order Compact Method for One Dimensional Inhomogeneous Heat Equation Pak. J. Engg. & Appl. Sci. 2016 |
| 18 | Fourth Order Compact Method for One Dimensional Inhomogeneous Telegraph Equation of 𝑶(𝒉𝟒, 𝒌𝟒) Pak. J. Engg. & Appl. Sci. 2016 |
| 19 | A New Technique to Obtain Analytical Solution for One Dimensional Homogeneous Telegraph Equation Inter. J. of Adv. Engg. And Global Technology 2016 |
| 20 | ZZ Transform Method Inter. J. of Adv. Engg. And Global Technology 2016 |
| 21 | Optimal design of oxygen production system by pattern search methods Pakistan Journal of Science 2015 |
| 22 | Finite Element Model for Linear Second Order One Dimensional Inhomogeneous Wave Equation Pak. J. Engg. & Appl. Sci. 2015 |
| 23 | Application of Laplace Decomposition Method for Solving Sine Gordon Equation Pakistan Journal of Science 2014 |
| 24 | A Non-Polynomial Spline Method for solving Linear Twelfth Order Boundary Value Problem Proceedings of the Pakistan Academy of sciences 2014 |
| 25 | Numerical Solution of Sixth Order BVPs by Applying Non-Polynomial Spline Method Pakistan Journal of Science 2014 |
| 26 | Numerical Approximation of Degradation of Plasmid DNA in Rat Plasma Pakistan Journal of Science 2014 |
| 27 | Fourth Order Compact Method for One Dimensional Inhomogeneous Telegraph Equation of order O (h4, k3) Pak. J. Engg. & Appl. Sci. 2014 |
| 28 | Soliton Solution of IMKDV, IKDV, GKDV, and MRLW Equations by Sine-hyperbolic Function Method Inter. J. of Adv. Engg. And Global Technology 2013 |
| 29 | New Exact Travelling Wave Solutions for Nonlinear Equations with the help of Auxiliary Equation Method Inter. J. of Adv. Engg. And Global Technology 2013 |
| 30 | New Exact Travelling Wave Solutions for (2+1) dimensional Sine Gordon and Kadomtsev Petviashvili Equations Inter. J. of Adv. Engg. And Global Technology 2013 |
| 31 | Soliton Solution of IMKDV. IKDV, GKD and MRLW Equations by Cosecant-hyperbolic Function Method Inter. J. of Adv. Engg. And Global Technology 2013 |
| 32 | ZZ Fourth Order Compact BVM for one dimensional Advection Diffusion Equation Pakistan Journal of Science 2013 |
| 33 | Finite Element Model for Linear Second Order one dimensional homogeneous Telegraph Equation Pakistan Journal of Science 2013 |
| 34 | Solution of Burger’s Equation with the help of Laplace Decomposition Method Pak. J. Engg. & Appl. Sci. 2013 |
| 35 | A New Fourth Order Compact Difference Scheme for one dimensional Advection Diffusion Equation Pakistan Journal of Science 2012 |
| 36 | ZZ Fourth Order Compact BVM for the Equation of Lateral Heat Loss Pak. J. Engg. & Appl. Sci. 2012 |
| 37 | Fourth Order Compact Method for one dimensional homogeneous Telegraph Equation Pakistan Journal of Science 2012 |
| 38 | Fourth Order Compact Method for one dimensional homogeneous Damped Wave Equation Pakistan Journal of Science 2012 |
Click to View
- Zain Ul Abadin Zafar, Sadaf Ijaz, Cemil Tunc, Numerical Analysis of SEIR epidemic model with fractional order, Computational Methods for Differential Equations, (2025), doi: 10.22034/cmde.2024.63428.2832.
- Zain Ul Abadin Zafar, Muhammad Altaf Khan, Mustafa Inc, Ali Akgul, Muhammad Asiri, Muhammad Bilal Riaz, The analysis of a new fractional model to the Zika virus infection with mutant, Heliyon, (2024), doi: 10.1007/s11587-023-00795-9.
- Muhammad Tanveer Hussain, Zain Ul Abadin Zafar, Shamsher Ullah, A note on weakly σ-n-embedded subgroups of σ-full groups, Ricerche di Mathematica, (2023), doi: 10.1007/s11587-023-00795-9.
- Asif Waheed, Mustafa Inc, Nimra Bibi, Shumaila Javeed, Muhammad Zab, Zain Ul Abadin Zafar, Multi-type solitary wave solutions of Korteweg-de-Veries (KdV) equation, International Journal of Modern Physics B, (2023), doi: 10.1142/S0217979224502424.
