A New Application of Homotopy Perturbation Method to the Reaction-diffusion Brusselator Model
A New Application of Homotopy Perturbation Method to the Reaction-diffusion Brusselator Model
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DOI：
10.1016/j.sbspro.2010.12.090
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Md. Sazzad Hossien Chowdhury;T. Hassan;S. Mawa
中科院分区：
文献类型：
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作者：
Md. Sazzad Hossien Chowdhury;T. Hassan;S. Mawa
本文用同伦微扰法导出了反应扩散子模型解的解析表达式。这项工作的好处是双重的。首先，同伦摄动方法减少了计算工作量。其次，与现有方法相比，同伦摄动法在精度和收敛速度方面有所改进。同伦摄动法的优点是更简洁的分析和数值目的。实验结果表明了该方法的可靠性和有效性。
In this work, an analytical expression for the solution of the the reaction-diffusion Brusselator model is derived by the homotopy-perturbation method. The advantage of this work is twofold. Firstly, the homotopy-perturbation method reduces the computational work. Secondly, in comparison with existing techniques, the homotopy-perturbation method is an improvement with regard to its accuracy and rapid convergence. The homotopy-perturbation method has advantage of being more concise for analytical and numerical purposes. The results show the reliability and efficiency of the proposed method.