Application of new iterative transform method and modified fractional homotopy analysis transform method for fractional Fornberg-Whitham equation

被引:16
作者
Wang, Kangle [1 ]
Liu, Sanyang [1 ]
机构
[1] Xidian Univ, Sch Math & Stat, Xian 710118, Peoples R China
来源
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期
关键词
Elzaki transform; iterative transform; homotopy analysis; fractional Fornberg-Whitham equation; LAPLACE TRANSFORMATION; DECOMPOSITION METHOD; PERTURBATION;
D O I
10.22436/jnsa.009.05.42
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main purpose of this paper is to present a new iterative transform method (NITM) and a modified fractional homotopy analysis transform method (MFHATM) for time-fractional Fornberg-Whitham equation. The numerical results show that the MFHATM and NITM are very efficient and highly accurate for nonlinear fractional differential equations. (C) 2016 All rights reserved.
引用
收藏
页码:2419 / 2433
页数:15
相关论文
共 32 条
[1]   The homotopy analysis method for solving the Fornberg-Whitham equation and comparison with Adomian's decomposition method [J].
Abidi, Faycal ;
Omrani, Khaled .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) :2743-2750
[3]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[4]  
Elzaki T.M., 2011, Adv. Theor. Appl. Math, V6, P1
[5]  
Elzaki TM, 2011, Glob. J. Pure Appl. Math, V7, P57
[6]  
Gejji V.D., 2006, J MATH ANAL APPL, V316, P753
[7]  
Gondal MA, 2010, INT J NONLIN SCI NUM, V11, P1145
[8]   Homotopy perturbation method for fractional Fornberg-Whitham equation [J].
Gupta, Praveen Kumar ;
Singh, Mithilesh .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) :250-254
[9]   Homotopy perturbation technique [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 178 (3-4) :257-262
[10]   Chebyshev type inequalities for general fuzzy integrals [J].
Hu, Yue .
INFORMATION SCIENCES, 2014, 278 :822-825