Computational Mathematics and its applications

  • Development of Iterative Techniques for solving nonlinear Equations.
  • Approximation techniques for definite integrals.
  • Development of Finite element and Finite difference methods for solving ODE's and PDE's.
  • Construction of iterative methods for solving large system of linear equations.
  • Optimization techniques for scientific problems.
  • Exact solution of nonlinear evolution problems arising in mathematical physics
  • Numerical study of fractional-order physical problems
  • Extension and development of spectral methods
  • Mathematical modelling through fractional calculus