- Zain Ul Abadin Zafar, Mahmoud H. DarAssi, Irfan Ahmad, Taghreed Mutum Zico Meetei, Muhammad Altaf Khan, Ahmed M. Hassan, Numerical simulation and analysis of the stochastic HIV/AID fractional order, Results in Physics, (2023).
- Zain Ul Abadin Zafar, Tauseef Saeed, M. Rehan Qureshi, Cemil Tunc, Numerical analysis of Bazykin-Berezovskaya model, Journal of Taibah University for Science, 17(1), (2023), 2190020.
- Zain Ul Abadin Zafar, Mustafa Inc, Fairouz Tchier, Lanre Akinyemi, Stochastic suicide substrate reaction model, Physica A, 610 (2023), 128384.
- Zain Ul Abadin Zafar, Abdullahi Yusuf, Salihu S. Musa, Sania Qureshi, Ali S Alshomrani, Dumitru Baleanu, Impact of Public Health Awareness Programs on COVID-19 Dynamics: A Fractional Approach, Fractals, (2022), Accepted.
- Yu-Ming chu, Zain Ul Abadin Zafar, Mustafa Inc, Shumaila Javeed, Abu Sufyan Ali, Numerical modeling of a novel stochastic coronavirus, Fractals, 30(8) (2022),2240211.
- Zain Ul Abadin Zafar, Nigar Ali, Mustafa Inc, Zahir Shah, Samina Younas, Mathematical modeling of corona virus (COVID-19) and stability analysis, Computer Methods in Biomechanics and Biomedical Engineering, (2022).
- Shumaila Javeed, Mustafa Inc, Muhammad Awais Abbasi, K.H. Mahmoud, Zain Ul Abadin Zafar, Sohail Razzaq, Soliton solutions of some nonlinear evolution equations in shallow water theory, Results in Physics, (2022).
- Zain Ul Abadin Zafar, Sumera Zaib, M. T. Hussain, Cemil Tunc, Shumaila Javeed, Analysis and numerical simulation of tuberculosis model using different fractional derivatives, Chaos, Solitons and Fractals, (2022).
- Zain Ul Abadin Zafar, Akineymi, Hadi Rezazadeh, Mustafa Inc, Non-Topological, Topological and Rouge Wave Soliton Solutions for Sharma Tasso Olver Equation, Journal of Ocean Engineering and Science, (2022), doi: 10.1016/j.joes.2022.04.028.
- Zain Ul Abadin Zafar, T. Hussain, Mustafa Inc, Dumitru Baleanu, Bandar Almohsen, Abayomi S. Oke, Shumaila Javeed, Fractional order dynamics of human papillomavirus, Results in Physics, 34 (2022), 105281.
- Zain Ul Abadin Zafar, Samina Younas, Sumera Zaib, Cemil Tunc, An efficient numerical simulation and mathematical modelling for the prevention of tuberculosis, International Journal of Biomathematics, 15(4) (2022) 2250015.
- Zain Ul Abadin Zafar, Nigar Ali, Cemil Tunc, Dynamics of an arbitrary order model of toxoplasmosis ailment in human and cat inhabitants, Journal of Taibah University for Sciences 15 (1) (2021), 882-896.
- Zain Ul Abadin Zafar, Nigar Ali, Cemil Tunc, Mathematical modeling and analysis of fractional order brushless DC motor, Advances in Difference Equations 433 (2021).
- T. Hussain, Zain Ul Abadin Zafar, C. Zhang, On dualization of a result of Bryce and Cossey theory, Acta Mathematica Hungarica , 165 (2021), 40-47.
- Zain Ul Abadin Zafar, N. Ali, D. Baleanu, Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats, Chaos, Solitons and Fractals 151 (2021) 111261.
- Zain Ul Abadin Zafar, N. Ali, S. Younas, S. F. Abdelwahab, K.S. Nisar, Numerical investigations of stochastic HIV/AIDS infection model, Alexandria Engineering Journal, 60 (4) (2021), 5341-5363.
- Zain Ul Abadin Zafar, H. Rezazadeh, M. Inc, K.S. Nisar, T.A. Sulaiman, A. Yusuf, Fractional order heroin epidemic model, Alexandria Engineering Journal, 60 (2021), 5157-5165.
- Zain Ul Abadin Zafar, Ndolane Sene, Hadi Rezazadeh, Nafiseh Esfandian, Tangent nonlinear equation in context of fractal fractional operators with nonsingular kernel, Mathematical Sciences, Published April (2021) doi: 10.1007/s40096-021-00403-7.
- Zain Ul Abadin Zafar, Samina Younas, M. T. Hussain, Cemil Tunc, Fractional Aspects of Coupled Mass-Spring System, Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Sciences, and Nonequilibrium and Complex Phenomena, 144 (2021) 110677.
