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[01588] Stable numerical schemes and adaptive algorithms for fractional diffusion-wave equation

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E603
  • Type : Contributed Talk
  • Abstract : This work develops a stable scheme and adaptive algorithm for time-fractional mathematical models. 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, 65N50, 65N12, 65N15
  • Author(s) :
    • Vineet Kumar Singh (Indian Institute of Technology (BHU), Varanasi, India)
    • Rahul Kumar Maurya (Government Tilak P.G. College, Katni, Madhya Pradesh, India)