New numerical simulation for fractional Benney-Lin equation arising in falling film problems using two novel techniques
New numerical simulation for fractional Benney-Lin equation arising in falling film problems using two novel techniques
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DOI：
10.1002/num.22526
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发表时间：
2020-08-17
影响因子：
3.9
通讯作者：
Baskonus, Haci Mehmet
中科院分区：
文献类型：
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作者：
Gao, Wei;Veeresha, Pundikala;Baskonus, Haci Mehmet
本工作的关键目标是使用两种有效的方法，即q-同伦分析变换法和分数阶自然分解法，找到分数式Benney-Lin方程的数值解。所考虑的方程举例说明了液膜上的长波。投影方法与求解过程不同，并用不同的变换算法进行修改。为了说明所考虑的解决方案的可靠性和适用性，我们考虑了具有不同初始条件的八种特殊情况。小数运算符是在卡普托意义上考虑的。所获得的结果被不同布朗运动和经典顺序的二维和三维图淹没。数值模拟的提出是为了确保所考虑技术的效率。在本框架中捕获了不同分数阶所获得结果的行为。本研究的结果表明，所考虑的方案对于解决科学技术中出现的非线性微分方程是有效且强大的。
The pivotal aim of the present work is to find the numerical solution for fractional Benney-Lin equation by using two efficient methods, calledq-homotopy analysis transform method and fractional natural decomposition method. The considered equation exemplifies the long waves on the liquid films. Projected methods are distinct with solution procedure and they are modified with different transform algorithms. To illustrate the reliability and applicability of the considered solution procedures we consider eight special cases with different initial conditions. The fractional operator is considered in Caputo sense. The achieved results are drowned through two and three-dimensional plots for different Brownian motions and classical order. The numerical simulations are presented to ensure the efficiency of considered techniques. The behavior of the obtained results for distinct fractional order is captured in the present framework. The outcomes of the present investigation show that, the considered schemes are efficient and powerful to solve nonlinear differential equations arise in science and technology.