Muhammad Safdar

Associate Professor
School of Mechanical & Manufacturing Engineering
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About

Dr. Muhammad Safdar is working as Associate Professor in the School of Mechanical & Manufacturing Engineering. Dr. Muhammad Safdar has a PhD in Differential Equations . Dr. Muhammad Safdar has published 37 research articles & conference papers having a citation count of 171 , carried out 0 projects and filed 0 intellectual property.

Research Tags

Analytic and approximate techniques for Differential Equations Fluid flow models Lie symmetry transformations Linearization of Differential Equations MATLAB & MAPLE coding for analytic and approximate procedures Reduce Order Modelling Mathematical biology

Research Projects

0

Industry Projects

0

Amount Granted

0.0 M

Publications

37

Citations

171

Intellectual Property

0
Publication Types
Project Types
Publications by Year
Projects by Year

Research Collaborators

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Safia Taj

College of Electrical & Mechanical Engineering
13 Collaborations
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Riaz Ahmad Khan

School of Mechanical & Manufacturing Engineering
4 Collaborations
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Muhammad Tauseef Nasir

School of Mechanical & Manufacturing Engineering
4 Collaborations
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Shoaib Ahmed

School of Mechanical & Manufacturing Engineering
4 Collaborations
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Sajid Ali

School of Electrical Engineering and Computer Science
3 Collaborations
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Hina Munir Dutt

School of Electrical Engineering and Computer Science
3 Collaborations
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Asghar Qadir

School of Natural Sciences
3 Collaborations
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Adnan Munir

School of Mechanical & Manufacturing Engineering
2 Collaborations
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Karam Dad

School of Mechanical & Manufacturing Engineering
2 Collaborations
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Hammad Mehmood Cheema

School of Electrical Engineering and Computer Science
1 Collaboration
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Shahid Ikram Ullah Butt

School of Mechanical & Manufacturing Engineering
1 Collaboration
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Khawaja Fahad Iqbal

School of Mechanical & Manufacturing Engineering
1 Collaboration
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Waqas Khalid

School of Mechanical & Manufacturing Engineering
1 Collaboration
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Tooba Siddiqui

School of Natural Sciences
1 Collaboration
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Adnan Aslam

School of Electrical Engineering and Computer Science
1 Collaboration
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Muhammad Umar Farooq

College of Electrical & Mechanical Engineering
1 Collaboration

Education

PhD Differential Equations 2006- 2013
NUST, Islamabad , Pakistan
MSc Mathematics 2002- 2004
University of the Punjab , Pakistan
BSc Mathematics and Physics 2000- 2002
University of the Punjab , Pakistan
F.Sc PreEngineering 1997- 1999
BISE, Rawalpindi , Pakistan
Matric (SSC) Science 1995- 1997
BISE, Rawalpindi , Pakistan

Experience

Associate Professor 2024- Present
School of Mechanical & Manufacturing Engineering , NUST
Assistant Professor 2013- 2024
School of Mechanical & Manufacturing Engineering , NUST

