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. Read More