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Information Journal Paper

Title

Legendre-collocation spectral solver for variable-order fractional functional differential equations

Pages

  99-110

Abstract

 A numerical method for the Variable-order fractional functional differential equations (VO-FFDEs) has been developed. This method is based on approximation with Shifted Legendre polynomials. The properties of the latter were stated, first. These properties, together with the shifted Gauss-Legendre nodes were then utilized to reduce the VO-FFDEs into a solution of Matrix equation. Sequentially, the error estimation of the proposed method was investigated. The validity and efficiency of our method were examined and verified via numerical examples.

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    APA: Copy

    Hafez, Ramy Mahmoud, & YOUSSRI, YOUSSRI HASSAN. (2020). Legendre-collocation spectral solver for variable-order fractional functional differential equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 8(1), 99-110. SID. https://sid.ir/paper/345759/en

    Vancouver: Copy

    Hafez Ramy Mahmoud, YOUSSRI YOUSSRI HASSAN. Legendre-collocation spectral solver for variable-order fractional functional differential equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2020;8(1):99-110. Available from: https://sid.ir/paper/345759/en

    IEEE: Copy

    Ramy Mahmoud Hafez, and YOUSSRI HASSAN YOUSSRI, “Legendre-collocation spectral solver for variable-order fractional functional differential equations,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 8, no. 1, pp. 99–110, 2020, [Online]. Available: https://sid.ir/paper/345759/en

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