A Spectral Method for a Class of Nonlinear Quasi-Parabolic Equations

A Spectral Method for a Class of Nonlinear Quasi-Parabolic Equations

Year:    1994

Author:    Zheng-Zhong Zhou

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 1 : pp. 88–97

Abstract

In this paper, we consider the numerical solution of quasi-parabolic equations of higher order by a spectral method, and propose a computational formula. We give an error estimate of approximate solutions, and prove the convergence of the approximate method and numerical stability on initial values. Under certain conditions, which are much weaker than the conditions in [6], we gain the same convergence rate as in [6]. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1994-JCM-10230

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 1 : pp. 88–97

Published online:    1994-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:   

Author Details

Zheng-Zhong Zhou