On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity

Author: D. J. Evans   R. K. Mohanty  

Publisher: Taylor & Francis Ltd

ISSN: 0020-7160

Source: International Journal of Computer Mathematics, Vol.82, Iss.3, 2005-03, pp. : 341-353

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Abstract

In this paper, we report on a non-uniform mesh smart alternating group explicit (SMAGE) parallel algorithm for the solution of non-linear singular two-point boundary value (BV) problems. The proposed method requires three non-uniform grid points and is applicable to both singular and non-singular problems. We also discuss the Newton-SMAGE parallel algorithm for the non-linear difference equations. The error analysis of the method is discussed and numerical tests are performed to demonstrate the utility of the proposed SMAGE iterative methods.

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