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

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

Abstract This paper proposes two numerical approaches for solving the coupled nonlinear time-fractional Burgers’ equations with initial or boundary conditions on the interval [ 0 , L ] $[0, L]$ . The first method is the non-polynomial B-spline method based on L1-approximation and the finite differen...

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Bibliographic Details
Main Authors: Adel R. Hadhoud, H. M. Srivastava, Abdulqawi A. M. Rageh
Format: Article
Language:English
Published: SpringerOpen 2021-10-01
Series:Advances in Difference Equations
Subjects:
Liouville–Caputo fractional derivative
Non-polynomial B-spline functions
Fractional coupled Burgers’ equation
Shifted Jacobi polynomial
Jacobi–Gauss quadrature
Von Neumann stability
Online Access:https://doi.org/10.1186/s13662-021-03604-5

Internet

https://doi.org/10.1186/s13662-021-03604-5

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