A collocation spectral method for two-dimensional Sobolev equations

Abstract This article mainly studies a collocation spectral method for two-dimensional (2D) Sobolev equations. To this end, a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev equations is first established. And then, the existence, uniqueness, stability, and convergen...

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Bibliographic Details

Published in:	Boundary Value Problems
Main Authors:	Shiju Jin, Zhendong Luo
Format:	Article
Language:	English
Published:	SpringerOpen 2018-05-01
Subjects:	Collocation spectral method Sobolev equation Existence and stability as well as convergence Numerical experiment
Online Access:	http://link.springer.com/article/10.1186/s13661-018-1004-0