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

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-TAG...

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Bibliographic Details
Published inInternational journal of computer mathematics Vol. 82; no. 10; pp. 1261 - 1273
Main Authors Mohanty, R. K., Khosla, N.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.10.2005
Subjects
Burgers equation
Convection diffusion equation
Newton-TAGE method
Singular equation
TAGE method
Third-order method
Variable mesh
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160500113504