Variational iteration method for solving time-fractional diffusion equations in porous the medium

作     者：吴国成 Wu Guo-Cheng~(a)b)) a) Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal University,Neijiang 641112,China b) College of Water Resources and Hydropower,Sichuan University,Chengdu 610065,China

作者机构：Key Laboratory of Numerical Simulation of Sichuan ProvinceNeijiang Normal UniversityNeijiang 641112China College of Water Resources and HydropowerSichuan UniversityChengdu 610065China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2012年第21卷第12期

页      面：118-122页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 51134018) 

主　　题：time-fractional diffusion equation Captuo derivative Riemann-Liouville derivative,variational iteration method Laplace transform 

摘      要：The variational iteration method is successfully extended to the case of solving fractional differential equations, and the Lagrange multiplier of the method is identified in a more accurate way. Some diffusion models with fractional derivatives are investigated analytically, and the results show the efficiency of the new Lagrange multiplier for fractional differential equations of arbitrary order.