Solutions of time-fractional Kudryashov-Sinelshchikov equation arising in the pressure waves in the liquid with gas bubbles

被引：17

作者：

Akram, Ghazala ^{[1
]}

Sadaf, Maasoomah ^{[1
]}

Anum, Nageela ^{[1
]}

机构：

[1] Univ Punjab, Dept Math, Lahore 54590, Pakistan

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2017年 / 49卷 / 11期

关键词：

Time-fractional Kudryashov-Sinelshchikov equation; Homotopy analysis method; Residual power series method; HOMOTOPY ANALYSIS METHOD; POWER-SERIES METHOD; BURGERS; SYSTEM;

D O I：

10.1007/s11082-017-1202-5

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, analytical approximate solutions for time-fractional Kudryashov-Sinelshchikov equation have been obtained. Two different techniques have been implemented to calculate the solutions, namely, homotopy analysis method and residual power series method. The approximate solutions are represented numerically and graphically for different values of fractional order of derivative. The numerical results are expressed in Tables 1, 2, 3 and 4 which show that the approximate solutions are in good agreement with the exact solution. The comparative study of the numerical results reveal that both methods are reliable and effective tools for the solution of time-fractional Kudryashov-Sinelshchikov equation.

引用

页数：16

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