A linearisation method for non-linear singular boundary value problems

This paper presents a novel numerical approach for the solution of a class of nonlinear singular boundary value problems arising in physiology. The approach is based on a new application of the successive linearisation method (SLM). Three illustrative examples are presented to demonstrate the effect...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2012-04, Vol.63 (7), p.1197-1203
Main Authors: Motsa, S.S., Sibanda, P.
Format: Article
Language:English
Subjects:
Singular BVPs
Successive linearisation method
Tumour growth model
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Summary:This paper presents a novel numerical approach for the solution of a class of nonlinear singular boundary value problems arising in physiology. The approach is based on a new application of the successive linearisation method (SLM). Three illustrative examples are presented to demonstrate the effectiveness of the proposed method. The new approach is found to give accurate results comparable to results in the literature found using existing numerical methods.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.12.035