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.
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. 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.