Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations

Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations

Abstract We provide here a novel approach for solving IVPs in ODEs and MTFDEs numerically by means of a class of MSJPs. Using the SCM, we build OMs for RIs and RLFI for MSJPs as part of our process. These architectures guarantee accurate and efficient numerical computations. We provide theoretical a...

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Bibliographic Details
Main Author: H. M. Ahmed
Format: Article
Language:English
Published: SpringerOpen 2024-06-01
Series:Boundary Value Problems
Subjects:
Jacobi polynomials
Fractional differential equations
Riemann–Liouville fractional integral
Generalized hypergeometric functions
Collocation method
Initial value problems
Online Access:https://doi.org/10.1186/s13661-024-01880-0

Internet

https://doi.org/10.1186/s13661-024-01880-0

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