数学物理学报
數學物理學報
수학물이학보
ACTA MATHEMATICA SCIENTIA
2010年
2期
320-326
,共7页
准确解%奇异三阶边值问题%再生核空间
準確解%奇異三階邊值問題%再生覈空間
준학해%기이삼계변치문제%재생핵공간
Exact solution%Singular third-order boundary-value problem%Reproducing kernel space
奇异三阶边界值问题出现在排水和涂料流动等研究领域.该文基于再生核理论给出了一个新的算法来求解此类问题.方程的精确解以级数的形式在再生核空间W42[0,1]中给出.同时给出了一些算例说明了这个方法的有效性.
奇異三階邊界值問題齣現在排水和塗料流動等研究領域.該文基于再生覈理論給齣瞭一箇新的算法來求解此類問題.方程的精確解以級數的形式在再生覈空間W42[0,1]中給齣.同時給齣瞭一些算例說明瞭這箇方法的有效性.
기이삼계변계치문제출현재배수화도료류동등연구영역.해문기우재생핵이론급출료일개신적산법래구해차류문제.방정적정학해이급수적형식재재생핵공간W42[0,1]중급출.동시급출료일사산례설명료저개방법적유효성.
The singular third-order boundary value problem arises in the study of draining and coating flows. Based on the reproducing kernel space, a new algorithm is suggested in this paper to solve such problems. Representation of the exact solution is given in the form of series in the reproducing kernel space W42[0, 1]. Some examples are displayed to demonstrate the validity and applicability of the proposed method.
