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[01573] A novel robust adaptive algorithm for time fractional diffusion wave equation on non-uniform meshes

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E711
  • Type : Contributed Talk
  • Abstract : In this work, a novel high-order adaptive algorithm on non-uniform grid points for the Caputo fractional derivative is derived. Developed algorithm allows one to build adaptive nature where numerical scheme is adjusted according to behavior of $\alpha$ to keep errors very small and converge to solution very fast. Analysis of numerical scheme has been established thoroughly. Moreover, a reduced order technique is implemented by using moving mesh refinement to improve accuracy at several time levels.
  • Classification : 65N06, 65N12, 65N50, 65N15
  • Format : Online Talk on Zoom
  • Author(s) :
    • Rahul Kumar Maurya (Government Tilak P.G. College, Katni, Madhya Pradesh, India)
    • Vineet Kumar Singh (Indian Institute of Technology (BHU), Varanasi, India)