Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method

被引：2

作者：

Liu, Yanqin ^{[1
,2
]}

机构：

[1] Dezhou Univ, Dept Math, Dezhou 253023, Peoples R China

[2] Tianjin Univ, Nonlinear Dynam & Chaos Grp, Sch Management, Tianjin 30072, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

中国博士后科学基金; 美国国家科学基金会;

关键词：

DECOMPOSITION METHOD; DIFFUSION EQUATION; NUMERICAL-SOLUTION; ITERATIVE METHODS;

D O I：

10.1155/2012/752869

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He's polynomials. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.

引用

页数：14

共 50 条

[31] LOCAL FRACTIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING FRACTAL PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS
Yang, Xiao-Jun
Srivastava, H. M.
Cattani, Carlo
ROMANIAN REPORTS IN PHYSICS, 2015, 67 (03) : 752 - 761
[32] MODIFIED HOMOTOPY PERTURBATION METHOD COUPLED WITH LAPLACE TRANSFORM FOR FRACTIONAL HEAT TRANSFER AND POROUS MEDIA EQUATIONS
Yan, Li-Mei
THERMAL SCIENCE, 2013, 17 (05): : 1409 - 1414
[33] Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations
Doha, Eid H.
Abdelkawy, Mohamed A.
Amin, Ahmed Z. M.
Baleanu, Dumitru
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (02): : 176 - 188
[34] An Optimal Choice of Initial Solutions in the Homotopy Perturbation Method
Hesameddini, Esmail
Latifizadeh, Habibolla
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (11-12) : 1389 - 1398
[35] Homotopy perturbation method for fractional Fornberg-Whitham equation
Gupta, Praveen Kumar
Singh, Mithilesh
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 250 - 254
[36] An Investigation on Existence, Uniqueness, and Approximate Solutions for Two-Dimensional Nonlinear Fractional Integro-Differential Equations
Eftekhari, Tahereh
Rashidinia, Jalil
MATHEMATICS, 2023, 11 (04)
[37] Least Square Homotopy Perturbation Method for Ordinary Differential Equations
Qayyum, Mubashir
Oscar, Imbsat
JOURNAL OF MATHEMATICS, 2021, 2021
[38] On the approximate solutions of the fractional neutron point kinetics equations
Sadeghi, H.
Darania, P.
ANNALS OF NUCLEAR ENERGY, 2020, 148
[39] Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains
Zhang, Yu
Cattani, Carlo
Yang, Xiao-Jun
ENTROPY, 2015, 17 (10) : 6753 - 6764
[40] Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method
Sadighi, A.
Ganji, D. D.
Ganjavi, B.
SCIENTIA IRANICA TRANSACTION B-MECHANICAL ENGINEERING, 2009, 16 (02): : 189 - 195

← 1 2 3 4 5 →