Homotopy Perturbation Method for Nonlinear Exponential Boundary Layer Equation using Laplace Transformation, He's Polynomials and Pade Technology He's Polynomials and Pade Technology
Homotopy Perturbation Method for Nonlinear Exponential Boundary Layer Equation using Laplace Transformation, He's Polynomials and Pade Technology He's Polynomials and Pade Technology
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DOI：
10.1515/ijnsns.2010.11.12.1145
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发表时间：
2010
影响因子：
1.5
通讯作者：
Muhammad Asif Gondal,;Majid Khan
中科院分区：
文献类型：
--
作者：
Muhammad Asif Gondal,;Majid Khan
本文将同伦摄动法、拉普拉斯变换和Pade近似相结合，提出了一种新的求解非线性指数边界层方程级数解的可靠方法。该方法被称为同伦扰动变换Pade方法（HPTPM）。在同伦摄动法的基础上，利用何氏多项式可以方便地处理非线性项。该方法对指数边界层方程的非线性行为不加限制，并利用Pade逼近加速级数解的收敛，这是新算法优于分解法的一个显著特点。
In this article, we proposed a new reliable combination of homotopy perturbation method, Laplace transformation and Pade approximation to obtain the series solution of nonlinear exponential boundary layer equation. The propose method is called homotopy perturbation transform Pade method (HPTPM). The nonlinear term can easily be handled with the help of He's polynomials based on homotopy perturbation method. The proposed method solve exponential boundary layer equation without restrictions on the nonlinear behavior and use Pade approximants to accelerate the convergence of obtained series solution which can be considered as a significant features of the new algorithm over decomposition method.