PHD at Abdul Wali Khan University Mardan, Pakistan
Dr. Sajjad Ali is a Lecturer in Mathematics at Shaheed Benazir Bhutto University Sheringal, Dir (Upper), Pakistan. He received his Ph.D. in Mathematics from Abdul Wali Khan University Mardan in 2019. With over a decade of teaching experience, Dr. Ali specializes in Bio-Mathematics, Fractional Differential Equations, and Advanced Homotopy Methods. He supervises M.Phil and Ph.D. students and is involved in departmental administration. His research interests include mathematical modeling and computational methods. Dr. Ali is proficient in MATLAB, MS Office, Excel, and LaTeX, and he is fluent in Urdu, English, Pashto, and Khohar.
Professional Profiles
Education
Ph.D. in Mathematics (2015 – 2019) Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan M.Phil in Mathematics (2009 – 2012) Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan Bachelor of Education (B.Ed) (2007 – 2008) Allama Iqbal Open University, Islamabad, Pakistan Master of Science in Mathematics (2005 – 2007) University of Malakand Chakdara, Khyber Pakhtunkhwa, Pakistan Bachelor of Science in Mathematics (2002 – 2004) Government Degree College Tangi, Charsadda, Khyber Pakhtunkhwa, Pakistan F.Sc. Pre-Engineering (2000 – 2002) Government Degree College Tangi, Charsadda, Khyber Pakhtunkhwa, Pakistan Metric in Science (1999 – 2000) Government School No.2 Tangi, Charsadda, Khyber Pakhtunkhwa, Pakistan.
Skills
Research in Mathematics Teaching and Administrative Skills Software MATLAB MS Office Excel LaTeX
Work History
Shaheed Benazir Bhutto University Sheringal, Dir (Upper), Pakistan Lecturer in Mathematics (2011 – Present) Teaching Ph.D./M.Phil courses in Bio-Mathematics, Fractional Differential Equations, and Advanced Homotopy Methods Teaching BS courses in Partial Differential Equations and Ordinary Differential Equations Supervising M.Phil and Ph.D. research students M.Phil/Ph.D. Coordinator in the Department of Mathematics Member of the Departmental Admission Committee Warden of Ihsan Boys Hostel Tameer e Seerat Degree College, Mardan Campus, Pakistan Lecturer in Mathematics (2010 – 2011) Taught graduate-level Mathematics Hostel Warden Farabi Degree College, Peshawar, Pakistan Lecturer in Mathematics (2009 – 2010) Taught graduate-level Mathematics Government Degree College, Tangi, Charsadda, Pakistan Lecturer in Mathematics (2007 – 2009) Taught graduate-level Mathematics
Interests
Mathematical modeling, Computational methods
Awards
Top Position Holder in Master of Mathematics at University of Malakand (2007) Awardee as Lecturer in Mathematics through the Higher Education Commission Pakistan (2008)
Research Focuse
Dr. Sajjad Ali’s research focuses on the numerical treatment and computational solutions of fractional order differential equations, with applications in reaction-diffusion systems, biological population models, and ion-acoustic waves. His work includes developing iterative and stable methods for solving boundary value problems of nonlinear fractional differential equations. Dr. Ali has collaborated extensively with international researchers, contributing to journals such as Chaos, Solitons & Fractals and the Journal of Advanced Research. His studies also explore the stability analysis and exact solutions of complex mathematical models, emphasizing fractional calculus and its applications in various scientific and engineering problems.
Publications
- Nonlinear coupling of upper-hybrid waves with lower-hybrid waves in a degenerate dense plasma, Publication date: 2021.
- Unstable mode of ion-acoustic waves with two temperature q-nonextensive distributed electrons, Publication date: 2021.
- Computation of solution to fractional order partial reaction diffusion equations, Publication date: 2020.
- On stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equations, Publication date: 2019.
- Computation of iterative solutions along with stability analysis to a coupled system of fractional order differential equations, Publication date: 2019.
- Approximate solutions to nonlinear fractional order partial differential equations arising in ion-acoustic waves, Publication date: 2019.
- Stable monotone iterative solutions to a class of bound-ary value problems of nonlinear fractional order differential equations, Publication date: 2019.
- Monotone iterative technique and Ulam-Hyers stability analysis for nonlinear fractional order differential equations with integral boundary value conditions, Publication date: 2019.
- Optimum solutions of space fractional order diffusion equation, Publication date: 2018.
- On Approximate solutions of fractional Order partial differential equations, Publication date: 2018.
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