Asymptotic convergence of cubic Hermite collocation method for parabolic partial differential equation

•Asymptotic convergence of cubic Hermite collocation method for PDEs is established of order 2.•Zeros of Chebyshev polynomials are used as collocation points.•Theoretical results are verified for two test problems. In this paper, the asymptotic convergence of cubic Hermite collocation method in cont...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics and computation Vol. 220; pp. 560 - 567
Main Authors Ganaie, Ishfaq Ahmad, Gupta, Bharti, Parumasur, N., Singh, P., Kukreja, V.K.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.2013
Subjects
Chebyshev polynomials
Collocation points
Error estimates
Hermite basis
Spectral norms
Spectral norms
Hermite basis
Collocation points
Error estimates
Chebyshev polynomials
Online AccessGet full text
ISSN0096-3003
1873-5649
DOI10.1016/j.amc.2013.05.073

Cover

More Information
Summary:•Asymptotic convergence of cubic Hermite collocation method for PDEs is established of order 2.•Zeros of Chebyshev polynomials are used as collocation points.•Theoretical results are verified for two test problems. In this paper, the asymptotic convergence of cubic Hermite collocation method in continuous time for the parabolic partial differential equation is established of order Oh2. The linear combination of cubic Hermite basis taken as approximating function is evaluated using the zeros of Chebyshev polynomials as collocation points. The theoretical results are verified for two test problems.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.05.073