Department of Mathematics, Lorestan University, Khorramabad, Iran
Abstract
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.
Bazgir, H., & Ghazanfari, B. (2019). Spectral solution of fractional fourth order partial integro-differential equations. Computational Methods for Differential Equations, 7(2), 289-301.
MLA
Hamed Bazgir; Bahman Ghazanfari. "Spectral solution of fractional fourth order partial integro-differential equations". Computational Methods for Differential Equations, 7, 2, 2019, 289-301.
HARVARD
Bazgir, H., Ghazanfari, B. (2019). 'Spectral solution of fractional fourth order partial integro-differential equations', Computational Methods for Differential Equations, 7(2), pp. 289-301.
VANCOUVER
Bazgir, H., Ghazanfari, B. Spectral solution of fractional fourth order partial integro-differential equations. Computational Methods for Differential Equations, 2019; 7(2): 289-301.
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