摘要
针对时间分数阶Pennes生物传热方程,构造了同伦摄动法,将同伦摄动法(HPM)与差分方法相结合,求出了关于时间分数阶Pennes生物传热方程的三阶近似解,并给出了数值算例.结果表明:HPM方法求解Pennes方程近似解时,具有数值解精度高,计算简单的优点.
The homotopy perturbation method is extended to solve time fractional partial differential Pennes equation.In combination with difference method,the third order approximate solutions are obtained at ease.The numerical solutions of the Pennes equation under some values of the fractional order are given.The results show that HPM method with difference method is of high accuracy and easy computation.
作者
覃燕梅
QIN Yan-mei(College of Mathematics and Information Science, Neijiang Normal University, Neijiang,Sichuan 641199,China)
出处
《内江师范学院学报》
2016年第6期16-18,共3页
Journal of Neijiang Normal University
基金
四川省教育厅科研项目(15ZA0288)
内江师范学院重点科研项目(14ZA02)
关键词
同伦摄动法
分数阶
Pennes方程
homotopy perturbation method
Pennes equation
difference method
