Abstract In this article, Adomian decomposition method has been modified and two of the recursive relations for nonlinear oscillator and the nonlinear ordinary differential equation that arise from the boundary layer flow problem has been applied. The MHD, electrically conducted, steady, incompressible, and boundary layer flow past a cone and a wedge problem is modeled and reduced into boundary value problem by applying similarity transformations. Four recursive relations have been constructed with some parameters and some additional functions. The rate of convergence of solutions series is enhanced by imposing the conditions of no secular terms in the solutions series. It is also to be noted that the way of choosing linear operator yields the exact solution of nonlinear boundary value problem in the case of flow past a wedge. Comparisons of the numerical solutions obtained from Matlab solver “bvp4c” with the approximate solutions obtained by the recursive relations of the present method are also presented.

中文翻译：

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广义分解方法：非线性振荡器和 MHD 流体流过锥体/楔形几何体的应用

摘要 本文修改了Adomian分解方法，应用了非线性振子的两个递归关系和边界层流动问题产生的非线性常微分方程。通过应用相似变换，MHD、导电、稳定、不可压缩和边界层流经过锥形和楔形问题被建模并简化为边界值问题。已经用一些参数和一些附加函数构造了四个递归关系。通过在解系列中施加没有长期项的条件，可以提高解系列的收敛速度。还需要注意的是，选择线性算子的方式可以在流过楔子的情况下产生非线性边值问题的精确解。