Manzoor Hussain ( Assistant Professor )

Department of Mathematics

1. In Numerical Analysis: scattered data interpolation/approximation problems; numerical solution of ODEs & PDEs by radial basis functions methods, series methods, spectral methods, wavelets methods, and finite difference methods. 2. In Analysis: variational inequalities & equilibrium problems (iterative techniques, convergence); integral inequalities (Simpson’s & Hermite-Hadamard type), geometric function theory of a complex variable (coefficient estimation problems, radius problems, distortion problems, majorization problems, variability regions); integral transforms (Laplace, Fourier); metric fixed point theory.

PhD in Applied Mathematics, GIK Institute of Engineering Sciences & Technology, Topi, Pakistan
1. Zhi-Gang Wang, Manzoor Hussain, Xiao-Yuan Wang, (2023). On sharp solutions to majorization and Fekete-Szego problems for normalized starlike analytic functions, Miskolc Mathematical Notes, Vol. 0, pp. 0-0. [Accepted] [HU, ISSN (online): 1787-2413; HU, ISSN (printed): 1787-2405] (IF: 1.220, SCIE; HJRS: X-Category) [Available: To appear]

2. Abdul Ghafoor, Nazish Khan, Manzoor Hussain, Rahman Ullah, (2022). A hybrid collocation method for the computational study of multi-term time fractional partial differential equations, Computers & Mathematics with Applications, Vol. 128, pp. 130-144. [https://doi.org/10.1016/j.camwa.2022.10.005] [ELSEVIER, ISSN (online): 0898-1221] (IF: 3.218, SCIE; HJRS: W-Category) [Available online 28 October 2022]

3. Abdul Ghafoor, Sirajul Haq, Manzoor Hussain, Thabet Abdeljawad, Manar A Alqudah, (2022). Numerical solutions of variable coefficient high-order partial differential equations arising in beam models, Entropy, Vol. 24, Issue 4, Article Number: 567, 15 pages. [https://doi.org/10.3390/e24040567] [MDPI, ISSN (online): 1099-4300] (IF: 2.524, SCIE; HJRS: W-Category) [Available online 18 April 2022]

4. Manzoor Hussain*, (2022). Analytical modeling of the approximate solution behavior of multi-dimensional reaction-diffusion Brusselator system, Mathematical Methods in the Applied Sciences, Special Issue, 19 pages. [https://doi.org/10.1002/mma.8149] [WILYEY, ISSN (online): 1099-1476] (IF: 3.007, SCIE; HJRS: W-Category) [Available online 18 February 2022]

5. Manzoor Hussain*, (2021). Hybrid radial basis function methods of lines for the numerical solution of viscous Burgers’ equation, Computational and Applied Mathematics, Vol. 40, Article Number: 107, 49 pages. [https://doi.org/10.1007/s40314-021-01505-7] [SPRINGER, ISSN (print): 2238-3603; ISSN (online): 1807-0302] (IF: 2.998, SCIE; HJRS: W-Category) [Available online 11 April 2021]

6. Manzoor Hussain*, Sirajul Haq, (2021). Radial basis functions collocation method for numerical solution of coupled Burgers’ and Korteweg-de Vries equations of fractional order, Iranian Journal of Science and  Technology, Transactions A: Science, Vol. 45, pp. 707–725.[https://doi.org/10.1007/s40995-021-01065-9] [SPRINGER, ISSN (print): 1028-6276; ISSN (online): 2364-1819] (IF: 1.553, SCIE; HJRS: X-Category) [Available online 16 February 2021]

1. Meshless collocation solver for computational modelling of the behavior of reaction-diffusion coupled systems, NRPU - HEC Pakistan, RS. 5649320/- (five million six hundred forty-nine thousand three hundred twenty) Approved: Project No 14410 [PrincipaI Investigator]
  1. 2. A study of some results on generalized contractions in generalized metric spaces with applications, Startup Research Grant Program by HEC Pakistan, 0.389 Million PKR (Funded/Approved and In Progress) [Co-PrincipaI Investigator]

1. Participated in ”The Second International Workshop on Matrix Theory and Applications” held online at Zoom platform on November 15-17, 2022.

2. Participated in "First International Pak-Turk Workshop on Engineering Technologies in the field of Sciences & Engineering", held at GIK Institute, Pakistan, May 09, 2018.

3. Participated in "National Workshop on Advancements in Pure and Applied Mathematics", held at Comsats University Islamabad (Attock Campus), April 24-25, 2014.