变分迭代法求解电纺中出现的 Bratu 型方程。
Variational iteration method for Bratu-like equation arising in electrospinning.
机构信息
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.
National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-ai Road, Suzhou 215123, China.
出版信息
Carbohydr Polym. 2014 May 25;105:229-30. doi: 10.1016/j.carbpol.2014.01.044. Epub 2014 Jan 22.
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.
本文指出，在电纺和振动电纺过程中出现的非线性方程的所谓增强变分迭代法（Colantoni 和 Boubaker，2014）实际上是标准变分迭代法。对于电纺中出现的 Bratu 型方程，提出了一种使用变分迭代算法-II 的有效算法。通过一次或几次迭代，选择合适的初始猜测可以得到相对准确的解。
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