• Numerical analysis and scientific computing.
Spectral methods and their applications.
• Developing spectral methods for solving ordinary/partial functional differential equations.
• Nonlinear partial differential equations.
• Fractional Differential Equations.
• Variable order fractional differential equations.
• Fractional integral equations.
• Fractional integro-differential equations.
• Variable order fractional integro-differential equations.
• Distributed order fractional differential equations.
• Error and convergence analysis.
• Orthogonal polynomials.