A shooting like method based on the shifted Chebyshev polynomials for solving nonlinear fractional multi-point boundary value problem

DOI10.1016/j.chaos.2022.112159zbMath1505.34008OpenAlexW4280609966MaRDI QIDQ2113146

Babak Azarnavid, Mahdi Emamjomeh, Mohammad Nabati

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112159

zbMATH Keywords

convergence analysisshifted Chebyshev polynomialsmulti-point boundary conditionsnonlinear fractional boundary value problemsiterative shooting method

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (2)

An efficient iterative method for multi-order nonlinear fractional differential equations based on the integrated Bernoulli polynomials ⋮ The Bernoulli polynomials reproducing kernel method for nonlinear Volterra integro-differential equations of fractional order with convergence analysis

Uses Software

• Fractional Order Chaotic Systems

Cites Work

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