Multi-domain multivariate spectral collocation method for (2+1) dimensional nonlinear partial differential equations

Multi-domain multivariate spectral collocation method for (2+1) dimensional nonlinear partial differential equations

The novelty of this work rests upon the use of the domain partitioning technique in time variable when discretizing the domain of solution in spectral collocation algorithm. The single domain multivariate spectral collocation based methods have been proven to be effective in solving time-dependent p...

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Bibliographic Details
Main Authors: M.P. Mkhatshwa, M. Khumalo, P.G. Dlamini
Format: Article
Language:English
Published: Elsevier 2022-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Multi-domain
Multivariate spectral quasilinearisation method
(2+1) dimensional PDEs
Chebyshev–Gauss–Lobatto points
Trivariate Lagrange interpolation
Kronecker tensor product
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818122000924

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http://www.sciencedirect.com/science/article/pii/S2666818122000924

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