Orthonormal discrete Legendre polynomials for nonlinear reaction‐diffusion equations with ABC fractional derivative and non‐local boundary conditions

This paper introduces a fractional version of reaction‐diffusion equations with non‐local boundary conditions via a non‐singular fractional derivative defined by Atangana and Baleanu. The orthonormal discrete Legendre polynomials are introduced as suitable family of basis functions to find the solut...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2023-08, Vol.46 (12), p.13423-13435
Hauptverfasser:	Heydari, Mohammad Hossein, Haji Shaabani, Mahmood, Rasti, Zahra
Format:	Artikel
Sprache:	eng
Schlagworte:	Atangana‐Baleanu fractional derivative Basis functions Boundary conditions Collocation methods Mathematical analysis non‐local boundary conditions orthonormal discrete legendre polynomials Polynomials Reaction-diffusion equations
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