Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 82, 2005 - Issue 10
Submit an article Journal homepage
83
Views
16
CrossRef citations to date
0
Altmetric
Original Articles

A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems

R. K. Mohanty Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, IndiaCorrespondence[email protected]
&
N. Khosla Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, India
Pages 1261-1273 | Received 07 Sep 2004, Published online: 19 Aug 2006
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

We propose a third-order-accurate variable-mesh two-parameter alternating group explicit (TAGE) iteration method for the numerical solution of the two-point singular boundary value problem

subject to boundary conditions u(0)=A, u(1)=B, where A and B are finite constants. We also discuss a Newton–TAGE iteration method for the third-order numerical solution of a two-point non-linear boundary value problem. The proposed method is applicable to singular and non-singular problems and is suitable for use on parallel computers. The convergence analysis is briefly discussed. Computational results are provided to illustrate the proposed TAGE iterative methods.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related Research Data

A new coupled reduced alternating group explicit method for nonlinear singular two-point boundary value problems on a variable mesh
Source: Pleiades Publishing Ltd
Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems
Source: Informa UK Limited
Variable mesh methods for the numerical solution of two-point singular perturbation problems
Source: Elsevier BV
A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
Source: Oxford University Press (OUP)
Group explicit iterative methods for solving large linear systems
Source: Informa UK Limited
Iterative methods for solving non-linear two point boundary value problems
Source: Informa UK Limited

Linking provided by 

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.