- T. Hoang, Zain Ul Abadin Zafar, T. K. Q. Ngo, Dynamics and numerical approximations for a fractional-order SIS epidemic model with saturating contact rate, Computational and Applied Mathematics, DOI: 10.1007/s40314-020-01326-0,39, 277 (2020).
- Zain Ul Abadin Zafar, Z. Shah, N. Ali, P. Kumam, E. O. Alzahrani, Numerical study and stability of the Lengyel-Epstein chemical model with diffusion, Adv. Diff. Eqns., DOI: 10.1186/s13662-020-02877-6,2020: 427 (2020).
- Zain Ul Abadin Zafar, Z. Shah, N. Ali, E. O. Alzahrani, M. Shutaywi, Mathematical and stability Analysis of Fractional Order Model for spread of Pests in Tea Plants, Fractals, DOI: 10.1016/j.cmpb.2020.105530, (2020).
- Zain Ul Abadin Zafar, N. Ali, Z. Shah, G. Zaman, P. Roy, W. Deebani, Hopf bifurcation and global dynamics of time delayed Dengue model, Computer Methods and Programs in Biomedicine, DOI: 10.1016/j.cmpb.2020.105530, 195 (2020).
- Zain Ul Abadin Zafar, N. Ali, G. Zaman, P. Thounthong, C. Tunc, Analysis and numerical simulations of fractional order Vallis System, Alexandria Engineering Journal, DOI: 10.1016/j.aej.2020.04.023, (2020).
- Amna Bashir, M. mushtaq, Zain Ul Abadin Zafar, K. Rehan, R. M. A. Muntazirm, Comparison of fractional order techniques for measles dynamics, Adv. Diff. Eqns., DOI: 10.1186/s13662-019-2272-4, 2019:334 (2019).
- Zain Ul Abadin Zafar, Mathematical modelling for Nonlinear Glycolytic Oscillator, Proceedings of the Pakistan Academy of sciences: A. Physical and Computational Sciences, 55(1), 69-78 (2018).
- Zain Ul Abadin Zafar, Muhammad Mushtaq, Kashif Rehan, A non-integer order dengue internal transmission model, Adv. Diff. Eqns., DOI: 10.1186/s13662-018-1472-7, 2018:23 (2018).
- Zain Ul Abadin Zafar, M. Mushtaq, Kashif Rehan, Rafiq, Numerical Simulation of Fractional Order Dengue Disease with Incubation Period of Virus, Proceedings of the Pakistan Academy of sciences: A. Physical and Computational Sciences, 54(3), 265-284 (2017).
- Zain Ul Abadin Zafar, K. Rehan, M. Mushtaq, Rafiq, Fractional Numerical treatment for Biochemical Reaction Networks, Proceedings of the Pakistan Academy of sciences: A. Physical and Computational Sciences, 54(3), 284-292 (2017).
- Zain Ul Abadin Zafar, K. Rehan, M. Mushtaq, Rafiq, Numerical Modeling for Nonlinear Biochemical Reaction Networks, Iranian J. Math, Chem. 8(4), 413-423 (2017).
- Zain Ul Abadin Zafar, K. Rehan, M. Mushtaq, HIV/AIDS Epidemic Fractional –Order Model, J. Diff. Eqns. Appl., 23(7), 1298-1315 (2017), DOI: 10.1080/10236198.2017.1321640 (2017).
- Zain Ul Abadin Zafar, K. Rehan, M. Mushtaq, Rafiq, Numerical treatment for nonlinear Brusselator chemical model, J. Diff. Eqns. Appl., 23(3), 521-538 (2017), DOI: 10.1080/10236198.2016.1257005,
- Zain Ul Abadin Zafar, Application of ZZ Transform Method on Some Fractional Differential Equations, Inter. J. of Adv. Engg. And Global Technology, 4(6), 1355-1363, Nov. (2016).
- Zain Ul Abadin Zafar, Pervaiz, M. Rafiq, M. O. Ahmad, Fourth Order Compact Method for One Dimensional Inhomogeneous Heat Equation, Pak. J. Engg. & Appl. Sci. 19, 45-50, Jul., (2016).
- Zain Ul Abadin Zafar, Pervaiz, M. O. Ahmad, M. Rafiq, Fourth Order Compact Method for One Dimensional Inhomogeneous Telegraph Equation of 𝑶(𝒉𝟒, 𝒌𝟒), Pak. J. Engg. & Appl. Sci. 19, 77-82, Jul., (2016).
- Zain Ul Abadin Zafar, A New Technique to Obtain Analytical Solution for One Dimensional Homogeneous Telegraph Equation, Inter. J. of Adv. Engg. And Global Technology, 4(4), 2063-2069, Aug. (2016)
- Zain Ul Abadin Zafar, ZZ Transform Method, Inter. J. of Adv. Engg. And Global Technology, 4(1), 1605-1611, Jan. (2016).
