Shifted Gegenbauer-Gauss Collocation Method for Solving Fractional Neutral Functional-Differential Equations with Proportional Delays

DOI10.46793/KgJMat2206.981HOpenAlexW4311449862MaRDI QIDQ5881386

Youssri H. Youssri, Ramy M. Hafez

Publication date: 9 March 2023

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/74/12_eng.html

zbMATH Keywords

collocation methodproportional delayshifted Gegenbauer polynomialsneutral fractional functional-differential equationsshifted Gegenbauer-Gauss quadrature

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Neutral functional-differential equations (34K40)

Related Items (9)

Perturbed Galerkin method for solving integro-differential equations ⋮ Initial value problems with generalized fractional derivatives and their solutions via generalized Laplace decomposition method ⋮ Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems ⋮ Robust spectral treatment for time-fractional delay partial differential equations ⋮ A mathematical modeling and numerical study for stochastic Fisher–SI model driven by space uniform white noise ⋮ Novel spectral schemes to fractional problems with nonsmooth solutions ⋮ Unnamed Item ⋮ Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials ⋮ Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems

Uses Software

• Matlab

Cites Work

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