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首页> 外文期刊>Journal of Computational Methods in Physics >A New Spectral-Homotopy Perturbation Method and Its Application to Jeffery-Hamel Nanofluid Flow with High Magnetic Field
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A New Spectral-Homotopy Perturbation Method and Its Application to Jeffery-Hamel Nanofluid Flow with High Magnetic Field

机译：谱同伦摄动的一种新方法及其在高磁场Jeffery-Hamel纳米流体流中的应用

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摘要

We present a new modification of the homotopy perturbation method (HPM) for solving nonlinear boundary value problems. The technique is based on the standard homotopy perturbation method, and blending of the Chebyshev pseudospectral methods. The implementation of the new approach is demonstrated by solving the Jeffery-Hamel flow considering the effects of magnetic field and nanoparticle. Comparisons are made between the proposed technique, the standard homotopy perturbation method, and the numerical solutions to demonstrate the applicability, validity, and high accuracy of the present approach. The results demonstrate that the new modification is more efficient and converges faster than the standard homotopy perturbation method.
机译：我们提出了同伦摄动法（HPM）的一种新的解决方案来解决非线性边值问题。该技术基于标准的同伦微扰方法和Chebyshev伪光谱方法的混合。通过考虑磁场和纳米粒子的影响来解决Jeffery-Hamel流动，证明了新方法的实现。比较了所提出的技术，标准同伦摄动方法和数值解，以证明本方法的适用性，有效性和高精度。结果表明，新的修改比标准的同伦摄动方法更有效且收敛速度更快。

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