【摘要】：針對四階微分方程線性和非線性邊界值數(shù)值解問題,提出了一種使用同倫攝動法的求解方法.首先,在Caputo意義下描述分數(shù)導數(shù)算子;然后,確定合適的邊界初始條件將方程降為經(jīng)典方程;最后,使用同倫參數(shù)來展開求解.實例計算證明了提出方法的有效性、簡單性和可靠性.
[Abstract]:A homotopy perturbation method is proposed for solving the linear and nonlinear boundary value numerical solutions of fourth order differential equations. First, the fractional derivative operator is described in the sense of Caputo; then, the proper boundary initial conditions are determined to reduce the equation to classical equation; finally, the homotopy parameter is used to solve the problem. Examples show that the proposed method is effective, simple and reliable.
【作者單位】： 濰坊科技學院通識學院(計算機系);山西大學計算機工程系;
【基金】：山東省教育科學“十二五”規(guī)劃“高等教育數(shù)學專項”課題(CBS15001)
【分類號】：O241.8

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