Awards

Memberships

No project records found for this faculty member
27
Research Articles
9
Conference Proceedings
0
Books
1
Book Chapters
0
Editorial Activities
Lie symmetries in nonlinear liquid film flow with heat and mass transfer and variable magnetic field 2025
IL
Ilyas Khan (Al-Ahliyya Amman University)
TH
Thoraya N. Alharthi (University of Bisha)
GH
Ghani Khan
GH
Ghaliah Alhamzi (Imam Mohammad Ibn Saud Islamic University)
Muhammad Safdar
BI
Bismah Jamil (Allama Iqbal Open University (AIOU))
Safia Taj
Riaz Ahmad Khan
AB
Abaker A. Hassaballa (Northern Border University)
WE
Wei Sin Koh (INTI International University)
Journal: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, Pages:21
Impact Factor: 2.9 Citations: 0 Quartile: 1
SDG 9
An End-to-End Approach to Detect Railway Track Defects based on Supervised and Self-Supervised Learning 2024
Hammad Mehmood Cheema
Muhammad Tauseef Nasir
Muhammad Safdar
Shahid Ikram Ullah Butt
MU
Muhammad Haroon
MU
Muhammad Jawad Khan (Prince Sattam bin Abdulaziz University)
Journal: Results in Engineering, In Press
Impact Factor: 6.000 Citations: 4 Quartile: 1
SDG 9
Lie reduced order modeling of unsteady thermosolutal Marangoni magnetohydrodynamic convection conjoined with chemical reaction and heat generation 2025
Muhammad Safdar
BI
Bismah Jamil (Allama Iqbal Open University)
Muhammad Tauseef Nasir
CH
Chaudhry Kashif Iqbal
Safia Taj
Adnan Munir
Journal: Results in Physics, Volume:78, Article Number 108492
Impact Factor: 4.600 Citations: 0 Quartile: 1
SDG 6 SDG 7 SDG 12
Thermo-economic evaluation of working fluids for a flue gas driven organic Rankine cycle powered vapor compression cycle for cooling air conditioning using a two-step intermediate performance index 2026
MU
Muhammad Talha
Muhammad Tauseef Nasir
Khawaja Fahad Iqbal
Waqas Khalid
Muhammad Safdar
NA
Nawaf Mehmood Malik
Journal: Energy Conversion and Management, Volume:347, Article Number:120541
Impact Factor: 10.9 Citations: 0 Quartile: 1
SDG 7 SDG 9 SDG 11 SDG 12
Optimal systems and their group invariants solutions to geodesic equations 2019
Muhammad Safdar
BI
Bismah Jamil
Tooba Siddiqui
Journal: International Journal of Geometric Methods in Modern Physics, Volume 16, Issue 9, Article Number 1950135
Impact Factor: 1.287 Citations: 2 Quartile: 3
Linearization of systems of four second order ordinary differential equations 2011
Sajid Ali
F
F M Mahomed (University of the Witwatersrand)
Muhammad Safdar
Journal: PRAMANA-journal of physics, Volume 77, Issue 3, Pages 581-594, Special Issue SI
Impact Factor: 0.575 Citations: 6 Quartile: 3
Comparative analysis of analytical and numerical approximations for the flow and heat transfer in mixed convection stagnation point flow of Casson fluid 2023
M.
M. Tanzeel-ur-Rehman Siddiqi
Muhammad Safdar
Hina Munir Dutt
Safia Taj
M.
M. Ijaz Khan (Riphah International University)
BA
Barno Sayfutdinovna Abdullaeva (Tashkent State Pedagogical University)
RE
Reem Altuijri (Princess Nourah bint Abdulrahman University)
AH
Ahmed M. Hassan (Future University in Egypt)
Journal: Results in Physics, Volume 52, Article Number 106819
Impact Factor: 5.3 Citations: 3 Quartile: 1
SDG 4
Generalised Lie similarity transformations for the unsteady flow and heat transfer under the influence of internal heating and thermal radiation 2023
Muhammad Safdar
Safia Taj
MU
Muhammad Bilal
Shoaib Ahmed
SH
Shuguang Li (Shandong Technology and Business University)
M
M Ijaz Khan (Lebanese American University)
MA
Maimona Rafiq (COMSATS University Islamabad)