- F. Tabassum, M. Saeed, N. A. Chaudhry, A. Sana, Zain Ul Abadin Zafar, Optimal design of oxygen production system by pattern search methods, PJS, 67 (4), 371-376, Dec. (2015).
- Zain Ul Abadin Zafar, Pervaiz, M. O. Ahmad, M. Rafiq, Finite Element Model for Linear Second Order One Dimensional Inhomogeneous Wave Equation, Pak. J. Engg. & Appl. Sci. 17, 58-63, Jul., (2015).
- Zain Ul Abadin Zafar, M. Sultan, A. Pervaiz, M. O. Ahmad, S. Hussain, Application of Laplace Decomposition Method for Solving Sine Gordon Equation, PJS, 66 (3), 199-203, Sept. (2014).
- Pervaiz, Zain Ul Abadin Zafar, M. O. Ahmad, A Non-Polynomial Spline Method for solving Linear Twelfth Order Boundary Value Problem, Proceedings of the Pakistan Academy of sciences, 51 (2), 157-165, June (2014).
- Pervaiz, A. Ahmad, Zain Ul Abadin Zafar, M. O. Ahmad, Numerical Solution of Sixth Order BVPs by Applying Non-Polynomial Spline Method, PJS, 66 (2), 110–116, June (2014).
- A. Chaudhry, N. A. Chaudhry, Zain Ul Abadin Zafar, Numerical Approximation of Degradation of Plasmid DNA in Rat Plasma, PJS, 66 (1), 56-59, March (2014).
- Zain Ul Abadin Zafar, O. Ahmad, A. Pervaiz, M. Rafiq, Fourth Order Compact Method for One Dimensional Inhomogeneous Telegraph Equation of order O (h4, k3), Pak. J. Engg. & Appl. Sci. 14, 96-101, Jan (2014).
- Zain Ul Abadin Zafar, Soliton Solution of IMKDV, IKDV, GKDV, and MRLW Equations by Sine-hyperbolic Function Method, Inter. J. of Adv. Engg. And Global Technology, 1(3), 80-86, Oct. (2013).
- Zain Ul Abadin Zafar, New Exact Travelling Wave Solutions for Nonlinear Equations with the help of Auxiliary Equation Method, Inter. J. of Adv. Engg. And Global Technology, 1(3), 101-112, Oct. (2013).
- Zain Ul Abadin Zafar, New Exact Travelling Wave Solutions for (2+1) dimensional Sine Gordon and Kadomtsev Petviashvili Equations, Inter. J. of Adv. Engg. And Global Technology, 1(2), 49-56, Sep. (2013).
- Zain Ul Abadin Zafar, Soliton Solution of IMKDV. IKDV, GKD and MRLW Equations by Cosecant-hyperbolic Function Method, Inter. J. of Adv. Engg. And Global Technology, 1(2), 57-63, Sep. (2013).
- Zain Ul Abadin Zafar, T. Hussain, A. Pervaiz, M. O. Ahmad, M. Kalim, ZZ Fourth Order Compact BVM for one dimensional Advection Diffusion Equation, PJS, 65 (1), 129-132, March (2013).
- Zain Ul Abadin Zafar, T. Hussain, A. Pervaiz, M. O. Ahmad, M. Rafiq, M. Kalim, Finite Element Model for Linear Second Order one dimensional homogeneous Telegraph Equation, PJS, 65 (1), 69-72, March (2013).
- Zain Ul Abadin Zafar, Pervaiz, M. O. Ahmad, Solution of Burger’s Equation with the help of Laplace Decomposition Method, Pak. J. Engg. & Appl. Sci. 12, 39-42, Jan (2013).
- Zain Ul Abadin Zafar, T. Hussain, A. Pervaiz, M. O. Ahmad, M. Kalim, A New Fourth Order Compact Difference Scheme for one dimensional Advection Diffusion Equation, PJS, 64 (4), 359-362, Dec. (2012).
- Zain Ul Abadin Zafar, O. Ahmad, A. Pervaiz, Nazir Ahmad, ZZ Fourth Order Compact BVM for the Equation of Lateral Heat Loss, Pak. J. Engg. & Appl. Sci. 11, 96-103, July (2012).
- Zain Ul Abadin Zafar, O. Ahmad, A. Pervaiz, Fourth Order Compact Method for one dimensional homogeneous Telegraph Equation, PJS, 64 (2), 144-150, June (2012).
- T. Hussain, A. Pervaiz, Zain Ul Abadin Zafar, M. O. Ahmad, Fourth Order Compact Method for one dimensional homogeneous Damped Wave Equation, PJS, 64 (2), 122-126, June (2012).