27
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Fast methods for the iterative solution of linear elliptic and parabolic partial differential equations involving 2 space dimensions

&
Pages 335-358 | Published online: 21 Dec 2010
 

Abstract

Within the last decade, attention has been devoted to the introduction of several fast computational methods for solving the linear difference equations which are derived from the finite difference discretisation of many standard partial differential equations of Mathematical Physics.

In this paper, the authors develop and extend an exact factorisation technique previously applied to parabolic equations in one space dimension to the implicit difference equations which are derived from the application of alternating direction implicit methods when applied to elliptic and parabolic partial differential equations in 2 space dimensions under a variety of boundary conditions.

Computing review catogries:

On leave of absence from University of Ioannina, Ioannina, Greece.

On leave of absence from University of Ioannina, Ioannina, Greece.

Notes

On leave of absence from University of Ioannina, Ioannina, Greece.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.