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[00388] Numerical solution of distributed order time-fractional diffusion equations.

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G601
  • Type : Contributed Talk
  • Abstract : In this work, we solved distributed order time-fractional diffusion equation with the help of a wavelet approximation scheme and the Gauss quadrature rule. First, we construct wavelet-based operational matrices of distributed order fractional derivatives and integer order derivatives. After the construction of the operational matrix apply the tau method and convert the original mathematical problem into a system of linear algebraic equations and solve the equations for finding the approximate solutions. For method validation, we have provided some test examples, convergence analysis, and error estimation, and verify with the existing scheme with one of the existing schemes.
  • Classification : 35J99, 65N35, 65N99
  • Format : Talk at Waseda University
  • Author(s) :
    • Yashveer Kumar (Indian Institute of Technology(BHU), Varanasi, India.)
    • Vineet Kumar Singh (Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, India.)