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.
1. ManzoorHussain*. (2025). COEFFICIENT BOUNDS FOR SUBFAMILIES OF ANALYTICMAPPINGS OF COMPLEX ORDER ASSOCIATED WITH THE RUSCHEWEYH DERIVATIVE ANDDIFFERENTIAL EQUATION, TURKISH JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE,Vol. xxx, pp. xx-xx. [https://doi.org/10.47000/tjmcs.1545173] [TUBITAK, ISSN(online): 1872-7166] (IF: 0.000, SCIE; W-Category) [Accepted Availableonline 00 XXXX 2025]
2. ManzoorHussain*, Abdul Ghafoor. (2025). ON THE COMPUTATIONAL MODELING OF THEBEHAVIOR OF A THREE-DIMENSIONAL BRUSSELATOR SYSTEM USING A LOCALIZED MESHLESSMETHOD, MATHEMATICS AND COMPUTERS IN SIMULATION, Vol. 237, pp. 18-41. [https://doi.org/10.1016/j.matcom.2025.04.020][ELSEVIER, ISSN (online): 1872-7166] (IF: 4.400, SCIE; W-Category)[Available online 02 May 2025]
3.Muhammad Bilal, Abdul Ghafoor, Manzoor Hussain, Kamal Shah, ThabetAbdeljawad. (2025). NUMERICAL SCHEME FOR THE COMPUTATIONAL STUDY OF TWO-DIMENSIONALDIFFUSION AND BURGERS’ SYSTEMS WITH STABILITY AND ERROR ESTIMATE, JOURNALOF NONLINEAR MATHEMATICAL PHYSICS, Vol. 32, Article No. 25, 23 pages. [https://doi.org/10.1007/s44198-025-00277-6][SPRINGER, ISSN (online): 1776-0852] (IF: 1.400, SCIE; W-Category)[Available online 22 April 2025]
4. AslamKhan, Abdul Ghafoor, Emel Khan, Manzoor Hussain. (2025). HAAR WAVELETBASED METHOD OF LINES FOR THE NUMERICAL SOLUTIONS OF INVERSE PROBLEMS WITHSPACE DEPENDENT SOURCE AND NOISE INTENSITY PARAMETER ON THE BOUNDARY, PHYSICASCRIPTA, Vol. 100, Issue 4, p. 045251. [https://doi.org/10.1088/1402-4896/adc20d][IOP Publishing, ISSN (online): 1402-4896] (IF: 2.600, SCIE; W-Category)[Available online 31 March 2025]
5. ManzoorHussain*. (2025). KERNEL-BASED MESHLESS APPROXIMATION METHOD FOR A FLUIDFLOW MODEL: A LEAST-SQUARE APPROACH WITH DECOMPOSITION OF INTERIOR AND BOUNDARYDATA, COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 44, Article No. 149, 32pages. [https://doi.org/10.1007/s40314-025-03109-x] [SPRINGER, ISSN (online):1807-0302] (IF: 2.500, SCIE; W-Category) [Available online 30 January2025]
6. IhteramAli, Shamsul Arifeen, Manzoor Hussain, Sahar Ahmad Idris. (2025). INTEGRATEDLUCAS AND FIBONACCI POLYNOMIAL APPROACH FOR TIME FRACTIONAL FAST AND SLOWDIFFUSION MODELS, INTERNATIONAL JOURNAL OF MODERN PHYSICS C, p. 2550012 (22pages). [https://doi.org/10.1142/S0129183125500123] [WORLD SCIENTIFIC, ISSN(online): 1793-6586] (IF: 1.500, SCIE; W-Category) [Available online 20March 2025]