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Some Remarks on the Homotopy-Analysis Method and Series Solutions to the Blasius Equation

Robin, William

Authors

William Robin



Abstract

We present an new angle on the introduction of the homotopy-analysis method of Liao [6]. The homotopy-analysis method is then applied to produce a series solution of the Blasius problem in two different ways and comparison made with the work of Wang [7], Hashim [5] and Ahmad [3]. A standard (Aitken [2]) acceleration technique is applied to improve the main results of the analysis.

Citation

Robin, W. (2013). Some Remarks on the Homotopy-Analysis Method and Series Solutions to the Blasius Equation. International Mathematical Forum, 8, 1205-1213. https://doi.org/10.12988/imf.2013.3478

Journal Article Type Article
Publication Date 2013
Deposit Date Apr 14, 2015
Publicly Available Date Apr 14, 2015
Electronic ISSN 1312-7594
Publisher Hikari
Peer Reviewed Peer Reviewed
Volume 8
Pages 1205-1213
DOI https://doi.org/10.12988/imf.2013.3478
Keywords Homotopy; Adomian; Blassius; series solutions; Aitken acceleration;
Public URL http://researchrepository.napier.ac.uk/id/eprint/7751
Publisher URL http://dx.doi.org/10.12988/imf.2013.3478

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