dr muhammad afzal (Math)

Dr. Muhammad Afzal


Muhammad Afzal joined CUST in 2015. He previously worked at Bahria University Islamabad and Wah Engineering College, as a visiting Lecturer. Muhammad Afzal did his PhD in acoustics scattering and structural vibrations at Quad-i-Azam University, Islamabad, under the supervision of Prof Muhammad Ayub. His PhD focused on the use of Mode-Matching (MM) technique and Non- Sturm-Liouville systems. He extended MM approach using Galerkin procedure, in collaboration with Dr Jane B Lawrie at Brunel University, London, UK. His recent research interests have focused on the development of effective analytical and computational models for the analysis of guided waves, which has been incorporated the propagation of sound waves in air, but also elastic waves in structures.

PhD Mathematics Quaid-e-Azam University, Islamabad, Pakistan 2015
MPhil Mathematics Quaid-e-Azam University, Islamabad, Pakistan 2011
MSc Mathematics University of the Punjab, Lahore 2008
Associate Professor Capital University of Science and Technology (CUST), Islamabad Since – 2022
Assistant Professor Capital University of Science and Technology (CUST), Islamabad 2015 – 2022
Lecturer (Visiting) Wah Engineering College, Wah Cantt 2013-2015
Lecturer (Visiting) Bahria University Islamabad 2012-2014
1. Visited Brunel University London, UK as an Academic Researcher under International Research Support Initiative Program of HEC (July 2013-Jan. 2014).
2. Got merit scholarship in M. Sc. and M. Phil.
  1. Acoustics and Electromagnetic Waves Scattering;
  2. Structural acoustic, Diffraction theory;
  3. Mode-Matching Technique, Low Frequency Approximation, Symmetries Methods.
1. MPhil Acoustic Scattering and Absorption in Discontinuous Waveguide Involving Porosity
2. MPhil Acoustic Scattering in Bifurcated Waveguide Containing Porous Material
3. PhD Scattering Analysis of Discontinuous flexible panels with different edge conditions(In progress)
4. PhD Acoustics Wave Scattering in Trifurcated Waveguide Containing Structural Discontinuities and Change of Material Properties (In progress)
5. PhD Analysis of Transmission Loss in Active and Passive Devices using Mode-Matching Technique (In progress)
6. PhD Effect of Vertical Flexible Walls of Expansion Chamber in Reactive Silencer: A Tailored Galerkin Approach (In progress)
7. MPhil Analysis of Vertical Membrane Bounded Cavity: A Modal Approach (In progress)
8. MPhil Scattering analysis in discontinuous Cylindrical Waveguide by using Mode-Matching Approach (In progress)
9. MPhil Multimodal analysis of Cavity backed channel (In progress)
  1. M. Afzal, M. Ayub R. Nawaz and A. Wahab, “Mode-matching solution of a scattering problem in flexible waveguide with abrupt geometric changes” has been published as a book chapter in book title: “Imaging, Multi-scale and High Contrast Partial Differential Equations” the Contemporary Mathematics series of American Mathematical Society: 660: 113-129, (2016/3).
1. M. Afzal and S. Shafique, Attenuation analysis of flexural modes with absorbent lined flanges and different edge conditions, Journal of the Acoustical Society of America, 148, 85 (2020). https://doi:
2. S. Shafique, M. Afzal and R. Nawaz, On the attenuation of fluid structure coupled modes in a nonplanar waveguide, Mathematics and Mechanics of Solids, 25(10), 1-20 (2020)
3. M. Afzal, J. U. Satti and R. Nawaz, Scattering characteristics of non-planar trifurcated waveguides, Meccanica, 55, 977-988 (2020).
4. J. U. Satti, M. Afzal and R. Nawaz, Scattering analysis of a partitioned wave-bearing cavity containing different material properties, Physica Scripta (2019)
5. T. Nawaz, M. Afzal and R. Nawaz, The scattering analysis of trifurcated waveguide involving structural discontinuities, Advances in Mechanical Engineering, 11(7), 1-11 (2019)
6. H. Bilal and M. Afzal, Acoustic wave scattering from a wave-bearing cavity in a rectangular waveguide, Journal of the Acoustical Society of America, 144, 1681 (2018)
7. Rab Nawaz, Aasim Ullah Jan and Muhammad Afzal, Fluid-structure coupled wave scattering in a flexible duct at the junction of planar discontinuities, Advances in Mechanical Engineering, 9(7), 1–11 (2017).
8. Sajid Shafique, Muhammad Afzal and Rab Nawaz, On mode matching analysis of fluid-structure coupled wave scattering between two flexible waveguides, Canadian Journal of Physics, 95(6), 581-589 (2017).
9. J. B. Lawrie and M. Afzal, Acoustic scattering in a waveguide with a height discontinuity bridged by a membrane: a tailored Galerkin approach. Journal of Engineering Mathematics, 1-17 (2016).
10. M. Afzal, R. Nawaz, Asim Ullah, Attenuation of dissipative device involving coupled wave scattering and change in material properties, Applied Mathematics and Computations, 290 (2016) 154–163.
11. R. Nawaz, M. Afzal and M. Ayub, Acoustic propagation in two-dimensional waveguide for membrane bounded ducts, CNSNS 20 (2015), pp. 421-433.
12. M. Afzal, R. Nawaz, M. Ayub and A. Wahab, Acoustic scattering in flexible waveguide involving step discontinuity, PLOS One, 9(8): 2014: Paper ID. e103807.
13. M. Afzal, J. U. Satti and R. Nawaz, The wave scattering analysis in a flexible trifurcated waveguide, has been submitted in “Applied Mathematical Modelling” journal for possible publication.
14. M. Afzal and Touqeer Nawaz, The scattering analysis in trifurcated waveguide involving porosity and structural discontinuities has been submitted in “Mathematical Methods in Applied Sciences” journal for possible publication.
15. M. Afzal, Touqeer Nawaz and R Nawaz, Analysis of acoustics wave scattering in trifurcated waveguide for generalized boundary conditions, has been submitted in “Applied Mathematics and Computations” journal for possible publication.
1. M. Afzal, U. Camci, and K. Saifullah, Integrability conditions for conformal Ricci collineation equations, “Proceedings of 13th Regional Conference on Mathematical Physics, Antalya, Turkey: World Scientific, Mathematical Physics: pp. 103-115. (2012)

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