Numerical Solution of Fractional Telegraph Equation Using the Second Kind Chebyshev Wavelets Method

نویسندگان

  • A. Sadeghian
  • M. H. Heydari
  • M. R. Hooshmandasl
  • S. M. Karbassi
چکیده

In this paper, the two-dimensional second kind Chebyshev wavelets are applied for numerical solution of the time-fractional telegraph equation with Dirichlet boundary conditions. In this way, a new operational matrix of fractional derivative for the second wavelets is derived and then this operational matrix has been employed to obtain the numerical solution of the above mentioned problem. The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations which greatly simplifying the problem. The power of this manageable method is illustrated.

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تاریخ انتشار 2015