Aminikhah Hossein, Malekzadeh Nasrin, Rezazadeh Hadi
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht 41938, Iran.
Int Sch Res Notices. 2014 Oct 29;2014:647492. doi: 10.1155/2014/647492. eCollection 2014.
The present work introduces an effective modification of homotopy perturbation method for the solution of nonlinear time-fractional biological population model and a system of three nonlinear time-fractional partial differential equations. In this approach, the solution is considered a series expansion that converges to the nonlinear problem. The new approximate analytical procedure depends only on two iteratives. The analytical approximations to the solution are reliable and confirm the ability of the new homotopy perturbation method as an easy device for computing the solution of nonlinear equations.
本文介绍了一种用于求解非线性时间分数阶生物种群模型和一个由三个非线性时间分数阶偏微分方程组成的系统的同伦摄动法的有效改进方法。在这种方法中，解被视为收敛于非线性问题的级数展开。新的近似解析过程仅依赖于两次迭代。解的解析近似是可靠的，并证实了新的同伦摄动法作为一种计算非线性方程解的简便工具的能力。
