The Solution of Fractional Wave Equation by using Modified Trial Equation Method and Homotopy Analysis Method

被引：10

作者：

Kocak, Zeynep Fidan ^{[1
]}

Bulut, Hasan ^{[2
]}

Yel, Gulnur ^{[1
]}

机构：

[1] Mugla Sitki Kocman Univ, Fac Sci, Dept Math, Mugla, Turkey

[2] Firat Univ, Dept Math, Fac Sci, Elazig, Turkey

来源：

10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014) | 2014年 / 1637卷

关键词：

Fractional Wave equation; Homotopy Analysis method; The Modified Trial Equation method;

D O I：

10.1063/1.4904617

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we applied the Homotopy Analysis method to the nonlinear fractional wave equation. Then, we executed a comparison between analytical solution obtained by using Modified Trial Equation method and approximate solution obtained via Homotopy Analysis method. Finally, we investigated errors analysis by drawing 3D and 2D graphics of the solution of fractional wave equation for different value of alpha.

引用

页码：504 / 512

页数：9

共 50 条

[1] The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation
Bulut, Hasan
Baskonus, Haci Mehmet
Pandir, Yusuf
ABSTRACT AND APPLIED ANALYSIS, 2013,
[2] An approximate solution of fractional cable equation by homotopy analysis method
Mustafa Inc
Ebru Cavlak
Mustafa Bayram
Boundary Value Problems, 2014
[3] An approximate solution of fractional cable equation by homotopy analysis method
Inc, Mustafa
Cavlak, Ebru
Bayram, Mustafa
BOUNDARY VALUE PROBLEMS, 2014,
[4] SOLUTION OF THE LOCAL FRACTIONAL GENERALIZED KDV EQUATION USING HOMOTOPY ANALYSIS METHOD
Jafari, Hossein
Prasad, Jyoti Geetesh
Goswami, Pranay
Dubey, Ravi shanker
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (05)
[5] A modified homotopy analysis method for solution of fractional wave equations
Yin, Xiang-Bao
Kumar, Sunil
Kumar, Devendra
ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (12)
[6] Solution of damped generalized regularized long-wave equation using a modified homotopy analysis method
Ghazala Akram
Maasoomah Sadaf
Indian Journal of Physics, 2018, 92 : 191 - 196
[7] Solution of damped generalized regularized long-wave equation using a modified homotopy analysis method
Akram, G.
Sadaf, M.
INDIAN JOURNAL OF PHYSICS, 2018, 92 (02) : 191 - 196
[8] Analysis of a time fractional wave-like equation with the homotopy analysis method
Xu, Hang
Cang, Jie
PHYSICS LETTERS A, 2008, 372 (08) : 1250 - 1255
[9] Application of homotopy perturbation method and homotopy analysis method to fractional vibration equation
Das, S.
Gupta, P. K.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 88 (02) : 430 - 441
[10] The Homotopy Analysis Method to Solve the Modified Equal Width Wave Equation
Yusufoglu, Elcin
Selam, Cevad
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (06) : 1434 - 1442

← 1 2 3 4 5 →