Back to Search
Start Over
Shifted Monic Ultraspherical Approximation for solving some of Fractional Orders Differential Equations
- Source :
- Current Science International, 8(2), 252-259 (2019)
- Publication Year :
- 2021
-
Abstract
- The purpose of this paper is to show and explain a new formula that indicates with finality the derivatives of Shifted Monic Ultraspherical polynomials (SMUPs) of any degree and for any fractional-order using the shifted Monic Ultraspherical polynomials themselves. We also create a direct method solution for the linear or nonlinear multi-order fractional differential equations (FDEs) with constant coefficients involving a spectral Galerkin method. The spatial approximation with its fractional order derivatives (described in the Caputo sense) are built using shifted Monic Ultraspherical polynomials.
- Subjects :
- Mathematics - Numerical Analysis
Subjects
Details
- Database :
- arXiv
- Journal :
- Current Science International, 8(2), 252-259 (2019)
- Publication Type :
- Report
- Accession number :
- edsarx.2103.10347
- Document Type :
- Working Paper