SH
Sherzod Shukhratovich Abdullaev (Tashkent State Pedagogical University)
Journal: Pramana-Journal of Physics, Volume:97, Issue:4, Article Number: 203,
Impact Factor: 2.8 Citations: 43 Quartile: 2
SDG 4
Reduction of systems of two nonlinear parabolic type partial differential equations to solvable forms using differential invariants 2021
M.
M.H. Yaseen (Riphah International University)
Muhammad Safdar
M.
M. Ijaz Khan (Riphah International University)
M.
M.Y. Malik (King Khalid University)
QI
Qiu-Hong Shi (Huzhou University)
Journal: Chaos, Solitons and Fractals, Volume 150, Article Number 111107
Impact Factor: 9.922 Citations: 3 Quartile: 1
Construction of similarity transformations and analytic solutions for a liquid film on an unsteady stretching sheet using lie point symmetries 2021
Muhammad Safdar
M.
M. Ijaz Khan (Riphah International University)
Safia Taj
M.
M.Y. Malik (King Khalid University)
QI
Qiu-Hong Shi (Huzhou University)
Journal: Chaos, Solitons and fractals, Volume 150, Article Number 111115
Impact Factor: 9.922 Citations: 19 Quartile: 1
Comparison of Noether Symmetries and First Integrals of Two-Dimensional Systems of Second Order Ordinary Differential Equations by Real and Complex Methods 2019
Muhammad Safdar
AS
Asghar Qadir (-)
AS
Asghar Qadir (-)
Muhammad Umar Farooq
Journal: Symmetry, Volume 11, Issue 9
Impact Factor: 2.645 Citations: 3 Quartile: 2
Linearization criteria for two-dimensional systems of third-order ordinary differential equations by complex approach 2019
Muhammad Safdar
Asghar Qadir
Hina Munir Dutt
Journal: Arabian Journal of Mathematics, Volume 8, Issue 3, Pages 163-170, Part 1
Impact Factor: N/A Citations: 6 Quartile: N/A
Reduce-Order Modeling and Higher Order Numerical Solutions for Unsteady Flow and Heat Transfer in Boundary Layer with Internal Heating 2022
Muhammad Safdar
Safia Taj
AM
Amad Zafar (Sejong University)
MU
Muhammad Umair Ali (Sungkyunkwan University)
SE
Seung Won Lee (Sungkyunkwan University)
MU
Muhammad Bilal
Journal: Mathematics, Volume 10, Issue 24, Article Number 4640
Impact Factor: 2.4 Citations: 4 Quartile: 1
SDG 10
Analytic similarity solutions for fully resolved unsteady laminar boundary layer flow and heat transfer in the presence of radiation 2023
MU
Muhammad Bilal
Muhammad Safdar
Shoaib Ahmed
Riaz Ahmad Khan
Journal: Heliyon, Volume 9, Issue 4, Article Number e14765
Impact Factor: 3.776 Citations: 5 Quartile: 2
SDG 9
Multiple Lie symmetry solutions for effects of viscous on magnetohydrodynamic flow and heat transfer in non-Newtonian thin film 2023
Muhammad Safdar
Safia Taj
MU
Muhammad Bilal
Shoaib Ahmed
MU
Muhammad Ijaz Khan (Riphah International University)
SA
Sana Ben Moussa (King Khalid University)
BA
Bandar M. Fadhl (Umm Al-Qura University)
BA
Basim M. Makhdoum (Umm Al-Qura University)
SA
Sayed M. Eldin (Future University in Egypt)
Journal: Open Physics, Volume 21, Issue 1, Pages 1-14
Impact Factor: 1.361 Citations: 5 Quartile: 3
Analytical Solutions for Unsteady Thin Film Flow with Internal Heating and Radiation 2023
AH
Ahsan Ali Naseer
Muhammad Safdar
Safia Taj
MU
Muhammad Umair Ali (Sejong University)
AM
Amad Zafar (Sejong University)
KW
Kwang Su Kim (Pukyong National University)
JO
Jong Hyuk Byun (Pusan National University)
Journal: Journal of Mathematics, Volume 2023 | Article ID 5612023
Impact Factor: 1.555 Citations: 1 Quartile: 1
SDG 4
Urban traffic signal control optimization through Deep Q Learning and double Deep Q Learning: a novel approach for efficient traffic management 2024
