University of Tabriz Computational Methods for Differential Equations 2345-3982 7 2 2019 04 01 Spectral solution of fractional fourth order partial integro-differential equations 289 301 8691 EN Hamed Bazgir Department of Mathematics, Lorestan University, Khorramabad, Iran Bahman Ghazanfari Department of Mathematics, Lorestan University, Khorramabad, Iran Journal Article 2017 07 23 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. https://cmde.tabrizu.ac.ir/article_8691_1a42c129f42d1cc7ddccf2925ddd498d.pdf