Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations

Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations

Abstract In this research, we study a general class of variable order integro-differential equations (VO-IDEs). We propose a numerical scheme based on the shifted fifth-kind Chebyshev polynomials (SFKCPs). First, in this scheme, we expand the unknown function and its derivatives in terms of the SFKC...

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Bibliographic Details
Main Authors: H. Jafari, S. Nemati, R. M. Ganji
Format: Article
Language:English
Published: SpringerOpen 2021-10-01
Series:Advances in Difference Equations
Subjects:
Shifted fifth-kind Chebyshev polynomials
Variable order
Nonlinear integro-differential equations
Operational matrix
Convergence analysis
Online Access:https://doi.org/10.1186/s13662-021-03588-2

Internet

https://doi.org/10.1186/s13662-021-03588-2

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