QA
Qazi Umer Jamil
Karam Dad
MU
Muhammad Jawad Khan (Prince Sattam Bin Abdulaziz University)
Muhammad Safdar
AM
Amad Zafar (Sejong University)
MU
Muhammad Umair Ali (Sejong University)
Journal: Multimedia Tools and Applications, Pages 1-24
Impact Factor: 3.000 Citations: 0 Quartile: 2
SDG 11
Linearization from Complex Lie Point Transformations 2014
Sajid Ali
Muhammad Safdar
Asghar Qadir
Journal: Journal of Applied Mathematics, Volume 2014, Article ID 793247, 8 pages
Impact Factor: N/A Citations: 11 Quartile: N/A
Ibragimov-type invariants for a system of two linear parabolic equations 2012
F.
F.M.Mahomed (University of Witwatersrand)
J.
J. Zama (University of Witwatersrand)
Muhammad Safdar
Journal: Communications in Nonlinear Science and Numerical Simulation, Volume 17, Issue 8, Pages 3140–3147
Impact Factor: 2.773 Citations: 4 Quartile: 1
Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis 2011
Muhammad Safdar
Asghar Qadir
Sajid Ali
Journal: Mathematical Problems in Engineering, Volume 2011, Article ID 171834, 17 pages
Impact Factor: 0.777 Citations: 8 Quartile: 2
Numerical approximations for fluid flow and heat transfer in the boundary layer with radiation through multiple Lie similarity transformations 2023
MU
Muhammad Bilal
Muhammad Safdar
Shoaib Ahmed
Karam Dad
AM
Amad Zafar (Sejong University)
MU
Muhammad Umair Ali (Sejong University)
KW
Kwang Su Kim (Pukyong National University)
JO
Jong Hyuk Byun (Pusan National University)
Journal: Frontiers in Physics, Volume 11, Article Number 1210827
Impact Factor: 3.1 Citations: 1 Quartile: 2
SDG 4
Heat transfer in MHD thin film flow with concentration using lie point symmetry approach 2023
Muhammad Safdar
Safia Taj
Riaz Ahmad Khan
GH
Ghani Khan
IL
Ilyas khan (Majmaah University)
SA
Sayed M Eldin (Future University in Egypt)
RE
Reham A. Alahmadi (Saudi Electronic University)
Journal: Case Studies in Thermal Engineering, Volume 49, Article Number 103238
Impact Factor: 6.8 Citations: 17 Quartile: 1
SDG 12
Linearization of Two Dimensional Complex-Linearizable Systems of Second Order Ordinary Differential Equations 2015
Hina Munir Dutt
Muhammad Safdar
Journal: Applied Mathematical Sciences, Volume 9, No. 58, Pages 2889-2900
Impact Factor: 0 Citations: 2 Quartile: N/A
Lie-symmetry analysis of a three dimensional flow due to unsteady stretching of a flat surface with non-uniform temperature distribution 2025
GH
Ghani Khan
Muhammad Safdar
Safia Taj
Adnan Munir
Muhammad Tauseef Nasir
Journal: Alexandria Engineering Journal, Volume 112, January 2025, Pages 424-435
Impact Factor: 6.200 Citations: 1 Quartile: 1
SDG 9
One-dimensional optimal system of Lie sub-algebra and analytic solutions for a liquid film fluid flow 2022
FU
Fuzhang Wang (Xuzhou Institute of Technology)
Muhammad Safdar
BI
Bisma Jamil (Allama Iqbal Open University)
MU
Muhammad Ijaz Khan (Riphah International University)
Safia Taj
M.
M.Y. Malik (King Khalid University)
A.
A.S. Alqahtani (Prince Sattam Bin Abdulaziz University)
AH
Ahmed M. Galal (Mansoura University)
Journal: Chinese Journal of Physics, Volume 78, Pages 220-223
Impact Factor: 5.00 Citations: 8 Quartile: 1
SDG 9
Analytic solutions for the MHD flow and heat transfer in a thin liquid film over an unsteady stretching surface with Lie symmetry and homotopy analysis method 2022
Muhammad Safdar
MU
Muhammad Ijaz Khan (Riphah International University)
Riaz Ahmad Khan
Safia Taj
FA
Faizan Abbas (Riphah International University)
SA
