Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers' equations numerically

DOI10.1186/s13662-021-03604-5zbMath1494.65087OpenAlexW3204282490MaRDI QIDQ2167203

Abdulqawi A. M. Rageh, Adel R. Hadhoud, Hari M. Srivastava

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03604-5

zbMATH Keywords

shifted Jacobi polynomialvon Neumann stabilityJacobi-Gauss quadratureLiouville-Caputo fractional derivativefractional coupled Burgers' equationnon-polynomial B-spline functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (5)

MODIFIED FINITE ELEMENT NUMERICAL METHOD FOR SOLVING CONFORMABLE SPACE-TIME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ⋮ Numerical treatments of the nonlinear coupled time‐fractional Schrödinger equations ⋮ Implementation of an accurate method for the analysis and simulation of electrical R‐L circuits ⋮ Numerical method for solving two‐dimensional of the space and space–time fractional coupled reaction‐diffusion equations ⋮ An implicit scheme for time-fractional coupled generalized Burgers' equation

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