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Information Journal Paper

Title

Spectral solution of fractional fourth order partial integro-differential equations

Pages

  289-301

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.

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    APA: Copy

    Bazgir, Hamed, & GHAZANFARI, BAHMAN. (2019). Spectral solution of fractional fourth order partial integro-differential equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 7(2), 289-301. SID. https://sid.ir/paper/345678/en

    Vancouver: Copy

    Bazgir Hamed, GHAZANFARI BAHMAN. Spectral solution of fractional fourth order partial integro-differential equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2019;7(2):289-301. Available from: https://sid.ir/paper/345678/en

    IEEE: Copy

    Hamed Bazgir, and BAHMAN GHAZANFARI, “Spectral solution of fractional fourth order partial integro-differential equations,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 7, no. 2, pp. 289–301, 2019, [Online]. Available: https://sid.ir/paper/345678/en

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