Spectral solution of fractional fourth order partial integro-differential equations

Document Type : Research Paper


Department of Mathematics, Lorestan University, Khorramabad, Iran


In this paper, mixed spectral method is applied to solve the fractional fourth order partial integro-differential equations together with weak singularity. Eigenfunctions of the fourth order self-adjoint positive-definite differential operator are used for the discretization of spatial variable and its derivatives. Also, shifted Legendre polynomials are applied to the discretization of time variable. Numerical results are presented for some problems to demonstrate the usefulness and accuracy of this approach. The method is easy to apply and produces very accurate numerical results.


Volume 7, Issue 2
April 2019
Pages 289-301
  • Receive Date: 23 July 2017
  • Revise Date: 17 June 2018
  • Accept Date: 02 March 2019
  • First Publish Date: 01 April 2019