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An implicit scheme for time-fractional coupled generalized Burgers’ equation

Vigo-Aguiar, J. ; Chawla, Reetika ; Kumar, Devendra ; Mazumdar, Tapas

Journal of mathematical chemistry, 2024-03, Vol.62 (3), p.689-710 [Periódico revisado por pares]

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Título:
An implicit scheme for time-fractional coupled generalized Burgers’ equation
Autor: Vigo-Aguiar, J. ; Chawla, Reetika ; Kumar, Devendra ; Mazumdar, Tapas
Assuntos: B spline functions ; Burgers equation ; Chemistry ; Chemistry and Materials Science ; Math. Applications in Chemistry ; Original Paper ; Physical Chemistry ; Quadratures ; Reliability analysis ; Stability analysis ; Theoretical and Computational Chemistry
É parte de: Journal of mathematical chemistry, 2024-03, Vol.62 (3), p.689-710
Descrição: This article presents an efficient implicit spline-based numerical technique to solve the time-fractional generalized coupled Burgers’ equation. The time-fractional derivative is considered in the Caputo sense. The time discretization of the fractional derivative is discussed using the quadrature formula. The quasilinearization process is used to linearize this non-linear problem. In this work, the formulation of the numerical scheme is broadly discussed using cubic B-spline functions. The stability of the proposed method is proved theoretically through Von-Neumann analysis. The reliability and efficiency are demonstrated by numerical experiments that validate theoretical results via tables and plots.
Editor: Cham: Springer International Publishing
Idioma: Inglês

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