Numerical investigation of variable‐order fractional Benjamin–Bona–Mahony–Burgers equation using a pseudo‐spectral method

DOI10.1002/mma.7297zbMath1486.65197OpenAlexW3135544397MaRDI QIDQ5004460

Zakieh Avazzadeh, Mohammad Hossein Heydari, Mohsen Razzaghi

Publication date: 2 August 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7297

zbMATH Keywords

pseudo-spectral methodvariable-order (VO) conformable fractional derivativeVO time fractional Benjamin-Bona-Mahony-Burgers (BBMB) equation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Best approximation, Chebyshev systems (41A50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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Vieta–Fibonacci wavelets: Application in solving fractional pantograph equations ⋮ Application of Pell collocation method for solving the general form of time-fractional Burgers equations ⋮ A new numerical formulation for the generalized time-fractional Benjamin Bona Mohany Burgers' equation ⋮ A spectral collocation method based on fractional Pell functions for solving time-fractional Black-Scholes option pricing model

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