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首页> 外文期刊>International journal of non-linear mechanics >Modified Adomian Decomposition Method for Van der Pol equations
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Modified Adomian Decomposition Method for Van der Pol equations

机译：Van der Pol方程的修正Adomian分解方法

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In the paper, the well known Adomian Decomposition Method (ADM) is modified to solve the parabolic equations. The present method is quite different than the numerical method. The results are compared with the existing exact or analytical method. The already known existing Adomian Decomposition Method is modified to improve the accuracy and convergence. Thus, the modified method is named as Modified Adomian Decomposition Method (MADM). The Modified Adomian Decomposition Method results are found to converge very quickly and are more accurate compared to ADM and numerical methods. MADM is quite efficient and is practically well suited for use in these problems. Several examples are given to check the reliability of the present method. Modified Adomian Decomposition Method is a non-numerical method which can be adapted for solving parabolic equations. In the current paper, the principle of the decomposition method is described, and its advantages are shown in the form of parabolic equations.
机译：在本文中，对众所周知的Adomian分解方法（ADM）进行了修改，以求解抛物线方程。本方法与数值方法完全不同。将结果与现有的精确或分析方法进行比较。对已知的现有Adomian分解方法进行了修改，以提高准确性和收敛性。因此，修改后的方法称为修改后的Adomian分解方法（MADM）。与ADM和数值方法相比，改进的Adomian分解方法结果收敛速度非常快，并且更准确。 MADM非常有效，非常适合用于这些问题。给出几个例子来检验本方法的可靠性。改进的Adomian分解方法是一种非数值方法，可以用于求解抛物线方程。在本文中，描述了分解方法的原理，并以抛物线方程的形式显示了其优点。

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