Samia Elattar (Princess Nourah bint Abdulrahman University)
AH
Ahmed M. Galal (Prince Sattam Bin Abdulaziz University)
Journal: Waves in Random and Complex Media, Pages 1-19
Impact Factor: 4.051 Citations: 14 Quartile: 2
SDG 9
Lie symmetry analysis of heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation and external magnetic field 2022
Safia Taj
MU
Muhammad Ijaz Khan (Riphah International University)
Muhammad Safdar
SA
Samia Elattar (Princess Nourah bint Abdulrahman University)
AH
Ahmed M. Galal (Mansoura University)
Journal: Waves in Random and Complex Media, Pages 1-16
Impact Factor: 4.853 Citations: 1 Quartile: 1
SDG 12
Working Fluid Selection for Biogas-Powered Organic Rankine Cycle-Vapor Compression Cycle
MU
Muhammad Talha
NA
Nawaf Mehmood Malik
Muhammad Tauseef Nasir
Waqas Khalid
Muhammad Safdar
Khawaja Fahad Iqbal
Conference: 3rd International Conference on Modern Technologies in Mechanical & Materials Engineering (MTME2025)
Citations: N/A
SDG 7 SDG 11 SDG 13
Lie Optimal Solutions of Heat Transfer in a Liquid Film over an Unsteady Stretching Surface with Viscous Dissipation and an External Magnetic Field
HA
Haris Ahmad
CH
Chaudhry Kashif Iqbal
Muhammad Safdar
BI
Bismah Jamil (Allama Iqbal Open University (AIOU))
Safia Taj
Conference: 3rd International Conference on Modern Technologies in Mechanical and Materials Engineering-MTME 2025
Citations: N/A
Invariants for a system of two linear hyperbolic equations by complex methods
Adnan Aslam
F.
F. M. Mahomed (University of the Witwatersrand)
AS
Asghar Qadir (Ghulam Ishaq Khan Institute of Engineering and Technology)
Muhammad Safdar
Conference: The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
Citations: N/A
Semi Invariants for Linear Third Order Evolution Equation
Muhammad Safdar
Riaz Ahmad Khan
Safia Taj
Conference: 16th International Conference of Numerical Analysis and Applied Mathematics
Citations: N/A
Lie point algebraic classification of linear third order ODEs using differential invariants
Muhammad Safdar
Safia Taj
RU
Rubina Rauf (Allama Iqbal Open University)
Conference: THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018)
Citations: N/A
On Differential Invariants of A Class of Generalized Diffusion Equations
Muhammad Safdar
Riaz Ahmad Khan
Safia Taj
Conference: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM-2018)
Citations: N/A
Differential Invariants for Two and Three Dimensional Linear Parabolic Equations
Adnan Aslam
AS
Asghar Qadir (-)
Muhammad Safdar
Conference: International Conference on Symmetries, Differential Equations and Applications
Citations: N/A
Classification of Two-Dimensional Linearizable Systems of Third Order Ordinary Differential Equations by Complex Methods
HI
Hina M. Dutt (-)
Muhammad Safdar
AS
Asghar Qadir (-)
Conference: 14th Regional Conference on Mathematical Physics
Citations: N/A
Differential Invariants For Nonlinear Third Order Evolution Type Partial Differential Equations
Muhammad Safdar
Safia Taj
Conference: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018)
Citations: N/A
Lie equivalence transformations and differential invariants for a generalized third-order Schrödinger partial differential equation with variable coefficients using real decomposition 2025
MA
Marya Zainab
Adnan Aslam
Muhammad Safdar
Book: Analytical Methods in Differential Equations (Pages 14-21)
Citations: N/A
SDG 4
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Total Supervisions
0
PhD Supervisions
0
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