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

Robin, William

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