改进的同伦分析法及其在非齐次微分方程中的应用
A modified homotopy analysis method and their application to non-homogeneous differential equations
改进的同伦分析法，是针对解齐次微分方程而提出的。这种新方法的优点在于，如果我们恰当的分解非齐次项，便可以加快收敛速度，减少迭代次数，从而节省时间，提高效率。文章举出了几个例子有力的证明了这一点。
modified homotopy analysis method(HAM) is presented for solving nonhomogeneous differential equations. The main advantage of the modified HAM is that we can accelerate the convergence rate, minimize iterative times, accordingly, save the computation time and evaluate the efficiency, if we choose the proper decomposition for the nonhomogeneous term in the modified HAM. Examples showed the capability of the modified HAM.
赵梅妹、李超
数学
同伦分析法，改进的同伦分析法，非齐次微分方程
he homotopy analysis method The modified homotopy analysis method nonhomogeneous differential equations.
赵梅妹,李超.改进的同伦分析法及其在非齐次微分方程中的应用[EB/OL].(2008-05-27)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200805-779.点此复制
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