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复杂边界条件下任意变系数微分方程的半解析方法 被引量:2
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作者 黎明安 王忠民 郭志勇 《应用数学和力学》 EI CSCD 北大核心 2003年第2期215-220,共6页
 利用有限元和矩阵函数的有关理论与变系数等效参数相结合,提出了一种求解变系数微分方程的解法,利用它能方便地处理由于各种原因导致其控制方程是变系数的微分方程,最后通过两个算例。
关键词 复杂边界条件 变系数微分方程 等效参数 域内解 半解析解
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A SEMI-ANALYSIS METHOD OF DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS UNDER COMPLICATED BOUNDARY CONDITIONS
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作者 黎明安 王忠民 郭志勇 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第2期241-246,共6页
Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential e... Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential equations with variable coefficients. On most occasions and due to the nonuniformity nature, nonlinearity property can cause the equations of the kinds. Using the model, the satisfactory valuable results with only a few units can be obtained. 展开更多
关键词 differential equation with variable coefficients equivalent parameter solution in the domain solution of semi_analysis
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