Mine Babaoğlu
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引用次数: 0

摘要

本文利用同伦摄动法求解了一维Burgers方程和耦合Burgers方程。利用Wolfram Mathematica软件中的计算程序,构造了一些解的二维和三维图形和表格。本研究得到的所有解都验证了该方法的有效性。结果表明,我们得到的解收敛到解析解的速度非常快。总之,我们可以说,本方法也可以应用于广泛的非线性问题的求解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Burgers ve coupled Burgers denklemlerinin tam ve nümerik çözümleri üzerine
In this work, one dimensional Burgers' equation and coupled Burgers' equation are solved via Homotopy perturbation method (HPM). Solutions two and three-dimensional graphics and tables of some obtained results are constructed with the help of the computational program in the Wolfram Mathematica. All the solutions found in this study validate the efficiency of the method. According to the results, we have found out that our gained solutions convergence very speedily to the analytical solutions. In conclusion, we can say that the present method can also be applied for the solutions of a wide range of nonlinear problems.
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