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[02638] A note on contribution of finite difference methods for fractional diffusion equations

  • Session Time & Room : 2C (Aug.22, 13:20-15:00) @G710
  • Type : Contributed Talk
  • Abstract : Since the last two decades, extensive research has been carried out on the numerical solution of fractional diffusion equations, particularly in finite difference methods. The finite difference schemes play a crucial role in obtaining the solution of fractional diffusion equations. The most popular are the explicit finite difference method, implicit finite difference method, and Crank-Nicolson finite difference method. This article focuses on developing finite difference schemes for fractional diffusion equations. Also, the stability and convergence of finite difference methods will be discussed by using the matrix norm method. Moreover, it will compare methods in the sense of accuracy and rate of convergence of these schemes. The last section will be devoted to the test problems.
  • Classification : 35R11, 65M06, 65M12
  • Format : Talk at Waseda University
  • Author(s) :
    • GUNVANT ACHUTRAO BIRAJDAR (Department of Mathematics, Institute of Chemical Technology, Mumbai)