Variational iteration method for Bratu-like equation arising in electrospinning

Ji-Huan He; Hai-Yan Kong; Rou-Xi Chen; Ming-sheng Hu; Qiao-ling Chen

doi:10.1016/j.carbpol.2014.01.044

Variational iteration method for Bratu-like equation arising in electrospinning

Carbohydr Polym. 2014 May 25:105:229-30. doi: 10.1016/j.carbpol.2014.01.044. Epub 2014 Jan 22.

Authors

Ji-Huan He¹, Hai-Yan Kong², Rou-Xi Chen², Ming-sheng Hu³, Qiao-ling Chen⁴

Affiliations

¹ National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-ai Road, Suzhou 215123, China; Nantong Textile Institute, Soochow University, 58 Chong Chuan Road, Nantong, China. Electronic address: hejihuan@suda.edu.cn.
² National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-ai Road, Suzhou 215123, China.
³ College of Information Science & Technology, Zhengzhou Normal University, Zhengzhou 450044, China. Electronic address: hero_jack@163.com.
⁴ College of Information Science & Technology, Zhengzhou Normal University, Zhengzhou 450044, China.

PMID: 24708974
DOI: 10.1016/j.carbpol.2014.01.044

Abstract

This paper points out that the so called enhanced variational iteration method (Colantoni & Boubaker, 2014) for a nonlinear equation arising in electrospinning and vibration-electrospinning process is the standard variational iteration method. An effective algorithm using the variational iteration algorithm-II is suggested for Bratu-like equation arising in electrospinning. A suitable choice of initial guess results in a relatively accurate solution by one or few iteration.

Keywords: Analytical solution; Bubbfil spinning; Electrospinning; Variational iteration method; Vibration-electrospinning.

Publication types

Research Support, Non-U.S. Gov't