Modal spectral Tchebyshev Petrov–Galerkin stratagem for the time-fractional nonlinear Burgers’ equation

Modal spectral Tchebyshev Petrov–Galerkin stratagem for the time-fractional nonlinear Burgers’ equation

Herein, we construct an explicit modal numerical solver based on the spec-tral Petrov–Galerkin method via a specific combination of shifted Cheby-shev polynomial basis for handling the nonlinear time-fractional Burger-type partial differential equation in the Caputo sense. The process reduces the pr...

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Bibliographic Details
Main Authors: Y.H. Youssri, A.G. Atta
Format: Article
Language:English
Published: Ferdowsi University of Mashhad 2024-01-01
Series:Iranian Journal of Numerical Analysis and Optimization
Subjects:
time-fractional burgers’ equation
chebyshev polynomials
petrov–galerkin method
convergence analysis
Online Access:https://ijnao.um.ac.ir/article_44440_66f86391a179ed34bc141dfbaf0d1f6a.pdf

Internet

https://ijnao.um.ac.ir/article_44440_66f86391a179ed34bc141dfbaf0d1f6a.pdf

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