Spectral solution of fractional fourth order partial integro-differential equations

	Spectral solution of fractional fourth order partial integro-differential equations
Computational Methods for Differential Equations
مقاله 11، دوره 7، شماره 2، تیر 2019، صفحه 289-301 اصل مقاله (273.32 K)
نوع مقاله: Research Paper
نویسندگان
Hamed Bazgir؛ Bahman Ghazanfari^*
Department of Mathematics, Lorestan University, Khorramabad, Iran
چکیده
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.
کلیدواژه‌ها
Integro-differential equation؛ Weakly singular kernel؛ Collocation method؛ Operational matrix

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