School of Natural Sciences
Faculty Shams Ul Arifeen

Shams Ul Arifeen

Assistant Professor
Summary

Dr. Shams Ul Arifeen completed his PhD from GIKI and served as assistant professor at FAST-NUCES for more than three years. He is deeply committed to teaching, continuous learning, academic reading, and brings relevance to his teaching through real-world applications. His research interests include computational mathematics, numerical methods and machine learning, with a focus on integrating mathematics with real-world problems. He is dedicated to research-driven education and mentoring students to develop strong analytical and practical problem-solving skills.

Academic Background
PhD (Applied Mathematics) Ghulam Ishaq Khan Institute of Science & Technology September 30, 2019 - March 20, 2023
Honours and Awards
Publications
Computational study of variable order time-fractional differential equations arising in modeling of transport processes and viscoelastic oscillator September 01, 2025 Ain Shams Engineering Journal - Volume:16, Issue:9, Article Number 103532
Comparative study of slow and fast diffusion processes via quadratic and cubic B-spline Galerkin method August 01, 2025 Ain Shams Engineering Journal - Volume:16, Issue:8, Article Number 103449
Integrated Lucas and Fibonacci polynomial approach for time fractional fast and slow di®usion models March 20, 2025 International Journal of Modern Physics C - Volume:36, Issue:9, Article Number 2550012
Numerical solution of seventh order KdV equations via quintic B-splines collocation method February 01, 2025 Alexandria Engineering Journal - Volume:114, Page:497-506
Computational study of time-fractional non-linear Kawahara equations using Quintic B-spline and Galerkin's method December 01, 2024 Partial Differential Equations in Applied Mathematics - Volume:12, Article Number 100779
Computational study of coupled Whitham Broer Kaup equations via interpolation technique November 16, 2024 Ain Shams Engineering Journal - Volume:15, Issue:11, Article Number 103007
Galerkin approximation of Burgers-Huxley equation with fractional order arising in reaction mechanism and diffusion transport November 06, 2024 Physica Scripta - Volume:99, Issue:12, Article Number 125215
Approximation of one and two dimensional nonlinear generalized Benjamin-Bona-Mahony Burgers' equation with local fractional derivative October 15, 2024 Computers & Mathematics with Applications - Volume 172, Pages 125-133
A hybrid kernel-based meshless method for numerical approximation of multidimensional Fisher’s equation September 01, 2024 Mathematics and Computers in Simulation - Volume 223, Pages: 130-157
Numerical Solution of Third-Order Rosenau–Hyman and Fornberg–Whitham Equations via B-Spline Interpolation Approach July 26, 2024 Axioms - Volume 13(8), Article Number 501
Galerkin approximation for multi-term time-fractional differential equations July 01, 2024 Ain Shams Engineering Journal - Volume:15, Issue:7, Article Number 102806
On the analysis and application of a spectral collocation scheme for the nonlinear two-dimensional fractional diffusion equation January 01, 2024 Results in Physics - Volume:56, Article Number 107222
An efficient computational technique for higher order KdV equation arising in shallow water waves July 01, 2023 Applied Numerical Mathematics - Volume:189, Page:53-65
A high-order reliable and efficient Haar wavelet collocation method for nonlinear problems with two point-integral boundary conditions May 15, 2023 Alexandria Engineering Journal - Volume:71, Page:185-200
Petrov–Galerkin approximation of time-fractional coupled Korteweg–de Vries equation for propagation of long wave in shallow water May 01, 2023 Mathematics and Computers in Simulation - Volume:207, Page:226-242
Computational Study of Multiterm Time-Fractional Differential Equation Using Cubic B-Spline Finite Element Method November 23, 2022 Complexity - Volume 2022, Article ID 3160725, 15 pages
Numerical solutions of higher order boundary value problems via wavelet approach July 27, 2021 Advances in Difference Equations - Volume:2021, Issue:1, Article Number 347
Numerical solutions of two dimensional Sobolev and generalized Benjamin–Bona–Mahony–Burgers equations via Haar wavelets January 23, 2019 Computers and Mathematics with Applications - Volume 77, Issue 2, Pages 565-575
Conferences
Asst Prof FAST-NUCES January 04, 2023 - January 15, 2026