Numerical modelling of advection diffusion equation using Chebyshev spectral collocation method and Laplace transform

Numerical modelling of advection diffusion equation using Chebyshev spectral collocation method and Laplace transform

In this article a numerical method for numerical modelling of advection diffusion equation is developed. The proposed method is based on Laplace transform (LT) and Chebyshev spectral collocation method (CSCM). The LT is used for time-discretization and the CSCM is used for discretization of spatial...

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Bibliographic Details
Main Authors: Farman Ali Shah, Kamran, Kamal Shah, Thabet Abdeljawad
Format: Article
Language:English
Published: Elsevier 2024-02-01
Series:Results in Applied Mathematics
Subjects:
Laplace transform
Numerical inverse Laplace transform
Advection diffusion problems
Spectral collocation method
Contour integration method
Trapezoidal rule
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037423000663

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http://www.sciencedirect.com/science/article/pii/S2590037423000663

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