求解一类三阶边值问题的Adomian分解方法  

The Adomian Decomposition Method for a Class of Third-order Boundary Value Problems

作　　者：金怡[1] 陈靓[2] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036 [2]杭州第一技师学院园林系,浙江杭州310005

出　　处：《杭州师范学院学报（自然科学版）》2008年第1期35-39,共5页Journal of Hangzhou Teachers College(Natural Science)

摘　　要：利用Adomian分解方法近似求解一类产生于物理问题中的三阶障碍边值问题.给出了实现该方法的数值例子,并与其他方法比较,以验证该方法的有效性.In this paper we present a fast and accurate numerical scheme for a system of third-order boundary value problems associated with obstacle, unilateral and contact problems. The decomposition method and a modified form of this method are applied to construct the numerical solutions. The scheme is tested on an example and the obtained results demonstrate efficiency of the proposed method.

关 键 词：ADOMIAN分解法 三阶边值问题 障碍问题 变分不等式 

分 类 号：O175.8[理学—数学]