Makes complex topics easy to understand.
Dr. Muhammad Kashif Rehan is a Professor in the Department of Natural Sciences and Humanities at the University of Engineering and Technology (UET) Lahore, KSK Campus. He holds a Ph.D. and serves as Chairman of the Department of Mathematics. His research focuses on Computer Aided Geometric Design, Theory of Spline and Approximation, Numerical Analysis, and Applied Mathematics. He has made significant contributions to subdivision schemes for curve and surface design, numerical solutions for boundary value problems, fractional-order modeling of epidemics, and analytical solutions for nonlinear wave equations. Key publications include 'HIV/AIDS epidemic fractional-order model' with Z.U.A. Zafar and M. Mushtaq (Journal of Difference Equations and Applications, 2017), 'Numerical treatment for nonlinear Brusselator chemical model' with Z.U.A. Zafar, M. Mushtaq, and M. Rafiq (Journal of Difference Equations and Applications, 2017), 'Improved binary four point subdivision scheme and new corner cutting scheme' with S.S. Siddiqi (Computers & Mathematics with Applications, 2010), 'Modified form of binary and ternary 3-point subdivision schemes' with S.S. Siddiqi (Applied Mathematics and Computation, 2010), 'Numerical modeling for nonlinear biochemical reaction networks' with Z.A. Zafar, M. Mushtaq, and M. Rafiq (Iranian Journal of Mathematical Chemistry, 2017), 'A non-integer order dengue internal transmission model' with Z.U.A. Zafar and M. Mushtaq (Advances in Difference Equations, 2018), 'A ternary three-point scheme for curve designing' with S.S. Siddiqi (International Journal of Computer Mathematics, 2010), 'A family of ternary subdivision schemes for curves' with S.S. Siddiqi (Applied Mathematics and Computation, 2015), and 'Traveling wave behavior of new (2+1)-dimensional combined KdV–mKdV equation' with M. Vivas-Cortez, G. Akram, M. Sadaf, S. Arshed, and K. Farooq (Results in Physics, 2023). Recent work includes 'Extraction of Optical Solitons for Conformable Perturbed Biswas-Arshed Equation' (2024). His Ph.D. thesis is titled 'A non-stationary binary six point subdivision technique'. Additionally, he holds administrative roles such as Hostel Warden at KSK Campus.
Dr. Rehan's publications demonstrate applications in epidemic modeling, chemical reactions, biochemical networks, and geometric modeling, advancing numerical and analytical techniques in applied mathematics within engineering contexts.