Legendre-collocation spectral solver for variable-order fractional functional differential equations
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-8-1_007
تاریخ نمایه سازی: 15 بهمن 1401
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.
Keywords:
Variable-order fractional functional differential equations , Shifted Legendre polynomials , Gauss-Legendre nodes , Matrix equation