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

Ghazala Akram; Maasoomah Sadaf; Nageela Anum

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

机译：气泡在液体中的压力波中产生的时间分数式Kudryashov-Sinelshchikov方程的解

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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.

机译：本文获得了时间分数阶Kudryashov-Sinelshchikov方程的解析近似解。已经实现了两种不同的技术来计算解，即同伦分析法和残差幂级数法。对于导数的分数阶的不同值，以数字和图形方式表示近似解。数值结果表示在表1、2、3和4中，这些表表明近似解与精确解非常吻合。数值结果的比较研究表明，这两种方法都是求解时间分数阶Kudryashov-Sinelshchikov方程的可靠且有效的工具。

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来源
《Optical and quantum electronics》 |2017年第11期|373.1-373.16|共16页
作者
Ghazala Akram; Maasoomah Sadaf; Nageela Anum;
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作者单位

Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan;

Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan;

Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Time-fractional Kudryashov-Sinelshchikov equation; Homotopy analysis method; Residual power series method;

机译：时间分数维Kudryashov-Sinelshchikov方程;同态分析方法;剩余功率级数法;

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1. Exact solutions of the Kudryashov-Sinelshchikov equation in ideal liquid with gas bubbles [J] . Zhou Ai-Juan, Chen Ai-Hua Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2018,第12期

机译：气泡理想液体Kudryashov-Sinelshchikov方程的精确解决方案
2. Nonlinear Wave Equations for Pressure Wave Propagation in Liquids Containing Gas Bubbles [J] . Tetsuya KANAGAWA, Masao WATANABE, Takeru YANO, Journal of Fluid Science and Technology . 2011,第6期

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3. The comparison of two reliable methods for accurate solution of time-fractional Kaup-Kupershmidt equation arising in capillary gravity waves [J] . Gupta A. K., Ray S. Saha Mathematical Methods in the Applied Sciences . 2016,第3期

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4. PROPAGATION OF PRESSURE WAVES, CAUSED BY A THERMAL SHOCK, IN LIQUID METALS CONTAINING GAS BUBBLES [C] . K. Okita, Y. Matsumoto, S. Takagi ASME(American Society of Mechanical Engineers) Fluids Engineering Division Summer Conference(FEDSM2005) vol.2; 20050619-23; Houston,TX(US) . 2005

机译：由热冲击引起的压力波在含气泡的液态金属中的传播
5. Hydrodynamics in a bubble column at elevated pressures and turbulence energy distribution in bubbling gas-liquid and gas-liquid-solid flow systems. [D] . Cui, Zhe. 2005

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6. Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics [O] . Abdulla - Al Mamun, Samsun Nahar Ananna, Tianqing An, 2021

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

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